| 88 |
|
uri = {<Go to ISI>://000232532000064}, |
| 89 |
|
} |
| 90 |
|
|
| 91 |
+ |
@BOOK{Alexander1987, |
| 92 |
+ |
title = {A Pattern Language: Towns, Buildings, Construction}, |
| 93 |
+ |
publisher = {Oxford University Press}, |
| 94 |
+ |
year = {1987}, |
| 95 |
+ |
author = {C. Alexander}, |
| 96 |
+ |
address = {New York}, |
| 97 |
+ |
} |
| 98 |
+ |
|
| 99 |
|
@BOOK{Allen1987, |
| 100 |
|
title = {Computer Simulations of Liquids}, |
| 101 |
|
publisher = {Oxford University Press}, |
| 133 |
|
uri = {<Go to ISI>://A1991EU81400029}, |
| 134 |
|
} |
| 135 |
|
|
| 136 |
+ |
@ARTICLE{Andersen1983, |
| 137 |
+ |
author = {H. C. Andersen}, |
| 138 |
+ |
title = {Rattle - a Velocity Version of the Shake Algorithm for Molecular-Dynamics |
| 139 |
+ |
Calculations}, |
| 140 |
+ |
journal = {Journal of Computational Physics}, |
| 141 |
+ |
year = {1983}, |
| 142 |
+ |
volume = {52}, |
| 143 |
+ |
pages = {24-34}, |
| 144 |
+ |
number = {1}, |
| 145 |
+ |
annote = {Rq238 Times Cited:559 Cited References Count:14}, |
| 146 |
+ |
issn = {0021-9991}, |
| 147 |
+ |
uri = {<Go to ISI>://A1983RQ23800002}, |
| 148 |
+ |
} |
| 149 |
+ |
|
| 150 |
|
@ARTICLE{Auerbach2005, |
| 151 |
|
author = {A. Auerbach}, |
| 152 |
|
title = {Gating of acetylcholine receptor channels: Brownian motion across |
| 245 |
|
annote = {816YY Times Cited:8 Cited References Count:35}, |
| 246 |
|
issn = {0021-9606}, |
| 247 |
|
uri = {<Go to ISI>://000221146400009}, |
| 248 |
+ |
} |
| 249 |
+ |
|
| 250 |
+ |
@ARTICLE{Barojas1973, |
| 251 |
+ |
author = {J. Barojas and D. Levesque}, |
| 252 |
+ |
title = {Simulation of Diatomic Homonuclear Liquids}, |
| 253 |
+ |
journal = {Phys. Rev. A}, |
| 254 |
+ |
year = {1973}, |
| 255 |
+ |
volume = {7}, |
| 256 |
+ |
pages = {1092-1105}, |
| 257 |
|
} |
| 258 |
|
|
| 259 |
|
@ARTICLE{Barth1998, |
| 430 |
|
|
| 431 |
|
@ARTICLE{Berkov2005, |
| 432 |
|
author = {D. V. Berkov and N. L. Gorn}, |
| 402 |
– |
title = {Stochastic dynamic simulations of fast remagnetization processes: |
| 403 |
– |
recent advances and applications}, |
| 404 |
– |
journal = {Journal of Magnetism and Magnetic Materials}, |
| 405 |
– |
year = {2005}, |
| 406 |
– |
volume = {290}, |
| 407 |
– |
pages = {442-448}, |
| 408 |
– |
month = {Apr}, |
| 409 |
– |
abstract = {Numerical simulations of fast remagnetization processes using stochastic |
| 410 |
– |
dynamics are widely used to study various magnetic systems. In this |
| 411 |
– |
paper, we first address several crucial methodological problems |
| 412 |
– |
of such simulations: (i) the influence of finite-element discretization |
| 413 |
– |
on simulated dynamics, (ii) choice between Ito and Stratonovich |
| 414 |
– |
stochastic calculi by the solution of micromagnetic stochastic equations |
| 415 |
– |
of motion and (iii) non-trivial correlation properties of the random |
| 416 |
– |
(thermal) field. Next, we discuss several examples to demonstrate |
| 417 |
– |
the great potential of the Langevin dynamics for studying fast remagnetization |
| 418 |
– |
processes in technically relevant applications: we present numerical |
| 419 |
– |
analysis of equilibrium magnon spectra in patterned structures, |
| 420 |
– |
study thermal noise effects on the magnetization dynamics of nanoelements |
| 421 |
– |
in pulsed fields and show some results for a remagnetization dynamics |
| 422 |
– |
induced by a spin-polarized current. (c) 2004 Elsevier B.V. All |
| 423 |
– |
rights reserved.}, |
| 424 |
– |
annote = {Part 1 Sp. Iss. SI 922KU Times Cited:2 Cited References Count:25}, |
| 425 |
– |
issn = {0304-8853}, |
| 426 |
– |
uri = {<Go to ISI>://000228837600109}, |
| 427 |
– |
} |
| 428 |
– |
|
| 429 |
– |
@ARTICLE{Berkov2005a, |
| 430 |
– |
author = {D. V. Berkov and N. L. Gorn}, |
| 433 |
|
title = {Magnetization precession due to a spin-polarized current in a thin |
| 434 |
|
nanoelement: Numerical simulation study}, |
| 435 |
|
journal = {Physical Review B}, |
| 460 |
|
uri = {<Go to ISI>://000232228500058}, |
| 461 |
|
} |
| 462 |
|
|
| 463 |
+ |
@ARTICLE{Berkov2005a, |
| 464 |
+ |
author = {D. V. Berkov and N. L. Gorn}, |
| 465 |
+ |
title = {Stochastic dynamic simulations of fast remagnetization processes: |
| 466 |
+ |
recent advances and applications}, |
| 467 |
+ |
journal = {Journal of Magnetism and Magnetic Materials}, |
| 468 |
+ |
year = {2005}, |
| 469 |
+ |
volume = {290}, |
| 470 |
+ |
pages = {442-448}, |
| 471 |
+ |
month = {Apr}, |
| 472 |
+ |
abstract = {Numerical simulations of fast remagnetization processes using stochastic |
| 473 |
+ |
dynamics are widely used to study various magnetic systems. In this |
| 474 |
+ |
paper, we first address several crucial methodological problems |
| 475 |
+ |
of such simulations: (i) the influence of finite-element discretization |
| 476 |
+ |
on simulated dynamics, (ii) choice between Ito and Stratonovich |
| 477 |
+ |
stochastic calculi by the solution of micromagnetic stochastic equations |
| 478 |
+ |
of motion and (iii) non-trivial correlation properties of the random |
| 479 |
+ |
(thermal) field. Next, we discuss several examples to demonstrate |
| 480 |
+ |
the great potential of the Langevin dynamics for studying fast remagnetization |
| 481 |
+ |
processes in technically relevant applications: we present numerical |
| 482 |
+ |
analysis of equilibrium magnon spectra in patterned structures, |
| 483 |
+ |
study thermal noise effects on the magnetization dynamics of nanoelements |
| 484 |
+ |
in pulsed fields and show some results for a remagnetization dynamics |
| 485 |
+ |
induced by a spin-polarized current. (c) 2004 Elsevier B.V. All |
| 486 |
+ |
rights reserved.}, |
| 487 |
+ |
annote = {Part 1 Sp. Iss. SI 922KU Times Cited:2 Cited References Count:25}, |
| 488 |
+ |
issn = {0304-8853}, |
| 489 |
+ |
uri = {<Go to ISI>://000228837600109}, |
| 490 |
+ |
} |
| 491 |
+ |
|
| 492 |
|
@ARTICLE{Berkov2002, |
| 493 |
|
author = {D. V. Berkov and N. L. Gorn and P. Gornert}, |
| 494 |
|
title = {Magnetization dynamics in nanoparticle systems: Numerical simulation |
| 540 |
|
annote = {Sm173 Times Cited:143 Cited References Count:22}, |
| 541 |
|
issn = {0009-2614}, |
| 542 |
|
uri = {<Go to ISI>://A1984SM17300007}, |
| 543 |
+ |
} |
| 544 |
+ |
|
| 545 |
+ |
@ARTICLE{Budd1999, |
| 546 |
+ |
author = {C. J. Budd and G. J. Collins and W. Z. Huang and R. D. Russell}, |
| 547 |
+ |
title = {Self-similar numerical solutions of the porous-medium equation using |
| 548 |
+ |
moving mesh methods}, |
| 549 |
+ |
journal = {Philosophical Transactions of the Royal Society of London Series |
| 550 |
+ |
a-Mathematical Physical and Engineering Sciences}, |
| 551 |
+ |
year = {1999}, |
| 552 |
+ |
volume = {357}, |
| 553 |
+ |
pages = {1047-1077}, |
| 554 |
+ |
number = {1754}, |
| 555 |
+ |
month = {Apr 15}, |
| 556 |
+ |
abstract = {This paper examines a synthesis of adaptive mesh methods with the |
| 557 |
+ |
use of symmetry to study a partial differential equation. In particular, |
| 558 |
+ |
it considers methods which admit discrete self-similar solutions, |
| 559 |
+ |
examining the convergence of these to the true self-similar solution |
