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gezelter |
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!! |
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!! Copyright (c) 2005 The University of Notre Dame. All Rights Reserved. |
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!! |
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!! The University of Notre Dame grants you ("Licensee") a |
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!! non-exclusive, royalty free, license to use, modify and |
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!! redistribute this software in source and binary code form, provided |
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!! that the following conditions are met: |
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!! |
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!! 1. Acknowledgement of the program authors must be made in any |
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!! publication of scientific results based in part on use of the |
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!! program. An acceptable form of acknowledgement is citation of |
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!! the article in which the program was described (Matthew |
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!! A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher |
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!! J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented |
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!! Parallel Simulation Engine for Molecular Dynamics," |
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!! J. Comput. Chem. 26, pp. 252-271 (2005)) |
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!! |
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!! 2. Redistributions of source code must retain the above copyright |
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!! notice, this list of conditions and the following disclaimer. |
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!! |
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!! 3. Redistributions in binary form must reproduce the above copyright |
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!! notice, this list of conditions and the following disclaimer in the |
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!! documentation and/or other materials provided with the |
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!! distribution. |
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!! |
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!! This software is provided "AS IS," without a warranty of any |
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!! kind. All express or implied conditions, representations and |
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!! warranties, including any implied warranty of merchantability, |
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!! fitness for a particular purpose or non-infringement, are hereby |
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!! excluded. The University of Notre Dame and its licensors shall not |
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!! be liable for any damages suffered by licensee as a result of |
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!! using, modifying or distributing the software or its |
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!! derivatives. In no event will the University of Notre Dame or its |
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!! licensors be liable for any lost revenue, profit or data, or for |
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!! direct, indirect, special, consequential, incidental or punitive |
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!! damages, however caused and regardless of the theory of liability, |
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!! arising out of the use of or inability to use software, even if the |
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!! University of Notre Dame has been advised of the possibility of |
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!! such damages. |
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!! |
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gezelter |
115 |
module gb_pair |
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use force_globals |
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use definitions |
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use simulation |
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#ifdef IS_MPI |
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use mpiSimulation |
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#endif |
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kdaily |
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gezelter |
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implicit none |
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PRIVATE |
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logical, save :: gb_pair_initialized = .false. |
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real(kind=dp), save :: gb_sigma |
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real(kind=dp), save :: gb_l2b_ratio |
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real(kind=dp), save :: gb_eps |
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real(kind=dp), save :: gb_eps_ratio |
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real(kind=dp), save :: gb_mu |
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real(kind=dp), save :: gb_nu |
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public :: check_gb_pair_FF |
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public :: set_gb_pair_params |
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public :: do_gb_pair |
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chrisfen |
578 |
public :: getGayBerneCut |
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gezelter |
115 |
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contains |
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subroutine check_gb_pair_FF(status) |
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integer :: status |
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status = -1 |
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if (gb_pair_initialized) status = 0 |
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return |
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end subroutine check_gb_pair_FF |
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subroutine set_gb_pair_params(sigma, l2b_ratio, eps, eps_ratio, mu, nu) |
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real( kind = dp ), intent(in) :: sigma, l2b_ratio, eps, eps_ratio |
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real( kind = dp ), intent(in) :: mu, nu |
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kdaily |
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gezelter |
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gb_sigma = sigma |
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gb_l2b_ratio = l2b_ratio |
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gb_eps = eps |
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gb_eps_ratio = eps_ratio |
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gb_mu = mu |
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gb_nu = nu |
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gb_pair_initialized = .true. |
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return |
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end subroutine set_gb_pair_params |
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chrisfen |
578 |
function getGayBerneCut(atomID) result(cutValue) |
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integer, intent(in) :: atomID !! nah... we don't need to use this... |
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real(kind=dp) :: cutValue |
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gezelter |
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chrisfen |
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cutValue = gb_sigma*2.5_dp |
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end function getGayBerneCut |
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gezelter |
115 |
subroutine do_gb_pair(atom1, atom2, d, r, r2, sw, vpair, fpair, & |
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gezelter |
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pot, A, f, t, do_pot) |
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kdaily |
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gezelter |
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integer, intent(in) :: atom1, atom2 |
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integer :: id1, id2 |
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real (kind=dp), intent(inout) :: r, r2 |
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real (kind=dp), dimension(3), intent(in) :: d |
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real (kind=dp), dimension(3), intent(inout) :: fpair |
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real (kind=dp) :: pot, sw, vpair |
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gezelter |
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real (kind=dp), dimension(9,nLocal) :: A |
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gezelter |
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real (kind=dp), dimension(3,nLocal) :: f |
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real (kind=dp), dimension(3,nLocal) :: t |
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logical, intent(in) :: do_pot |
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real (kind = dp), dimension(3) :: ul1 |
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real (kind = dp), dimension(3) :: ul2 |
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real(kind=dp) :: chi, chiprime, emu, s2 |
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real(kind=dp) :: r4, rdotu1, rdotu2, u1dotu2, g, gp, gpi, gmu, gmum |
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real(kind=dp) :: curlyE, enu, enum, eps, dotsum, dotdiff, ds2, dd2 |
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real(kind=dp) :: opXdot, omXdot, opXpdot, omXpdot, pref, gfact |
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real(kind=dp) :: BigR, Ri, Ri2, Ri6, Ri7, Ri12, Ri13, R126, R137 |
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real(kind=dp) :: dru1dx, dru1dy, dru1dz |
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real(kind=dp) :: dru2dx, dru2dy, dru2dz |
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real(kind=dp) :: dBigRdx, dBigRdy, dBigRdz |