| 560 |
+ |
as well as their stability. Special attention is given to the nonlinear |
| 561 |
+ |
diffusion equation describing flow in a porous medium.}, |
| 562 |
+ |
annote = {199EE Times Cited:4 Cited References Count:14}, |
| 563 |
+ |
issn = {1364-503X}, |
| 564 |
+ |
uri = {<Go to ISI>://000080466800005}, |
| 565 |
|
} |
| 566 |
|
|
| 567 |
|
@ARTICLE{Camp1999, |
| 693 |
|
annote = {221EN Times Cited:14 Cited References Count:66}, |
| 694 |
|
issn = {0021-9606}, |
| 695 |
|
uri = {<Go to ISI>://000081711200038}, |
| 696 |
+ |
} |
| 697 |
+ |
|
| 698 |
+ |
@ARTICLE{Channell1990, |
| 699 |
+ |
author = {P. J. Channell and C. Scovel}, |
| 700 |
+ |
title = {Symplectic Integration of Hamiltonian-Systems}, |
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+ |
journal = {Nonlinearity}, |
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+ |
year = {1990}, |
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+ |
volume = {3}, |
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+ |
pages = {231-259}, |
| 705 |
+ |
number = {2}, |
| 706 |
+ |
month = {may}, |
| 707 |
+ |
annote = {Dk631 Times Cited:152 Cited References Count:34}, |
| 708 |
+ |
issn = {0951-7715}, |
| 709 |
+ |
uri = {<Go to ISI>://A1990DK63100001}, |
| 710 |
+ |
} |
| 711 |
+ |
|
| 712 |
+ |
@ARTICLE{Chen2003, |
| 713 |
+ |
author = {B. Chen and F. Solis}, |
| 714 |
+ |
title = {Explicit mixed finite order Runge-Kutta methods}, |
| 715 |
+ |
journal = {Applied Numerical Mathematics}, |
| 716 |
+ |
year = {2003}, |
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+ |
volume = {44}, |
| 718 |
+ |
pages = {21-30}, |
| 719 |
+ |
number = {1-2}, |
| 720 |
+ |
month = {Jan}, |
| 721 |
+ |
abstract = {We investigate the asymptotic behavior of systems of nonlinear differential |
| 722 |
+ |
equations and introduce a family of mixed methods from combinations |
| 723 |
+ |
of explicit Runge-Kutta methods. These methods have better stability |
| 724 |
+ |
behavior than traditional Runge-Kutta methods and generally extend |
| 725 |
+ |
the range of validity of the calculated solutions. These methods |
| 726 |
+ |
also give a way of determining if the numerical solutions are real |
| 727 |
+ |
or spurious. Emphasis is put on examples coming from mathematical |
| 728 |
+ |
models in ecology. (C) 2002 IMACS. Published by Elsevier Science |
| 729 |
+ |
B.V. All rights reserved.}, |
| 730 |
+ |
annote = {633ZD Times Cited:0 Cited References Count:9}, |
| 731 |
+ |
issn = {0168-9274}, |
| 732 |
+ |
uri = {<Go to ISI>://000180314200002}, |
| 733 |
|
} |
| 734 |
|
|
| 735 |
|
@ARTICLE{Cheung2004, |
| 970 |
|
annote = {Ya587 Times Cited:35 Cited References Count:32}, |
| 971 |
|
issn = {0021-9606}, |
| 972 |
|
uri = {<Go to ISI>://A1997YA58700024}, |
| 973 |
+ |
} |
| 974 |
+ |
|
| 975 |
+ |
@BOOK{Gamma1994, |
| 976 |
+ |
title = {Design Patterns: Elements of Reusable Object-Oriented Software}, |
| 977 |
+ |
publisher = {Perason Education}, |
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+ |
year = {1994}, |
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+ |
author = {E. Gamma, R. Helm, R. Johnson and J. Vlissides}, |
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+ |
address = {London}, |
| 981 |
+ |
chapter = {7}, |
| 982 |
|
} |
| 983 |
|
|
| 984 |
|
@ARTICLE{Edwards2005, |
| 1032 |
|
annote = {Fp216 Times Cited:785 Cited References Count:42}, |
| 1033 |
|
issn = {0021-9606}, |
| 1034 |
|
uri = {<Go to ISI>://A1978FP21600004}, |
| 1035 |
+ |
} |
| 1036 |
+ |
|
| 1037 |
+ |
@ARTICLE{Evans1977, |
| 1038 |
+ |
author = {D. J. Evans}, |
| 1039 |
+ |
title = {Representation of Orientation Space}, |
| 1040 |
+ |
journal = {Molecular Physics}, |
| 1041 |
+ |
year = {1977}, |
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+ |
volume = {34}, |
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+ |
pages = {317-325}, |
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+ |
number = {2}, |
| 1045 |
+ |
annote = {Ds757 Times Cited:271 Cited References Count:18}, |
| 1046 |
+ |
issn = {0026-8976}, |
| 1047 |
+ |
uri = {<Go to ISI>://A1977DS75700002}, |
| 1048 |
|
} |
| 1049 |
|
|
| 1050 |
|
@ARTICLE{Fennell2004, |
| 1111 |
|
uri = {<Go to ISI>://000180256300012}, |
| 1112 |
|
} |
| 1113 |
|
|
| 1114 |
+ |
@BOOK{Frenkel1996, |
| 1115 |
+ |
title = {Understanding Molecular Simulation : From Algorithms to Applications}, |
| 1116 |
+ |
publisher = {Academic Press}, |
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+ |
year = {1996}, |
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+ |
author = {D. Frenkel and B. Smit}, |
| 1119 |
+ |
address = {New York}, |
| 1120 |
+ |
} |
| 1121 |
+ |
|
| 1122 |
|
@ARTICLE{Gay1981, |
| 1123 |
|
author = {J. G. Gay and B. J. Berne}, |
| 1124 |
|
title = {Modification of the Overlap Potential to Mimic a Linear Site-Site |
| 1214 |
|
uri = {<Go to ISI>://000184351300022}, |
| 1215 |
|
} |
| 1216 |
|
|
| 1217 |
+ |
@ARTICLE{Greengard1994, |
| 1218 |
+ |
author = {L. Greengard}, |
| 1219 |
+ |
title = {Fast Algorithms for Classical Physics}, |
| 1220 |
+ |
journal = {Science}, |
| 1221 |
+ |
year = {1994}, |
| 1222 |
+ |
volume = {265}, |
| 1223 |
+ |
pages = {909-914}, |
| 1224 |
+ |
number = {5174}, |
| 1225 |
+ |
month = {Aug 12}, |
| 1226 |
+ |
abstract = {Some of the recently developed fast summation methods that have arisen |
| 1227 |
+ |
in scientific computing are described. These methods require an |
| 1228 |
+ |
amount of work proportional to N or N log N to evaluate all pairwise |
| 1229 |
+ |
interactions in an ensemble of N particles. Traditional methods, |
| 1230 |
+ |
by contrast, require an amount of work proportional to N-2. AS a |
| 1231 |
+ |
result, large-scale simulations can be carried out using only modest |
| 1232 |
+ |
computer resources. In combination with supercomputers, it is possible |
| 1233 |
+ |
to address questions that were previously out of reach. Problems |
| 1234 |
+ |
from diffusion, gravitation, and wave propagation are considered.}, |
| 1235 |
+ |
annote = {Pb499 Times Cited:99 Cited References Count:44}, |
| 1236 |
+ |
issn = {0036-8075}, |
| 1237 |
+ |
uri = {<Go to ISI>://A1994PB49900031}, |
| 1238 |
+ |
} |
| 1239 |
+ |
|
| 1240 |
+ |
@ARTICLE{Greengard1987, |
| 1241 |
+ |
author = {L. Greengard and V. Rokhlin}, |
| 1242 |
+ |
title = {A Fast Algorithm for Particle Simulations}, |
| 1243 |
+ |
journal = {Journal of Computational Physics}, |
| 1244 |
+ |
year = {1987}, |
| 1245 |
+ |
volume = {73}, |
| 1246 |
+ |
pages = {325-348}, |
| 1247 |
+ |
number = {2}, |
| 1248 |
+ |
month = {Dec}, |
| 1249 |
+ |
annote = {L0498 Times Cited:899 Cited References Count:7}, |
| 1250 |
+ |
issn = {0021-9991}, |
| 1251 |
+ |
uri = {<Go to ISI>://A1987L049800006}, |
| 1252 |
+ |
} |
| 1253 |
+ |
|
| 1254 |
+ |
@ARTICLE{Hairer1997, |
| 1255 |
+ |
author = {E. Hairer and C. Lubich}, |
| 1256 |
+ |
title = {The life-span of backward error analysis for numerical integrators}, |
| 1257 |
+ |
journal = {Numerische Mathematik}, |
| 1258 |
+ |
year = {1997}, |
| 1259 |
+ |
volume = {76}, |
| 1260 |
+ |
pages = {441-462}, |
| 1261 |
+ |
number = {4}, |
| 1262 |
+ |