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real(kind=dp) :: dBigRdu1x, dBigRdu1y, dBigRdu1z |
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real(kind=dp) :: dBigRdu2x, dBigRdu2y, dBigRdu2z |
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real(kind=dp) :: dUdx, dUdy, dUdz |
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real(kind=dp) :: dUdu1x, dUdu1y, dUdu1z, dUdu2x, dUdu2y, dUdu2z |
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real(kind=dp) :: dcE, dcEdu1x, dcEdu1y, dcEdu1z, dcEdu2x, dcEdu2y, dcEdu2z |
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real(kind=dp) :: depsdu1x, depsdu1y, depsdu1z, depsdu2x, depsdu2y, depsdu2z |
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real(kind=dp) :: drdx, drdy, drdz |
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real(kind=dp) :: dgdx, dgdy, dgdz |
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real(kind=dp) :: dgdu1x, dgdu1y, dgdu1z, dgdu2x, dgdu2y, dgdu2z |
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real(kind=dp) :: dgpdx, dgpdy, dgpdz |
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real(kind=dp) :: dgpdu1x, dgpdu1y, dgpdu1z, dgpdu2x, dgpdu2y, dgpdu2z |
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real(kind=dp) :: line1a, line1bx, line1by, line1bz |
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real(kind=dp) :: line2a, line2bx, line2by, line2bz |
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real(kind=dp) :: line3a, line3b, line3, line3x, line3y, line3z |
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real(kind=dp) :: term1x, term1y, term1z, term1u1x, term1u1y, term1u1z |
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real(kind=dp) :: term1u2x, term1u2y, term1u2z |
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real(kind=dp) :: term2a, term2b, term2u1x, term2u1y, term2u1z |
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real(kind=dp) :: term2u2x, term2u2y, term2u2z |
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real(kind=dp) :: yick1, yick2, mess1, mess2 |
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kdaily |
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gezelter |
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s2 = (gb_l2b_ratio)**2 |
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emu = (gb_eps_ratio)**(1.0d0/gb_mu) |
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chi = (s2 - 1.0d0)/(s2 + 1.0d0) |
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chiprime = (1.0d0 - emu)/(1.0d0 + emu) |
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r4 = r2*r2 |
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#ifdef IS_MPI |
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gezelter |
246 |
ul1(1) = A_Row(3,atom1) |
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ul1(2) = A_Row(6,atom1) |
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ul1(3) = A_Row(9,atom1) |
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gezelter |
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gezelter |
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ul2(1) = A_Col(3,atom2) |
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ul2(2) = A_Col(6,atom2) |
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ul2(3) = A_Col(9,atom2) |
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gezelter |
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#else |
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gezelter |
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ul1(1) = A(3,atom1) |
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ul1(2) = A(6,atom1) |
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ul1(3) = A(9,atom1) |
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gezelter |
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gezelter |
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ul2(1) = A(3,atom2) |
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ul2(2) = A(6,atom2) |
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ul2(3) = A(9,atom2) |
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gezelter |
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#endif |
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kdaily |
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gezelter |
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dru1dx = ul1(1) |
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dru2dx = ul2(1) |
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dru1dy = ul1(2) |
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dru2dy = ul2(2) |
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dru1dz = ul1(3) |
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dru2dz = ul2(3) |
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kdaily |
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gezelter |
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drdx = d(1) / r |
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drdy = d(2) / r |
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drdz = d(3) / r |
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kdaily |
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gezelter |
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! do some dot products: |
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! NB the r in these dot products is the actual intermolecular vector, |