month = {Jun}, |
| 1263 |
+ |
abstract = {Backward error analysis is a useful tool for the study of numerical |
| 1264 |
+ |
approximations to ordinary differential equations. The numerical |
| 1265 |
+ |
solution is formally interpreted as the exact solution of a perturbed |
| 1266 |
+ |
differential equation, given as a formal and usually divergent series |
| 1267 |
+ |
in powers of the step size. For a rigorous analysis, this series |
| 1268 |
+ |
has to be truncated. In this article we study the influence of this |
| 1269 |
+ |
truncation to the difference between the numerical solution and |
| 1270 |
+ |
the exact solution of the perturbed differential equation. Results |
| 1271 |
+ |
on the long-time behaviour of numerical solutions are obtained in |
| 1272 |
+ |
this way. We present applications to the numerical phase portrait |
| 1273 |
+ |
near hyperbolic equilibrium points, to asymptotically stable periodic |
| 1274 |
+ |
orbits and Hopf bifurcation, and to energy conservation and approximation |
| 1275 |
+ |
of invariant tori in Hamiltonian systems.}, |
| 1276 |
+ |
annote = {Xj488 Times Cited:50 Cited References Count:19}, |
| 1277 |
+ |
issn = {0029-599X}, |
| 1278 |
+ |
uri = {<Go to ISI>://A1997XJ48800002}, |
| 1279 |
+ |
} |
| 1280 |
+ |
|
| 1281 |
|
@ARTICLE{Hao1993, |
| 1282 |
|
author = {M. H. Hao and M. R. Pincus and S. Rackovsky and H. A. Scheraga}, |
| 1283 |
|
title = {Unfolding and Refolding of the Native Structure of Bovine Pancreatic |
| 1410 |
|
uri = {<Go to ISI>://A1992JU25100002}, |
| 1411 |
|
} |
| 1412 |
|
|
| 1413 |
+ |
@BOOK{Hockney1981, |
| 1414 |
+ |
title = {Computer Simulation Using Particles}, |
| 1415 |
+ |
publisher = {McGraw-Hill}, |
| 1416 |
+ |
year = {1981}, |
| 1417 |
+ |
author = {R.W. Hockney and J.W. Eastwood}, |
| 1418 |
+ |
address = {New York}, |
| 1419 |
+ |
} |
| 1420 |
+ |
|
| 1421 |
+ |
@ARTICLE{Hoover1985, |
| 1422 |
+ |
author = {W. G. Hoover}, |
| 1423 |
+ |
title = {Canonical Dynamics - Equilibrium Phase-Space Distributions}, |
| 1424 |
+ |
journal = {Physical Review A}, |
| 1425 |
+ |
year = {1985}, |
| 1426 |
+ |
volume = {31}, |
| 1427 |
+ |
pages = {1695-1697}, |
| 1428 |
+ |
number = {3}, |
| 1429 |
+ |
annote = {Acr30 Times Cited:1809 Cited References Count:11}, |
| 1430 |
+ |
issn = {1050-2947}, |
| 1431 |
+ |
uri = {<Go to ISI>://A1985ACR3000056}, |
| 1432 |
+ |
} |
| 1433 |
+ |
|
| 1434 |
|
@ARTICLE{Huh2004, |
| 1435 |
|
author = {Y. Huh and N. M. Cann}, |
| 1436 |
|
title = {Discrimination in isotropic, nematic, and smectic phases of chiral |
| 1497 |
|
uri = {<Go to ISI>://000166676100020}, |
| 1498 |
|
} |
| 1499 |
|
|
| 1500 |
< |
@ARTICLE{Gray2003, |
| 1501 |
< |
author = {J.~J Gray,S. Moughon, C. Wang }, |
| 1502 |
< |
title = {Protein-protein docking with simultaneous optimization of rigid-body |
| 1503 |
< |
displacement and side-chain conformations}, |
| 1504 |
< |
journal = {jmb}, |
| 1505 |
< |
year = {2003}, |
| 1506 |
< |
volume = {331}, |
| 1302 |
< |
pages = {281-299}, |
| 1500 |
> |
@ARTICLE{Torre1977, |
| 1501 |
> |
author = {Jose Garcia De La Torre, V.A. Bloomfield}, |
| 1502 |
> |
title = {Hydrodynamic properties of macromolecular complexes. I. Translation}, |
| 1503 |
> |
journal = {Biopolymers}, |
| 1504 |
> |
year = {1977}, |
| 1505 |
> |
volume = {16}, |
| 1506 |
> |
pages = {1747-1763}, |
| 1507 |
|
} |
| 1508 |
|
|
| 1509 |
+ |
@ARTICLE{Kane2000, |
| 1510 |
+ |
author = {C. Kane and J. E. Marsden and M. Ortiz and M. West}, |
| 1511 |
+ |
title = {Variational integrators and the Newmark algorithm for conservative |
| 1512 |
+ |
and dissipative mechanical systems}, |
| 1513 |
+ |
journal = {International Journal for Numerical Methods in Engineering}, |
| 1514 |
+ |
year = {2000}, |
| 1515 |
+ |
volume = {49}, |
| 1516 |
+ |
pages = {1295-1325}, |
| 1517 |
+ |
number = {10}, |
| 1518 |
+ |
month = {Dec 10}, |
| 1519 |
+ |
abstract = {The purpose of this work is twofold. First, we demonstrate analytically |
| 1520 |
+ |
that the classical Newmark family as well as related integration |
| 1521 |
+ |
algorithms are variational in the sense of the Veselov formulation |
| 1522 |
+ |
of discrete mechanics. Such variational algorithms are well known |
| 1523 |
+ |
to be symplectic and momentum preserving and to often have excellent |
| 1524 |
+ |
global energy behaviour. This analytical result is verified through |
| 1525 |
+ |
numerical examples and is believed to be one of the primary reasons |
| 1526 |
+ |
that this class of algorithms performs so well. Second, we develop |
| 1527 |
+ |
algorithms for mechanical systems with forcing, and in particular, |
| 1528 |
+ |
for dissipative systems. In this case, we develop integrators that |
| 1529 |
+ |
are based on a discretization of the Lagrange d'Alembert principle |
| 1530 |
+ |
as well as on a variational formulation of dissipation. It is demonstrated |
| 1531 |
+ |
that these types of structured integrators have good numerical behaviour |
| 1532 |
+ |
in terms of obtaining the correct amounts by which the energy changes |
| 1533 |
+ |
over the integration run. Copyright (C) 2000 John Wiley & Sons, |
| 1534 |
+ |
Ltd.}, |
| 1535 |
+ |
annote = {373CJ Times Cited:30 Cited References Count:41}, |
| 1536 |
+ |
issn = {0029-5981}, |
| 1537 |
+ |
uri = {<Go to ISI>://000165270600004}, |
| 1538 |
+ |
} |
| 1539 |
+ |
|
| 1540 |
|
@ARTICLE{Klimov1997, |
| 1541 |
|
author = {D. K. Klimov and D. Thirumalai}, |
| 1542 |
|
title = {Viscosity dependence of the folding rates of proteins}, |
| 1560 |
|
annote = {Xk293 Times Cited:77 Cited References Count:17}, |
| 1561 |
|
issn = {0031-9007}, |
| 1562 |
|
uri = {<Go to ISI>://A1997XK29300035}, |
| 1563 |
+ |
} |
| 1564 |
+ |
|
| 1565 |
+ |
@ARTICLE{Kol1997, |
| 1566 |
+ |
author = {A. Kol and B. B. Laird and B. J. Leimkuhler}, |
| 1567 |
+ |
title = {A symplectic method for rigid-body molecular simulation}, |
| 1568 |
+ |
journal = {Journal of Chemical Physics}, |
| 1569 |
+ |
year = {1997}, |
| 1570 |
+ |
volume = {107}, |
| 1571 |
+ |
pages = {2580-2588}, |
| 1572 |
+ |
number = {7}, |
| 1573 |
+ |
month = {Aug 15}, |
| 1574 |
+ |
abstract = {Rigid-body molecular dynamics simulations typically are performed |
| 1575 |
+ |
in a quaternion representation. The nonseparable form of the Hamiltonian |
| 1576 |
+ |
in quaternions prevents the use of a standard leapfrog (Verlet) |
| 1577 |
+ |
integrator, so nonsymplectic Runge-Kutta, multistep, or extrapolation |
| 1578 |
+ |
methods are generally used, This is unfortunate since symplectic |
| 1579 |
+ |
methods like Verlet exhibit superior energy conservation in long-time |
| 1580 |
+ |
integrations. In this article, we describe an alternative method, |
| 1581 |
+ |
which we call RSHAKE (for rotation-SHAKE), in which the entire rotation |
| 1582 |
+ |
matrix is evolved (using the scheme of McLachlan and Scovel [J. |
| 1583 |
+ |
Nonlin. Sci, 16 233 (1995)]) in tandem with the particle positions. |
| 1584 |
+ |
We employ a fast approximate Newton solver to preserve the orthogonality |
| 1585 |
+ |
of the rotation matrix. We test our method on a system of soft-sphere |
| 1586 |
+ |
dipoles and compare with quaternion evolution using a 4th-order |
| 1587 |
+ |
predictor-corrector integrator, Although the short-time error of |
| 1588 |
+ |
the quaternion algorithm is smaller for fixed time step than that |
| 1589 |
+ |
for RSHAKE, the quaternion scheme exhibits an energy drift which |
| 1590 |
+ |
is not observed in simulations with RSHAKE, hence a fixed energy |
| 1591 |
+ |
tolerance can be achieved by using a larger time step, The superiority |
| 1592 |
+ |
of RSHAKE increases with system size. (C) 1997 American Institute |
| 1593 |
+ |
of Physics.}, |
| 1594 |
+ |
annote = {Xq332 Times Cited:11 Cited References Count:18}, |
| 1595 |
+ |
issn = {0021-9606}, |
| 1596 |
+ |
uri = {<Go to ISI>://A1997XQ33200046}, |
| 1597 |
|
} |
| 1598 |
|
|
| 1599 |
|
@ARTICLE{Lansac2001, |
| 1670 |
|
edition = {2nd}, |
| 1671 |
|
} |
| 1672 |
|
|
| 1673 |
+ |
@ARTICLE{Leimkuhler1999, |
| 1674 |
+ |
author = {B. Leimkuhler}, |
| 1675 |
+ |
title = {Reversible adaptive regularization: perturbed Kepler motion and classical |
| 1676 |
+ |
atomic trajectories}, |
| 1677 |
+ |
journal = {Philosophical Transactions of the Royal Society of London Series |
| 1678 |
+ |
a-Mathematical Physical and Engineering Sciences}, |
| 1679 |
+ |
year = {1999}, |
| 1680 |
+ |
volume = {357}, |
| 1681 |
+ |
pages = {1101-1133}, |
| 1682 |
+ |
number = {1754}, |
| 1683 |
+ |
month = {Apr 15}, |
| 1684 |
+ |
abstract = {Reversible and adaptive integration methods based on Kustaanheimo-Stiefel |
| 1685 |
+ |
regularization and modified Sundman transformations are applied |
| 1686 |
+ |
to simulate general perturbed Kepler motion and to compute classical |
| 1687 |
+ |
trajectories of atomic systems (e.g. Rydberg atoms). The new family |
| 1688 |
+ |
of reversible adaptive regularization methods also conserves angular |
| 1689 |
+ |
momentum and exhibits superior energy conservation and numerical |
| 1690 |
+ |
stability in long-time integrations. The schemes are appropriate |
| 1691 |
+ |
for scattering, for astronomical calculations of escape time and |
| 1692 |
+ |
long-term stability, and for classical and semiclassical studies |
| 1693 |
+ |
of atomic dynamics. The components of an algorithm for trajectory |
| 1694 |
+ |
calculations are described. Numerical experiments illustrate the |
| 1695 |
+ |
effectiveness of the reversible approach.}, |
| 1696 |
+ |
annote = {199EE Times Cited:11 Cited References Count:48}, |
| 1697 |
+ |
issn = {1364-503X}, |
| 1698 |
+ |
uri = {<Go to ISI>://000080466800007}, |
| 1699 |
+ |
} |
| 1700 |
+ |
|
| 1701 |
|
@BOOK{Leimkuhler2004, |
| 1702 |
|
title = {Simulating Hamiltonian Dynamics}, |
| 1703 |
|
publisher = {Cambridge University Press}, |
| 1774 |
|
uri = {<Go to ISI>://000234826102043}, |
| 1775 |
|
} |
| 1776 |
|
|
| 1777 |
+ |
@ARTICLE{Luty1994, |
| 1778 |
+ |
author = {B. A. Luty and M. E. Davis and I. G. Tironi and W. F. Vangunsteren}, |
| 1779 |
+ |
title = {A Comparison of Particle-Particle, Particle-Mesh and Ewald Methods |
| 1780 |
+ |
for Calculating Electrostatic Interactions in Periodic Molecular-Systems}, |
| 1781 |
+ |
journal = {Molecular Simulation}, |
| 1782 |
+ |
year = {1994}, |
| 1783 |
+ |
volume = {14}, |
| 1784 |
+ |
pages = {11-20}, |
| 1785 |
+ |
number = {1}, |
| 1786 |
+ |
abstract = {We compare the Particle-Particle Particle-Mesh (PPPM) and Ewald methods |
| 1787 |
+ |
for calculating electrostatic interactions in periodic molecular |
| 1788 |
+ |
systems. A brief comparison of the theories shows that the methods |
| 1789 |
+ |
are very similar differing mainly in the technique which is used |
| 1790 |
+ |
to perform the ''k-space'' or mesh calculation. Because the PPPM |
| 1791 |
+ |
utilizes the highly efficient numerical Fast Fourier Transform (FFT) |
| 1792 |
+ |
method it requires significantly less computational effort than |
| 1793 |
+ |
the Ewald method and scale's almost linearly with system size.}, |
| 1794 |
+ |
annote = {Qf464 Times Cited:50 Cited References Count:20}, |
| 1795 |
+ |
issn = {0892-7022}, |
| 1796 |
+ |
uri = {<Go to ISI>://A1994QF46400002}, |
| 1797 |
+ |
} |
| 1798 |
+ |
|
| 1799 |
|
@BOOK{Marion1990, |
| 1800 |
|
title = {Classical Dynamics of Particles and Systems}, |
| 1801 |
|
publisher = {Academic Press}, |
| 1805 |
|
edition = {2rd}, |
| 1806 |
|
} |
| 1807 |
|
|
| 1808 |
+ |
@ARTICLE{Marrink1994, |
| 1809 |
+ |
author = {S. J. Marrink and H. J. C. Berendsen}, |
| 1810 |
+ |
title = {Simulation of Water Transport through a Lipid-Membrane}, |
| 1811 |
+ |
journal = {Journal of Physical Chemistry}, |
| 1812 |
+ |
year = {1994}, |
| 1813 |
+ |
volume = {98}, |
| 1814 |
+ |
pages = {4155-4168}, |
| 1815 |
+ |
number = {15}, |
| 1816 |
+ |
month = {Apr 14}, |
| 1817 |
+ |
abstract = {To obtain insight in the process of water permeation through a lipid |
| 1818 |
+ |
membrane, we performed molecular dynamics simulations on a phospholipid |
| 1819 |
+ |
(DPPC)/water system with atomic detail. Since the actual process |
| 1820 |
+ |
of permeation is too slow to be studied directly, we deduced the |
| 1821 |
+ |
permeation rate indirectly via computation of the free energy and |
| 1822 |
+ |
diffusion rate profiles of a water molecule across the bilayer. |
| 1823 |
+ |
We conclude that the permeation of water through a lipid membrane |
| 1824 |
+ |
cannot be described adequately by a simple homogeneous solubility-diffusion |
| 1825 |
+ |
model. Both the excess free energy and the diffusion rate strongly |
| 1826 |
+ |
depend on the position in the membrane, as a result from the inhomogeneous |
| 1827 |
+ |
nature of the membrane. The calculated excess free energy profile |
| 1828 |
+ |
has a shallow slope and a maximum height of 26 kJ/mol. The diffusion |
| 1829 |
+ |
rate is highest in the middle of the membrane where the lipid density |
| 1830 |
+ |
is low. In the interfacial region almost all water molecules are |
| 1831 |
+ |
bound by the lipid headgroups, and the diffusion turns out to be |
| 1832 |
+ |
1 order of magnitude smaller. The total transport process is essentially |
| 1833 |
+ |
determined by the free energy barrier. The rate-limiting step is |
| 1834 |
+ |
the permeation through the dense part of the lipid tails, where |
| 1835 |
+ |
the resistance is highest. We found a permeation rate of 7(+/-3) |
| 1836 |
+ |
x 10(-2) cm/s at 350 K, comparable to experimental values for DPPC |
| 1837 |
+ |
membranes, if corrected for the temperature of the simulation. Taking |
| 1838 |
+ |
the inhomogeneity of the membrane into account, we define a new |
| 1839 |
+ |
''four-region'' model which seems to be more realistic than the |
| 1840 |
+ |
''two-phase'' solubility-diffusion model.}, |
| 1841 |
+ |
annote = {Ng219 Times Cited:187 Cited References Count:25}, |
| 1842 |
+ |
issn = {0022-3654}, |
| 1843 |
+ |
uri = {<Go to ISI>://A1994NG21900040}, |
| 1844 |
+ |
} |
| 1845 |
+ |
|
| 1846 |
+ |
@ARTICLE{Marsden1998, |
| 1847 |
+ |
author = {J. E. Marsden and G. W. Patrick and S. Shkoller}, |
| 1848 |
+ |
title = {Multisymplectic geometry, variational integrators, and nonlinear |
| 1849 |
+ |
PDEs}, |
| 1850 |
+ |
journal = {Communications in Mathematical Physics}, |