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! and is not the unit vector in that direction. |
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kdaily |
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gezelter |
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rdotu1 = d(1)*ul1(1) + d(2)*ul1(2) + d(3)*ul1(3) |
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rdotu2 = d(1)*ul2(1) + d(2)*ul2(2) + d(3)*ul2(3) |
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u1dotu2 = ul1(1)*ul2(1) + ul1(2)*ul2(2) + ul1(3)*ul2(3) |
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! This stuff is all for the calculation of g(Chi) and dgdx |
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! Line numbers roughly follow the lines in equation A25 of Luckhurst |
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! et al. Liquid Crystals 8, 451-464 (1990). |
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! We note however, that there are some major typos in that Appendix |
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! of the Luckhurst paper, particularly in equations A23, A29 and A31 |
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! We have attempted to correct them below. |
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kdaily |
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gezelter |
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dotsum = rdotu1+rdotu2 |
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dotdiff = rdotu1-rdotu2 |
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ds2 = dotsum*dotsum |
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dd2 = dotdiff*dotdiff |
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kdaily |
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gezelter |
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opXdot = 1.0d0 + Chi*u1dotu2 |
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omXdot = 1.0d0 - Chi*u1dotu2 |
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opXpdot = 1.0d0 + ChiPrime*u1dotu2 |
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omXpdot = 1.0d0 - ChiPrime*u1dotu2 |
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kdaily |
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gezelter |
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line1a = dotsum/opXdot |
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line1bx = dru1dx + dru2dx |
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line1by = dru1dy + dru2dy |
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line1bz = dru1dz + dru2dz |
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kdaily |
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gezelter |
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line2a = dotdiff/omXdot |
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line2bx = dru1dx - dru2dx |
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line2by = dru1dy - dru2dy |
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line2bz = dru1dz - dru2dz |
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kdaily |
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gezelter |
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term1x = -Chi*(line1a*line1bx + line2a*line2bx)/r2 |
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term1y = -Chi*(line1a*line1by + line2a*line2by)/r2 |
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term1z = -Chi*(line1a*line1bz + line2a*line2bz)/r2 |
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kdaily |
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gezelter |
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line3a = ds2/opXdot |
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line3b = dd2/omXdot |
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line3 = Chi*(line3a + line3b)/r4 |
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line3x = d(1)*line3 |
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line3y = d(2)*line3 |
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line3z = d(3)*line3 |
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kdaily |
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gezelter |
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dgdx = term1x + line3x |
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dgdy = term1y + line3y |
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dgdz = term1z + line3z |
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kdaily |
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term1u1x = (line1a+line2a)*dru1dx |
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term1u1y = (line1a+line2a)*dru1dy |
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term1u1z = (line1a+line2a)*dru1dz |
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term1u2x = (line1a-line2a)*dru2dx |
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term1u2y = (line1a-line2a)*dru2dy |
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term1u2z = (line1a-line2a)*dru2dz |
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gezelter |
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term2a = -line3a/opXdot |
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term2b = line3b/omXdot |
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kdaily |
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gezelter |
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term2u1x = Chi*ul2(1)*(term2a + term2b) |