| 1851 |
+ |
year = {1998}, |
| 1852 |
+ |
volume = {199}, |
| 1853 |
+ |
pages = {351-395}, |
| 1854 |
+ |
number = {2}, |
| 1855 |
+ |
month = {Dec}, |
| 1856 |
+ |
abstract = {This paper presents a geometric-variational approach to continuous |
| 1857 |
+ |
and discrete mechanics and field theories. Using multisymplectic |
| 1858 |
+ |
geometry, we show that the existence of the fundamental geometric |
| 1859 |
+ |
structures as well as their preservation along solutions can be |
| 1860 |
+ |
obtained directly from the variational principle. In particular, |
| 1861 |
+ |
we prove that a unique multisymplectic structure is obtained by |
| 1862 |
+ |
taking the derivative of an action function, and use this structure |
| 1863 |
+ |
to prove covariant generalizations of conservation of symplecticity |
| 1864 |
+ |
and Noether's theorem. Natural discretization schemes for PDEs, |
| 1865 |
+ |
which have these important preservation properties, then follow |
| 1866 |
+ |
by choosing a discrete action functional. In the case of mechanics, |
| 1867 |
+ |
we recover the variational symplectic integrators of Veselov type, |
| 1868 |
+ |
while for PDEs we obtain covariant spacetime integrators which conserve |
| 1869 |
+ |
the corresponding discrete multisymplectic form as well as the discrete |
| 1870 |
+ |
momentum mappings corresponding to symmetries. We show that the |
| 1871 |
+ |
usual notion of symplecticity along an infinite-dimensional space |
| 1872 |
+ |
of fields can be naturally obtained by making a spacetime split. |
| 1873 |
+ |
All of the aspects of our method are demonstrated with a nonlinear |
| 1874 |
+ |
sine-Gordon equation, including computational results and a comparison |
| 1875 |
+ |
with other discretization schemes.}, |
| 1876 |
+ |
annote = {154RH Times Cited:88 Cited References Count:36}, |
| 1877 |
+ |
issn = {0010-3616}, |
| 1878 |
+ |
uri = {<Go to ISI>://000077902200006}, |
| 1879 |
+ |
} |
| 1880 |
+ |
|
| 1881 |
|
@ARTICLE{McLachlan1993, |
| 1882 |
|
author = {R.~I McLachlan}, |
| 1883 |
|
title = {Explicit Lie-Poisson integration and the Euler equations}, |
| 1887 |
|
pages = {3043-3046}, |
| 1888 |
|
} |
| 1889 |
|
|
| 1890 |
+ |
@ARTICLE{McLachlan1998, |
| 1891 |
+ |
author = {R. I. McLachlan and G. R. W. Quispel}, |
| 1892 |
+ |
title = {Generating functions for dynamical systems with symmetries, integrals, |
| 1893 |
+ |
and differential invariants}, |
| 1894 |
+ |
journal = {Physica D}, |
| 1895 |
+ |
year = {1998}, |
| 1896 |
+ |
volume = {112}, |
| 1897 |
+ |
pages = {298-309}, |
| 1898 |
+ |
number = {1-2}, |
| 1899 |
+ |
month = {Jan 15}, |
| 1900 |
+ |
abstract = {We give a survey and some new examples of generating functions for |
| 1901 |
+ |
systems with symplectic structure, systems with a first integral, |
| 1902 |
+ |
systems that preserve volume, and systems with symmetries and/or |
| 1903 |
+ |
time-reversing symmetries. Both ODEs and maps are treated, and we |
| 1904 |
+ |
discuss how generating functions may be used in the structure-preserving |
| 1905 |
+ |
numerical integration of ODEs with the above properties.}, |
| 1906 |
+ |
annote = {Yt049 Times Cited:7 Cited References Count:26}, |
| 1907 |
+ |
issn = {0167-2789}, |
| 1908 |
+ |
uri = {<Go to ISI>://000071558900021}, |
| 1909 |
+ |
} |
| 1910 |
+ |
|
| 1911 |
+ |
@ARTICLE{McLachlan1998a, |
| 1912 |
+ |
author = {R. I. McLachlan and G. R. W. Quispel and G. S. Turner}, |
| 1913 |
+ |
title = {Numerical integrators that preserve symmetries and reversing symmetries}, |
| 1914 |
+ |
journal = {Siam Journal on Numerical Analysis}, |
| 1915 |
+ |
year = {1998}, |
| 1916 |
+ |
volume = {35}, |
| 1917 |
+ |
pages = {586-599}, |
| 1918 |
+ |
number = {2}, |
| 1919 |
+ |
month = {Apr}, |
| 1920 |
+ |
abstract = {We consider properties of flows, the relationships between them, and |
| 1921 |
+ |
whether numerical integrators can be made to preserve these properties. |
| 1922 |
+ |
This is done in the context of automorphisms and antiautomorphisms |
| 1923 |
+ |
of a certain group generated by maps associated to vector fields. |
| 1924 |
+ |
This new framework unifies several known constructions. We also |
| 1925 |
+ |
use the concept of #covariance# of a numerical method with respect |
| 1926 |
+ |
to a group of coordinate transformations. The main application is |
| 1927 |
+ |
to explore the relationship between spatial symmetries, reversing |
| 1928 |
+ |
symmetries, and time symmetry of flows and numerical integrators.}, |
| 1929 |
+ |
annote = {Zc449 Times Cited:14 Cited References Count:33}, |
| 1930 |
+ |
issn = {0036-1429}, |
| 1931 |
+ |
uri = {<Go to ISI>://000072580500010}, |
| 1932 |
+ |
} |
| 1933 |
+ |
|
| 1934 |
|
@ARTICLE{McLachlan2005, |
| 1935 |
|
author = {R. I. McLachlan and A. Zanna}, |
| 1936 |
|
title = {The discrete Moser-Veselov algorithm for the free rigid body, revisited}, |
| 1958 |
|
uri = {<Go to ISI>://000228011900003}, |
| 1959 |
|
} |
| 1960 |
|
|
| 1961 |
+ |
@ARTICLE{Melchionna1993, |
| 1962 |
+ |
author = {S. Melchionna and G. Ciccotti and B. L. Holian}, |
| 1963 |
+ |
title = {Hoover Npt Dynamics for Systems Varying in Shape and Size}, |
| 1964 |
+ |
journal = {Molecular Physics}, |
| 1965 |
+ |
year = {1993}, |
| 1966 |
+ |
volume = {78}, |
| 1967 |
+ |
pages = {533-544}, |
| 1968 |
+ |
number = {3}, |
| 1969 |
+ |
month = {Feb 20}, |
| 1970 |
+ |
abstract = {In this paper we write down equations of motion (following the approach |
| 1971 |
+ |
pioneered by Hoover) for an exact isothermal-isobaric molecular |
| 1972 |
+ |
dynamics simulation, and we extend them to multiple thermostating |
| 1973 |
+ |
rates, to a shape-varying cell and to molecular systems, coherently |
| 1974 |
+ |
with the previous 'extended system method'. An integration scheme |
| 1975 |
+ |
is proposed together with a numerical illustration of the method.}, |
| 1976 |
+ |
annote = {Kq355 Times Cited:172 Cited References Count:17}, |
| 1977 |
+ |
issn = {0026-8976}, |
| 1978 |
+ |
uri = {<Go to ISI>://A1993KQ35500002}, |
| 1979 |
+ |
} |
| 1980 |
+ |
|
| 1981 |
|
@ARTICLE{Memmer2002, |
| 1982 |
|
author = {R. Memmer}, |
| 1983 |
|
title = {Liquid crystal phases of achiral banana-shaped molecules: a computer |
| 2168 |
|
annote = {491UW Times Cited:48 Cited References Count:25}, |
| 2169 |
|
issn = {0021-9606}, |
| 2170 |
|
uri = {<Go to ISI>://000172129300049}, |
| 2171 |
+ |
} |
| 2172 |
+ |
|
| 2173 |
+ |
@BOOK{Olver1986, |
| 2174 |
+ |
title = {Applications of Lie groups to differential equatitons}, |
| 2175 |
+ |
publisher = {Springer}, |
| 2176 |
+ |
year = {1986}, |
| 2177 |
+ |
author = {P.J. Olver}, |
| 2178 |
+ |
address = {New York}, |
| 2179 |
+ |
} |
| 2180 |
+ |
|
| 2181 |
+ |
@ARTICLE{Omelyan1998, |
| 2182 |
+ |
author = {I. P. Omelyan}, |
| 2183 |
+ |
title = {On the numerical integration of motion for rigid polyatomics: The |
| 2184 |
+ |
modified quaternion approach}, |
| 2185 |
+ |
journal = {Computers in Physics}, |
| 2186 |
+ |
year = {1998}, |
| 2187 |
+ |
volume = {12}, |
| 2188 |
+ |
pages = {97-103}, |
| 2189 |
+ |
number = {1}, |
| 2190 |
+ |
month = {Jan-Feb}, |
| 2191 |
+ |
abstract = {A revised version of the quaternion approach for numerical integration |
| 2192 |
+ |
of the equations of motion for rigid polyatomic molecules is proposed. |
| 2193 |
+ |
The modified approach is based on a formulation of the quaternion |
| 2194 |
+ |
dynamics with constraints. This allows one to resolve the rigidity |
| 2195 |
+ |
problem rigorously using constraint forces. It is shown that the |
| 2196 |
+ |
procedure for preservation of molecular rigidity can be realized |
| 2197 |
+ |
particularly simply within the Verlet algorithm in velocity form. |
| 2198 |
+ |
We demonstrate that the method presented leads to an improved numerical |
| 2199 |
+ |
stability with respect to the usual quaternion rescaling scheme |
| 2200 |
+ |
and it is roughly as good as the cumbersome atomic-constraint technique. |
| 2201 |
+ |
(C) 1998 American Institute of Physics.}, |
| 2202 |
+ |
annote = {Yx279 Times Cited:12 Cited References Count:28}, |
| 2203 |
+ |
issn = {0894-1866}, |
| 2204 |
+ |
uri = {<Go to ISI>://000072024300025}, |
| 2205 |
|
} |
| 2206 |
|
|
| 2207 |
+ |
@ARTICLE{Omelyan1998a, |
| 2208 |
+ |
author = {I. P. Omelyan}, |
| 2209 |
+ |
title = {Algorithm for numerical integration of the rigid-body equations of |
| 2210 |
+ |
motion}, |
| 2211 |
+ |
journal = {Physical Review E}, |
| 2212 |
+ |
year = {1998}, |
| 2213 |
+ |
volume = {58}, |
| 2214 |
+ |
pages = {1169-1172}, |
| 2215 |
+ |
number = {1}, |
| 2216 |
+ |
month = {Jul}, |
| 2217 |
+ |
abstract = {An algorithm for numerical integration of the rigid-body equations |
| 2218 |
+ |
of motion is proposed. The algorithm uses the leapfrog scheme and |
| 2219 |
+ |
the quantities involved are angular velocities and orientational |
| 2220 |
+ |
variables that can be expressed in terms of either principal axes |
| 2221 |
+ |
or quaternions. Due to specific features of the algorithm, orthonormality |
| 2222 |
+ |
and unit norms of the orientational variables are integrals of motion, |
| 2223 |
+ |
despite an approximate character of the produced trajectories. It |
| 2224 |
+ |
is shown that the method presented appears to be the most efficient |
| 2225 |
+ |
among all such algorithms known.}, |
| 2226 |
+ |
annote = {101XL Times Cited:8 Cited References Count:22}, |
| 2227 |
+ |
issn = {1063-651X}, |
| 2228 |
+ |
uri = {<Go to ISI>://000074893400151}, |
| 2229 |
+ |
} |
| 2230 |
+ |
|
| 2231 |
|
@ARTICLE{Orlandi2006, |
| 2232 |
|
author = {S. Orlandi and R. Berardi and J. Steltzer and C. Zannoni}, |
| 2233 |
|
title = {A Monte Carlo study of the mesophases formed by polar bent-shaped |
| 2251 |
|
annote = {028CP Times Cited:0 Cited References Count:42}, |
| 2252 |
|
issn = {0021-9606}, |
| 2253 |
|
uri = {<Go to ISI>://000236464000072}, |
| 2254 |
+ |
} |
| 2255 |
+ |
|
| 2256 |
+ |
@ARTICLE{Owren1992, |
| 2257 |
+ |
author = {B. Owren and M. Zennaro}, |
| 2258 |
+ |
title = {Derivation of Efficient, Continuous, Explicit Runge-Kutta Methods}, |
| 2259 |
+ |
journal = {Siam Journal on Scientific and Statistical Computing}, |
| 2260 |
+ |
year = {1992}, |
| 2261 |
+ |
volume = {13}, |
| 2262 |
+ |
pages = {1488-1501}, |
| 2263 |
+ |
number = {6}, |
| 2264 |
+ |
month = {Nov}, |
| 2265 |
+ |
abstract = {Continuous, explicit Runge-Kutta methods with the minimal number of |
| 2266 |
+ |
stages are considered. These methods are continuously differentiable |
| 2267 |
+ |
if and only if one of the stages is the FSAL evaluation. A characterization |
| 2268 |
+ |
of a subclass of these methods is developed for orders 3, 4, and |
| 2269 |
+ |
5. It is shown how the free parameters of these methods can be used |
| 2270 |
+ |
either to minimize the continuous truncation error coefficients |
| 2271 |
+ |
or to maximize the stability region. As a representative for these |
| 2272 |
+ |
methods the fifth-order method with minimized error coefficients |
| 2273 |
+ |
is chosen, supplied with an error estimation method, and analysed |
| 2274 |
+ |
by using the DETEST software. The results are compared with a similar |
| 2275 |
+ |
implementation of the Dormand-Prince 5(4) pair with interpolant, |
| 2276 |
+ |
showing a significant advantage in the new method for the chosen |
| 2277 |
+ |
problems.}, |
| 2278 |
+ |
annote = {Ju936 Times Cited:25 Cited References Count:20}, |
| 2279 |
+ |
issn = {0196-5204}, |
| 2280 |
+ |
uri = {<Go to ISI>://A1992JU93600013}, |
| 2281 |
|
} |
| 2282 |
|
|
| 2283 |
|
@ARTICLE{Palacios1998, |
| 2367 |
|
uri = {<Go to ISI>://A1985AKB9300008}, |
| 2368 |
|
} |
| 2369 |
|
|
| 2370 |
+ |
@ARTICLE{Rotne1969, |
| 2371 |
+ |
author = {F. Perrin}, |
| 2372 |
+ |
title = {Variational treatment of hydrodynamic interaction in polymers}, |
| 2373 |
+ |
journal = {J. Chem. Phys.}, |
| 2374 |
+ |
year = {1969}, |
| 2375 |
+ |
volume = {50}, |
| 2376 |
+ |
pages = {4831¨C4837}, |
| 2377 |
+ |
} |
| 2378 |
+ |
|
| 2379 |
+ |
@ARTICLE{Perrin1936, |
| 2380 |
+ |
author = {F. Perrin}, |
| 2381 |
+ |
title = {Mouvement brownien d'un ellipsoid(II). Rotation libre et depolarisation |
| 2382 |
+ |
des fluorescences. Translation et diffusion de moleculese ellipsoidales}, |
| 2383 |
+ |
journal = {J. Phys. Radium}, |
| 2384 |
+ |
year = {1936}, |
| 2385 |
+ |
volume = {7}, |
| 2386 |
+ |
pages = {1-11}, |
| 2387 |
+ |
} |
| 2388 |
+ |
|
| 2389 |
+ |
@ARTICLE{Perrin1934, |
| 2390 |
+ |
author = {F. Perrin}, |
| 2391 |
+ |
title = {Mouvement brownien d'un ellipsoid(I). Dispersion dielectrique pour |
| 2392 |
+ |
des molecules ellipsoidales}, |
| 2393 |
+ |
journal = {J. Phys. Radium}, |
| 2394 |
+ |
year = {1934}, |
| 2395 |
+ |
volume = {5}, |
| 2396 |
+ |
pages = {497-511}, |
| 2397 |
+ |
} |
| 2398 |
+ |
|
| 2399 |
|
@ARTICLE{Petrache1998, |
| 2400 |
|
author = {H. I. Petrache and S. Tristram-Nagle and J. F. Nagle}, |
| 2401 |
|
title = {Fluid phase structure of EPC and DMPC bilayers}, |
| 2500 |
|
uri = {<Go to ISI>://000235990500001}, |
| 2501 |
|
} |
| 2502 |
|
|
| 2503 |
+ |
@ARTICLE{Reich1999, |
| 2504 |
+ |
author = {S. Reich}, |
| 2505 |
+ |
title = {Backward error analysis for numerical integrators}, |
| 2506 |
+ |
journal = {Siam Journal on Numerical Analysis}, |
| 2507 |
+ |
year = {1999}, |
| 2508 |
+ |
volume = {36}, |
| 2509 |
+ |
pages = {1549-1570}, |
| 2510 |
+ |
number = {5}, |
| 2511 |
+ |
month = {Sep 8}, |
| 2512 |
+ |
abstract = {Backward error analysis has become an important tool for understanding |
| 2513 |
+ |
the long time behavior of numerical integration methods. This is |
| 2514 |
+ |
true in particular for the integration of Hamiltonian systems where |
| 2515 |
+ |
backward error analysis can be used to show that a symplectic method |
| 2516 |
+ |
will conserve energy over exponentially long periods of time. Such |
| 2517 |
+ |
results are typically based on two aspects of backward error analysis: |
| 2518 |
+ |
(i) It can be shown that the modified vector fields have some qualitative |
| 2519 |
+ |
properties which they share with the given problem and (ii) an estimate |
| 2520 |
+ |
is given for the difference between the best interpolating vector |
| 2521 |
+ |
field and the numerical method. These aspects have been investigated |