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term2u1y = Chi*ul2(2)*(term2a + term2b) |
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term2u1z = Chi*ul2(3)*(term2a + term2b) |
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term2u2x = Chi*ul1(1)*(term2a + term2b) |
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term2u2y = Chi*ul1(2)*(term2a + term2b) |
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term2u2z = Chi*ul1(3)*(term2a + term2b) |
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kdaily |
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gezelter |
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pref = -Chi*0.5d0/r2 |
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dgdu1x = pref*(term1u1x+term2u1x) |
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dgdu1y = pref*(term1u1y+term2u1y) |
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dgdu1z = pref*(term1u1z+term2u1z) |
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dgdu2x = pref*(term1u2x+term2u2x) |
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dgdu2y = pref*(term1u2y+term2u2y) |
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dgdu2z = pref*(term1u2z+term2u2z) |
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g = 1.0d0 - Chi*(line3a + line3b)/(2.0d0*r2) |
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kdaily |
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gezelter |
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BigR = (r - gb_sigma*(g**(-0.5d0)) + gb_sigma)/gb_sigma |
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Ri = 1.0d0/BigR |
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Ri2 = Ri*Ri |
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Ri6 = Ri2*Ri2*Ri2 |
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Ri7 = Ri6*Ri |
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Ri12 = Ri6*Ri6 |
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Ri13 = Ri6*Ri7 |
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gfact = (g**(-1.5d0))*0.5d0 |
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dBigRdx = drdx/gb_sigma + dgdx*gfact |
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dBigRdy = drdy/gb_sigma + dgdy*gfact |
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dBigRdz = drdz/gb_sigma + dgdz*gfact |
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kdaily |
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gezelter |
115 |
dBigRdu1x = dgdu1x*gfact |
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dBigRdu1y = dgdu1y*gfact |
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dBigRdu1z = dgdu1z*gfact |
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dBigRdu2x = dgdu2x*gfact |
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dBigRdu2y = dgdu2y*gfact |
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dBigRdu2z = dgdu2z*gfact |
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gezelter |
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gezelter |
115 |
! Now, we must do it again for g(ChiPrime) and dgpdx |
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line1a = dotsum/opXpdot |
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line2a = dotdiff/omXpdot |
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term1x = -ChiPrime*(line1a*line1bx + line2a*line2bx)/r2 |
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term1y = -ChiPrime*(line1a*line1by + line2a*line2by)/r2 |
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term1z = -ChiPrime*(line1a*line1bz + line2a*line2bz)/r2 |
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line3a = ds2/opXpdot |
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line3b = dd2/omXpdot |
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line3 = ChiPrime*(line3a + line3b)/r4 |
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line3x = d(1)*line3 |
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line3y = d(2)*line3 |
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line3z = d(3)*line3 |
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kdaily |
529 |
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gezelter |
115 |
dgpdx = term1x + line3x |
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dgpdy = term1y + line3y |
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dgpdz = term1z + line3z |
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kdaily |
529 |
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term1u1x = (line1a+line2a)*dru1dx |
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term1u1y = (line1a+line2a)*dru1dy |
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term1u1z = (line1a+line2a)*dru1dz |
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term1u2x = (line1a-line2a)*dru2dx |
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term1u2y = (line1a-line2a)*dru2dy |
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|
|
term1u2z = (line1a-line2a)*dru2dz |
| 303 |
gezelter |
507 |
|
| 304 |
gezelter |
115 |
term2a = -line3a/opXpdot |
| 305 |
|
|
term2b = line3b/omXpdot |
| 306 |
kdaily |
529 |
|
| 307 |
gezelter |
115 |
term2u1x = ChiPrime*ul2(1)*(term2a + term2b) |
| 308 |
|
|
term2u1y = ChiPrime*ul2(2)*(term2a + term2b) |
| 309 |
|
|
term2u1z = ChiPrime*ul2(3)*(term2a + term2b) |
| 310 |
|
|
term2u2x = ChiPrime*ul1(1)*(term2a + term2b) |
| 311 |
|
|
term2u2y = ChiPrime*ul1(2)*(term2a + term2b) |
| 312 |
|
|
term2u2z = ChiPrime*ul1(3)*(term2a + term2b) |