| 2522 |
+ |
recently, for example, by Benettin and Giorgilli in [J. Statist. |
| 2523 |
+ |
Phys., 74 (1994), pp. 1117-1143], by Hairer in [Ann. Numer. Math., |
| 2524 |
+ |
1 (1994), pp. 107-132], and by Hairer and Lubich in [Numer. Math., |
| 2525 |
+ |
76 (1997), pp. 441-462]. In this paper we aim at providing a unifying |
| 2526 |
+ |
framework and a simplification of the existing results and corresponding |
| 2527 |
+ |
proofs. Our approach to backward error analysis is based on a simple |
| 2528 |
+ |
recursive definition of the modified vector fields that does not |
| 2529 |
+ |
require explicit Taylor series expansion of the numerical method |
| 2530 |
+ |
and the corresponding flow maps as in the above-cited works. As |
| 2531 |
+ |
an application we discuss the long time integration of chaotic Hamiltonian |
| 2532 |
+ |
systems and the approximation of time averages along numerically |
| 2533 |
+ |
computed trajectories.}, |
| 2534 |
+ |
annote = {237HV Times Cited:43 Cited References Count:41}, |
| 2535 |
+ |
issn = {0036-1429}, |
| 2536 |
+ |
uri = {<Go to ISI>://000082650600010}, |
| 2537 |
+ |
} |
| 2538 |
+ |
|
| 2539 |
|
@ARTICLE{Ros2005, |
| 2540 |
|
author = {M. B. Ros and J. L. Serrano and M. R. {de la Fuente} and C. L. Folcia}, |
| 2541 |
|
title = {Banana-shaped liquid crystals: a new field to explore}, |
| 2557 |
|
uri = {<Go to ISI>://000233775500001}, |
| 2558 |
|
} |
| 2559 |
|
|
| 2560 |
+ |
@ARTICLE{Roux1991, |
| 2561 |
+ |
author = {B. Roux and M. Karplus}, |
| 2562 |
+ |
title = {Ion-Transport in a Gramicidin-Like Channel - Dynamics and Mobility}, |
| 2563 |
+ |
journal = {Journal of Physical Chemistry}, |
| 2564 |
+ |
year = {1991}, |
| 2565 |
+ |
volume = {95}, |
| 2566 |
+ |
pages = {4856-4868}, |
| 2567 |
+ |
number = {12}, |
| 2568 |
+ |
month = {Jun 13}, |
| 2569 |
+ |
abstract = {The mobility of water, Na+. and K+ has been calculated inside a periodic |
| 2570 |
+ |
poly-(L,D)-alanine beta-helix, a model for the interior of the gramicidin |
| 2571 |
+ |
channel. Because of the different dynamical regimes for the three |
| 2572 |
+ |
species (high barrier for Na+, low barrier for K+, almost free diffusion |
| 2573 |
+ |
for water), different methods are used to calculate the mobilities. |
| 2574 |
+ |
By use of activated dynamics and a potential of mean force determined |
| 2575 |
+ |
previously (Roux, B.; Karplus, M. Biophys. J. 1991, 59, 961), the |
| 2576 |
+ |
barrier crossing rate of Na+ ion is determined. The motion of Na+ |
| 2577 |
+ |
at the transition state is controlled by local interactions and |
| 2578 |
+ |
collisions with the neighboring carbonyls and the two nearest water |
| 2579 |
+ |
molecules. There are significant deviations from transition-state |
| 2580 |
+ |
theory; the transmission coefficient is equal to 0.11. The water |
| 2581 |
+ |
and K+ motions are found to be well described by a diffusive model; |
| 2582 |
+ |
the motion of K+ appears to be controlled by the diffusion of water. |
| 2583 |
+ |
The time-dependent friction functions of Na+ and K+ ions in the |
| 2584 |
+ |
periodic beta-helix are calculated and analyzed by using a generalized |
| 2585 |
+ |
Langevin equation approach. Both Na+ and K+ suffer many rapid collisions, |
| 2586 |
+ |
and their dynamics is overdamped and noninertial. Thus, the selectivity |
| 2587 |
+ |
sequence of ions in the beta-helix is not influenced strongly by |
| 2588 |
+ |
their masses.}, |
| 2589 |
+ |
annote = {Fr756 Times Cited:97 Cited References Count:65}, |
| 2590 |
+ |
issn = {0022-3654}, |
| 2591 |
+ |
uri = {<Go to ISI>://A1991FR75600049}, |
| 2592 |
+ |
} |
| 2593 |
+ |
|
| 2594 |
|
@ARTICLE{Roy2005, |
| 2595 |
|
author = {A. Roy and N. V. Madhusudana}, |
| 2596 |
|
title = {A frustrated packing model for the B-6-B-1-SmAP(A) sequence of phases |
| 2617 |
|
uri = {<Go to ISI>://000233363300002}, |
| 2618 |
|
} |
| 2619 |
|
|
| 2620 |
+ |
@ARTICLE{Ryckaert1977, |
| 2621 |
+ |
author = {J. P. Ryckaert and G. Ciccotti and H. J. C. Berendsen}, |
| 2622 |
+ |
title = {Numerical-Integration of Cartesian Equations of Motion of a System |
| 2623 |
+ |
with Constraints - Molecular-Dynamics of N-Alkanes}, |
| 2624 |
+ |
journal = {Journal of Computational Physics}, |
| 2625 |
+ |
year = {1977}, |
| 2626 |
+ |
volume = {23}, |
| 2627 |
+ |
pages = {327-341}, |
| 2628 |
+ |
number = {3}, |
| 2629 |
+ |
annote = {Cz253 Times Cited:3680 Cited References Count:7}, |
| 2630 |
+ |
issn = {0021-9991}, |
| 2631 |
+ |
uri = {<Go to ISI>://A1977CZ25300007}, |
| 2632 |
+ |
} |
| 2633 |
+ |
|
| 2634 |
+ |
@ARTICLE{Sagui1999, |
| 2635 |
+ |
author = {C. Sagui and T. A. Darden}, |
| 2636 |
+ |
title = {Molecular dynamics simulations of biomolecules: Long-range electrostatic |
| 2637 |
+ |
effects}, |
| 2638 |
+ |
journal = {Annual Review of Biophysics and Biomolecular Structure}, |
| 2639 |
+ |
year = {1999}, |
| 2640 |
+ |
volume = {28}, |
| 2641 |
+ |
pages = {155-179}, |
| 2642 |
+ |
abstract = {Current computer simulations of biomolecules typically make use of |
| 2643 |
+ |
classical molecular dynamics methods, as a very large number (tens |
| 2644 |
+ |
to hundreds of thousands) of atoms are involved over timescales |
| 2645 |
+ |
of many nanoseconds. The methodology for treating short-range bonded |
| 2646 |
+ |
and van der Waals interactions has matured. However, long-range |
| 2647 |
+ |
electrostatic interactions still represent a bottleneck in simulations. |
| 2648 |
+ |
In this article, we introduce the basic issues for an accurate representation |
| 2649 |
+ |
of the relevant electrostatic interactions. In spite of the huge |
| 2650 |
+ |
computational time demanded by most biomolecular systems, it is |
| 2651 |
+ |
no longer necessary to resort to uncontrolled approximations such |
| 2652 |
+ |
as the use of cutoffs. In particular, we discuss the Ewald summation |
| 2653 |
+ |
methods, the fast particle mesh methods, and the fast multipole |
| 2654 |
+ |
methods. We also review recent efforts to understand the role of |
| 2655 |
+ |
boundary conditions in systems with long-range interactions, and |
| 2656 |
+ |
conclude with a short perspective on future trends.}, |
| 2657 |
+ |
annote = {213KJ Times Cited:126 Cited References Count:73}, |
| 2658 |
+ |
issn = {1056-8700}, |
| 2659 |
+ |
uri = {<Go to ISI>://000081271400008}, |
| 2660 |
+ |
} |
| 2661 |
+ |
|
| 2662 |
|
@ARTICLE{Sandu1999, |
| 2663 |
|
author = {A. Sandu and T. Schlick}, |
| 2664 |
|
title = {Masking resonance artifacts in force-splitting methods for biomolecular |
| 2709 |
|
annote = {194FM Times Cited:14 Cited References Count:32}, |
| 2710 |
|
issn = {0021-9991}, |
| 2711 |
|
uri = {<Go to ISI>://000080181500004}, |
| 2712 |
+ |
} |
| 2713 |
+ |
|
| 2714 |
+ |
@ARTICLE{Sasaki2004, |
| 2715 |
+ |
author = {Y. Sasaki and R. Shukla and B. D. Smith}, |
| 2716 |
+ |
title = {Facilitated phosphatidylserine flip-flop across vesicle and cell |
| 2717 |
+ |
membranes using urea-derived synthetic translocases}, |
| 2718 |
+ |
journal = {Organic \& Biomolecular Chemistry}, |
| 2719 |
+ |
year = {2004}, |
| 2720 |
+ |
volume = {2}, |
| 2721 |
+ |
pages = {214-219}, |
| 2722 |
+ |
number = {2}, |
| 2723 |
+ |
abstract = {Tris(2-aminoethyl) amine derivatives with appended urea and sulfonamide |
| 2724 |
+ |
groups are shown to facilitate the translocation of fluorescent |
| 2725 |
+ |
phospholipid probes and endogenous phosphatidylserine across vesicle |
| 2726 |
+ |
and erythrocyte cell membranes. The synthetic translocases appear |
| 2727 |
+ |
to operate by binding to the phospholipid head groups and forming |
| 2728 |
+ |
lipophilic supramolecular complexes which diffuse through the non-polar |
| 2729 |
+ |
interior of the bilayer membrane.}, |
| 2730 |
+ |
annote = {760PX Times Cited:8 Cited References Count:25}, |
| 2731 |
+ |
issn = {1477-0520}, |
| 2732 |
+ |
uri = {<Go to ISI>://000187843800012}, |
| 2733 |
|
} |
| 2734 |
|
|
| 2735 |
|
@ARTICLE{Satoh1996, |
| 2800 |
|
annote = {901QJ Times Cited:9 Cited References Count:23}, |
| 2801 |
|
issn = {1476-1122}, |
| 2802 |
|
uri = {<Go to ISI>://000227296700019}, |
| 2803 |
+ |
} |
| 2804 |
+ |
|
| 2805 |
+ |
@ARTICLE{Shimada1993, |
| 2806 |
+ |
author = {J. Shimada and H. Kaneko and T. Takada}, |
| 2807 |
+ |
title = {Efficient Calculations of Coulombic Interactions in Biomolecular |
| 2808 |
+ |
Simulations with Periodic Boundary-Conditions}, |
| 2809 |
+ |
journal = {Journal of Computational Chemistry}, |
| 2810 |
+ |
year = {1993}, |
| 2811 |
+ |
volume = {14}, |
| 2812 |
+ |
pages = {867-878}, |
| 2813 |
+ |
number = {7}, |
| 2814 |
+ |
month = {Jul}, |
| 2815 |
+ |
abstract = {To make improved treatments of electrostatic interactions in biomacromolecular |
| 2816 |
+ |
simulations, two possibilities are considered. The first is the |
| 2817 |
+ |
famous particle-particle and particle-mesh (PPPM) method developed |
| 2818 |
+ |
by Hockney and Eastwood, and the second is a new one developed here |
| 2819 |
+ |
in their spirit but by the use of the multipole expansion technique |
| 2820 |
+ |
suggested by Ladd. It is then numerically found that the new PPPM |
| 2821 |
+ |
method gives more accurate results for a two-particle system at |
| 2822 |
+ |
small separation of particles. Preliminary numerical examination |
| 2823 |
+ |
of the various computational methods for a single configuration |
| 2824 |
+ |
of a model BPTI-water system containing about 24,000 particles indicates |
| 2825 |
+ |
that both of the PPPM methods give far more accurate values with |
| 2826 |
+ |
reasonable computational cost than do the conventional truncation |
| 2827 |
+ |
methods. It is concluded the two PPPM methods are nearly comparable |
| 2828 |
+ |
in overall performance for the many-particle systems, although the |
| 2829 |
+ |
first method has the drawback that the accuracy in the total electrostatic |
| 2830 |
+ |
energy is not high for configurations of charged particles randomly |
| 2831 |
+ |
generated.}, |
| 2832 |
+ |
annote = {Lh164 Times Cited:27 Cited References Count:47}, |
| 2833 |
+ |
issn = {0192-8651}, |
| 2834 |
+ |
uri = {<Go to ISI>://A1993LH16400011}, |
| 2835 |
|
} |
| 2836 |
|
|
| 2837 |
|
@ARTICLE{Skeel2002, |
| 2993 |
|
uri = {<Go to ISI>://A1992JE89100044}, |
| 2994 |
|
} |
| 2995 |
|
|
| 2996 |
+ |
@BOOK{Varadarajan1974, |
| 2997 |
+ |
title = {Lie groups, Lie algebras, and their representations}, |
| 2998 |
+ |
publisher = {Prentice-Hall}, |
| 2999 |
+ |
year = {1974}, |
| 3000 |
+ |
author = {V.S. Varadarajan}, |
| 3001 |
+ |
address = {New York}, |
| 3002 |
+ |
} |
| 3003 |
+ |
|
| 3004 |
|
@ARTICLE{Wegener1979, |
| 3005 |
|
author = {W.~A. Wegener, V.~J. Koester and R.~M. Dowben}, |
| 3006 |
|
title = {A general ellipsoid can not always serve as a modle for the rotational |
| 3010 |
|
volume = {76}, |
| 3011 |
|
pages = {6356-6360}, |
| 3012 |
|
number = {12}, |
| 3013 |
+ |
} |
| 3014 |
+ |
|
| 3015 |
+ |
@ARTICLE{Wilson2006, |
| 3016 |
+ |
author = {G.~V. Wilson }, |
| 3017 |
+ |
title = {Where's the Real Bottleneck in Scientific Computing?}, |
| 3018 |
+ |
journal = {American Scientist}, |
| 3019 |
+ |
year = {2006}, |
| 3020 |
+ |
volume = {94}, |
| 3021 |
|
} |
| 3022 |
|
|
| 3023 |
|
@ARTICLE{Withers2003, |
| 3062 |
|
uri = {<Go to ISI>://000186273200027}, |
| 3063 |
|
} |
| 3064 |
|
|
| 3065 |
+ |
@ARTICLE{Wolf1999, |
| 3066 |
+ |
author = {D. Wolf and P. Keblinski and S. R. Phillpot and J. Eggebrecht}, |
| 3067 |
+ |
title = {Exact method for the simulation of Coulombic systems by spherically |
| 3068 |
+ |
truncated, pairwise r(-1) summation}, |
| 3069 |
+ |
journal = {Journal of Chemical Physics}, |
| 3070 |
+ |
year = {1999}, |
| 3071 |
+ |
volume = {110}, |
| 3072 |
+ |
pages = {8254-8282}, |
| 3073 |
+ |
number = {17}, |
| 3074 |
+ |
month = {May 1}, |
| 3075 |
+ |
abstract = {Based on a recent result showing that the net Coulomb potential in |
| 3076 |
+ |
condensed ionic systems is rather short ranged, an exact and physically |
| 3077 |
+ |
transparent method permitting the evaluation of the Coulomb potential |
| 3078 |
+ |
by direct summation over the r(-1) Coulomb pair potential is presented. |
| 3079 |
+ |
The key observation is that the problems encountered in determining |
| 3080 |
+ |
the Coulomb energy by pairwise, spherically truncated r(-1) summation |
| 3081 |
+ |
are a direct consequence of the fact that the system summed over |
| 3082 |
+ |
is practically never neutral. A simple method is developed that |
| 3083 |
+ |
achieves charge neutralization wherever the r(-1) pair potential |
| 3084 |
+ |
is truncated. This enables the extraction of the Coulomb energy, |
| 3085 |
+ |
forces, and stresses from a spherically truncated, usually charged |
| 3086 |
+ |
environment in a manner that is independent of the grouping of the |
| 3087 |
+ |
pair terms. The close connection of our approach with the Ewald |
| 3088 |
+ |
method is demonstrated and exploited, providing an efficient method |
| 3089 |
+ |
for the simulation of even highly disordered ionic systems by direct, |
| 3090 |
+ |
pairwise r(-1) summation with spherical truncation at rather short |
| 3091 |
+ |
range, i.e., a method which fully exploits the short-ranged nature |
| 3092 |
+ |
of the interactions in ionic systems. The method is validated by |
| 3093 |
+ |
simulations of crystals, liquids, and interfacial systems, such |
| 3094 |
+ |
as free surfaces and grain boundaries. (C) 1999 American Institute |
| 3095 |
+ |
of Physics. [S0021-9606(99)51517-1].}, |
| 3096 |
+ |
annote = {189PD Times Cited:70 Cited References Count:34}, |
| 3097 |
+ |
issn = {0021-9606}, |
| 3098 |
+ |
uri = {<Go to ISI>://000079913000008}, |
| 3099 |
+ |
} |
| 3100 |
+ |
|
| 3101 |
+ |
@ARTICLE{Yoshida1990, |
| 3102 |
+ |
author = {H. Yoshida}, |
| 3103 |
+ |
title = {Construction of Higher-Order Symplectic Integrators}, |
| 3104 |
+ |
journal = {Physics Letters A}, |
| 3105 |
+ |
year = {1990}, |
| 3106 |
+ |
volume = {150}, |
| 3107 |
+ |
pages = {262-268}, |
| 3108 |
+ |
number = {5-7}, |
| 3109 |
+ |
month = {Nov 12}, |
| 3110 |
+ |
annote = {Ej798 Times Cited:492 Cited References Count:9}, |
| 3111 |
+ |
issn = {0375-9601}, |
| 3112 |
+ |
uri = {<Go to ISI>://A1990EJ79800009}, |
| 3113 |
+ |
} |
| 3114 |
+ |
|