| 313 |
kdaily |
529 |
|
| 314 |
gezelter |
115 |
pref = -ChiPrime*0.5d0/r2 |
| 315 |
kdaily |
529 |
|
| 316 |
gezelter |
115 |
dgpdu1x = pref*(term1u1x+term2u1x) |
| 317 |
|
|
dgpdu1y = pref*(term1u1y+term2u1y) |
| 318 |
|
|
dgpdu1z = pref*(term1u1z+term2u1z) |
| 319 |
|
|
dgpdu2x = pref*(term1u2x+term2u2x) |
| 320 |
|
|
dgpdu2y = pref*(term1u2y+term2u2y) |
| 321 |
|
|
dgpdu2z = pref*(term1u2z+term2u2z) |
| 322 |
kdaily |
529 |
|
| 323 |
gezelter |
115 |
gp = 1.0d0 - ChiPrime*(line3a + line3b)/(2.0d0*r2) |
| 324 |
|
|
gmu = gp**gb_mu |
| 325 |
|
|
gpi = 1.0d0 / gp |
| 326 |
|
|
gmum = gmu*gpi |
| 327 |
gezelter |
507 |
|
| 328 |
gezelter |
115 |
curlyE = 1.0d0/dsqrt(1.0d0 - Chi*Chi*u1dotu2*u1dotu2) |
| 329 |
|
|
|
| 330 |
|
|
dcE = (curlyE**3)*Chi*Chi*u1dotu2 |
| 331 |
kdaily |
529 |
|
| 332 |
gezelter |
115 |
dcEdu1x = dcE*ul2(1) |
| 333 |
|
|
dcEdu1y = dcE*ul2(2) |
| 334 |
|
|
dcEdu1z = dcE*ul2(3) |
| 335 |
|
|
dcEdu2x = dcE*ul1(1) |
| 336 |
|
|
dcEdu2y = dcE*ul1(2) |
| 337 |
|
|
dcEdu2z = dcE*ul1(3) |
| 338 |
kdaily |
529 |
|
| 339 |
gezelter |
115 |
enu = curlyE**gb_nu |
| 340 |
|
|
enum = enu/curlyE |
| 341 |
kdaily |
529 |
|
| 342 |
gezelter |
115 |
eps = gb_eps*enu*gmu |
| 343 |
|
|
|
| 344 |
|
|
yick1 = gb_eps*enu*gb_mu*gmum |
| 345 |
|
|
yick2 = gb_eps*gmu*gb_nu*enum |
| 346 |
|
|
|
| 347 |
|
|
depsdu1x = yick1*dgpdu1x + yick2*dcEdu1x |
| 348 |
|
|
depsdu1y = yick1*dgpdu1y + yick2*dcEdu1y |
| 349 |
|
|
depsdu1z = yick1*dgpdu1z + yick2*dcEdu1z |
| 350 |
|
|
depsdu2x = yick1*dgpdu2x + yick2*dcEdu2x |
| 351 |
|
|
depsdu2y = yick1*dgpdu2y + yick2*dcEdu2y |
| 352 |
|
|
depsdu2z = yick1*dgpdu2z + yick2*dcEdu2z |
| 353 |
kdaily |
529 |
|
| 354 |
gezelter |
115 |
R126 = Ri12 - Ri6 |
| 355 |
|
|
R137 = 6.0d0*Ri7 - 12.0d0*Ri13 |
| 356 |
kdaily |
529 |
|
| 357 |
gezelter |
115 |
mess1 = gmu*R137 |
| 358 |
|
|
mess2 = R126*gb_mu*gmum |
| 359 |
kdaily |
529 |
|
| 360 |
gezelter |
115 |
dUdx = 4.0d0*gb_eps*enu*(mess1*dBigRdx + mess2*dgpdx)*sw |
| 361 |
|
|
dUdy = 4.0d0*gb_eps*enu*(mess1*dBigRdy + mess2*dgpdy)*sw |
| 362 |
|
|
dUdz = 4.0d0*gb_eps*enu*(mess1*dBigRdz + mess2*dgpdz)*sw |
| 363 |
kdaily |
529 |
|
| 364 |
gezelter |
115 |
dUdu1x = 4.0d0*(R126*depsdu1x + eps*R137*dBigRdu1x)*sw |
| 365 |
|
|
dUdu1y = 4.0d0*(R126*depsdu1y + eps*R137*dBigRdu1y)*sw |
| 366 |
|
|
dUdu1z = 4.0d0*(R126*depsdu1z + eps*R137*dBigRdu1z)*sw |
| 367 |
|
|
dUdu2x = 4.0d0*(R126*depsdu2x + eps*R137*dBigRdu2x)*sw |
| 368 |
|
|
dUdu2y = 4.0d0*(R126*depsdu2y + eps*R137*dBigRdu2y)*sw |
| 369 |
|
|
dUdu2z = 4.0d0*(R126*depsdu2z + eps*R137*dBigRdu2z)*sw |
| 370 |
kdaily |
529 |
|
| 371 |
gezelter |
115 |
#ifdef IS_MPI |
| 372 |
|
|
f_Row(1,atom1) = f_Row(1,atom1) + dUdx |
| 373 |
|
|
f_Row(2,atom1) = f_Row(2,atom1) + dUdy |
| 374 |
|
|
f_Row(3,atom1) = f_Row(3,atom1) + dUdz |
| 375 |
kdaily |
529 |
|
| 376 |
gezelter |
115 |
f_Col(1,atom2) = f_Col(1,atom2) - dUdx |
| 377 |
|
|
f_Col(2,atom2) = f_Col(2,atom2) - dUdy |
| 378 |
|
|
f_Col(3,atom2) = f_Col(3,atom2) - dUdz |
| 379 |
kdaily |
529 |
|
| 380 |
gezelter |
115 |
t_Row(1,atom1) = t_Row(1,atom1) - ul1(2)*dUdu1z + ul1(3)*dUdu1y |
| 381 |
|
|
t_Row(2,atom1) = t_Row(2,atom1) - ul1(3)*dUdu1x + ul1(1)*dUdu1z |
| 382 |
|
|
t_Row(3,atom1) = t_Row(3,atom1) - ul1(1)*dUdu1y + ul1(2)*dUdu1x |
| 383 |
kdaily |
529 |
|
| 384 |
gezelter |
115 |
t_Col(1,atom2) = t_Col(1,atom2) - ul2(2)*dUdu2z + ul2(3)*dUdu2y |
| 385 |
|
|
t_Col(2,atom2) = t_Col(2,atom2) - ul2(3)*dUdu2x + ul2(1)*dUdu2z |
| 386 |
|
|
t_Col(3,atom2) = t_Col(3,atom2) - ul2(1)*dUdu2y + ul2(2)*dUdu2x |
| 387 |
|
|
#else |
| 388 |
|
|
f(1,atom1) = f(1,atom1) + dUdx |
| 389 |
|
|
f(2,atom1) = f(2,atom1) + dUdy |
| 390 |
|
|
f(3,atom1) = f(3,atom1) + dUdz |
| 391 |
kdaily |
529 |
|
| 392 |
gezelter |
115 |
f(1,atom2) = f(1,atom2) - dUdx |
| 393 |
|
|
f(2,atom2) = f(2,atom2) - dUdy |
| 394 |
|
|
f(3,atom2) = f(3,atom2) - dUdz |
| 395 |
kdaily |
529 |
|
| 396 |
gezelter |
115 |
t(1,atom1) = t(1,atom1) - ul1(2)*dUdu1z + ul1(3)*dUdu1y |
| 397 |
|
|
t(2,atom1) = t(2,atom1) - ul1(3)*dUdu1x + ul1(1)*dUdu1z |
| 398 |
|
|
t(3,atom1) = t(3,atom1) - ul1(1)*dUdu1y + ul1(2)*dUdu1x |
| 399 |
kdaily |
529 |
|
| 400 |
gezelter |
115 |
t(1,atom2) = t(1,atom2) - ul2(2)*dUdu2z + ul2(3)*dUdu2y |
| 401 |
|
|
t(2,atom2) = t(2,atom2) - ul2(3)*dUdu2x + ul2(1)*dUdu2z |
| 402 |
|
|
t(3,atom2) = t(3,atom2) - ul2(1)*dUdu2y + ul2(2)*dUdu2x |
| 403 |
|
|
#endif |
| 404 |
kdaily |
529 |
|
| 405 |
gezelter |
115 |
if (do_pot) then |
| 406 |
|
|
#ifdef IS_MPI |
| 407 |
|
|
pot_row(atom1) = pot_row(atom1) + 2.0d0*eps*R126*sw |
| 408 |
|
|
pot_col(atom2) = pot_col(atom2) + 2.0d0*eps*R126*sw |
| 409 |
|
|
#else |
| 410 |
|
|
pot = pot + 4.0*eps*R126*sw |
| 411 |
|
|
#endif |
| 412 |
|
|
endif |
| 413 |
|
|
|
| 414 |
|
|
vpair = vpair + 4.0*eps*R126 |
| 415 |
|
|
#ifdef IS_MPI |
| 416 |
|
|
id1 = AtomRowToGlobal(atom1) |
| 417 |
|
|
id2 = AtomColToGlobal(atom2) |
| 418 |
|
|
#else |
| 419 |
|
|
id1 = atom1 |
| 420 |
|
|
id2 = atom2 |
| 421 |
|
|
#endif |
| 422 |
kdaily |
529 |
|
| 423 |
gezelter |
115 |
if (molMembershipList(id1) .ne. molMembershipList(id2)) then |
| 424 |
kdaily |
529 |
|
| 425 |
gezelter |
115 |
fpair(1) = fpair(1) + dUdx |
| 426 |
|
|
fpair(2) = fpair(2) + dUdy |
| 427 |
|
|
fpair(3) = fpair(3) + dUdz |
| 428 |
kdaily |
529 |
|
| 429 |
gezelter |
115 |
endif |
| 430 |
kdaily |
529 |
|
| 431 |
gezelter |
115 |
return |
| 432 |
|
|
end subroutine do_gb_pair |
| 433 |
|
|
|
| 434 |
|
|
end module gb_pair |
