| 1 |
#include <stdio.h> |
| 2 |
#include <stdlib.h> |
| 3 |
#include <string.h> |
| 4 |
#include <math.h> |
| 5 |
#include <unistd.h> |
| 6 |
#include <sys/types.h> |
| 7 |
#include <sys/stat.h> |
| 8 |
#include <sys/time.h> |
| 9 |
#include <time.h> |
| 10 |
#include "mkl_vsl.h" |
| 11 |
|
| 12 |
// inlined functions (for periodic box wrapping) |
| 13 |
|
| 14 |
inline double roundMe( double x ){ |
| 15 |
return ( x >= 0 ) ? floor( x + 0.5 ) : ceil( x - 0.5 ); |
| 16 |
} |
| 17 |
|
| 18 |
// Structures to store our data: |
| 19 |
|
| 20 |
// coords holds the data for a single tethered dipole: |
| 21 |
struct coords{ |
| 22 |
double pos[3]; // cartesian coords |
| 23 |
double theta; // orientational angle relative to z axis |
| 24 |
double phi; // orientational angle in x-y plane |
| 25 |
double mu; // dipole strength |
| 26 |
char name[30]; // an identifier for the type of atom |
| 27 |
}; |
| 28 |
|
| 29 |
// state holds the current "configuration" of the entire system |
| 30 |
struct system { |
| 31 |
int nAtoms; // Number of Atoms in this configuration |
| 32 |
struct coords *r; // The set of coordinates for all atoms |
| 33 |
double beta; // beta = 1 /(kb*T) |
| 34 |
double strength; // strength of the dipoles (Debye) |
| 35 |
double z0; // default z axis position |
| 36 |
double theta0; // default theta angle |
| 37 |
double kz; // force constant for z displacement |
| 38 |
double kr; // force constant for z displacement |
| 39 |
double ktheta; // force constant for theta displacement |
| 40 |
int nCycles; // How many cycles to do in total |
| 41 |
int iCycle; // How many cycles have we done? |
| 42 |
int nMoves; // How many MC moves in each cycle |
| 43 |
int nSample; // How many cycles between samples |
| 44 |
double Hmat[2][2]; // The information about the size of the per. box |
| 45 |
double HmatI[2][2]; // The inverse box |
| 46 |
double energy; // The current Energy |
| 47 |
double dtheta; // maximum size of a theta move |
| 48 |
double deltaz; // maximum size of a z move |
| 49 |
double deltaphi; // maximum size of a phi move |
| 50 |
int nAttempts; // number of MC moves that have been attempted |
| 51 |
int nAccepts; // number of MC moves that have been accepted |
| 52 |
int nx; // number of unit cells in x direction |
| 53 |
int ny; // number of unit cells in y direction |
| 54 |
double XYNNDIST; // maximum distance of nearest neighbors in XY plane |
| 55 |
}; |
| 56 |
|
| 57 |
char *program_name; /* the name of the program */ |
| 58 |
|
| 59 |
// Function prototypes: |
| 60 |
void usage(void); |
| 61 |
double toterg(struct system* state); |
| 62 |
void getmag(struct system* state, double mag[3]); |
| 63 |
double eneri(struct system* state, struct coords iTemp, int i, int jb); |
| 64 |
void adjust(struct system* state); |
| 65 |
void mcmove(struct system* state, VSLStreamStatePtr stream, double *en); |
| 66 |
void store(struct system* state, FILE* out_file); |
| 67 |
void invertMat2(double a[2][2], double b[2][2]); |
| 68 |
void wrapVector( double thePos[2], double Hmat[2][2], double HmatI[2][2]); |
| 69 |
|
| 70 |
// Defines for the MKL random Number generator: |
| 71 |
#define SEED 1 |
| 72 |
#define BRNG VSL_BRNG_MCG31 |
| 73 |
#define METHOD 0 |
| 74 |
#define N 1 |
| 75 |
|
| 76 |
int main(argc, argv) |
| 77 |
int argc; |
| 78 |
char *argv[]; |
| 79 |
{ |
| 80 |
|
| 81 |
FILE *in_file; /* the input file */ |
| 82 |
FILE *out_file; /* the output file */ |
| 83 |
char *out_prefix = NULL; /* the prefix of the output file |
| 84 |
(if different from the root_name) */ |
| 85 |
char out_name[500]; /* the output name */ |
| 86 |
char in_name[500]; // the input file name |
| 87 |
char *root_name = NULL; /* the root name */ |
| 88 |
|
| 89 |
int have_outName = 0; |
| 90 |
int have_inName = 0; |
| 91 |
int have_rootName = 0; |
| 92 |
int restart_from_file = 0; |
| 93 |
|
| 94 |
int i, j, k, imove; |
| 95 |
|
| 96 |
char temp_name[500]; |
| 97 |
int lineCount = 0; // the line number |
| 98 |
char read_buffer[1000]; /* the line buffer for reading */ |
| 99 |
char *eof_test; /* ptr to see when we reach the end of the file */ |
| 100 |
char *foo; /* the pointer to the current string token */ |
| 101 |
char atomName[10]; |
| 102 |
|
| 103 |
double aLat; |
| 104 |
double bLat; |
| 105 |
int cells; |
| 106 |
|
| 107 |
int haveAlat = 0; |
| 108 |
int haveBlat = 0; |
| 109 |
int haveCells = 0; |
| 110 |
|
| 111 |
struct system* state; |
| 112 |
struct coords* r; |
| 113 |
|
| 114 |
int done; |
| 115 |
char current_flag; |
| 116 |
|
| 117 |
double dx, dy, uxi, uyi, uzi, myran, en, ent, magmag; |
| 118 |
double mag[3]; |
| 119 |
int which; |
| 120 |
|
| 121 |
// Other useful defines: |
| 122 |
|
| 123 |
double twopi = 2.0 * M_PI; |
| 124 |
double kb = 0.0019872198; |
| 125 |
strcpy(atomName, "Ar"); |
| 126 |
|
| 127 |
state = (struct system *)malloc(sizeof(struct system)); |
| 128 |
|
| 129 |
// The parameters for the simulation: |
| 130 |
|
| 131 |
state->strength = 7.0; |
| 132 |
state->z0 = 0.0; |
| 133 |
state->kz = kb; |
| 134 |
state->kr = kb; |
| 135 |
state->theta0 = M_PI / 2.0; |
| 136 |
state->ktheta = 0.0; |
| 137 |
state->dtheta = 0.3; |
| 138 |
state->deltaz = 1.0; |
| 139 |
state->deltaphi = 0.5; |
| 140 |
state->beta = 1.0 / (kb * 270.0); |
| 141 |
|
| 142 |
// these three should really be given as command line arguments, but we'll |
| 143 |
// set defaults here just in case: |
| 144 |
|
| 145 |
state->nCycles = 1000000; |
| 146 |
state->nMoves = 100; |
| 147 |
|
| 148 |
// Store roughly 100 frames while we are testing |
| 149 |
state->nSample = state->nCycles / 100; |
| 150 |
|
| 151 |
// Stuff for initializing the random number generator: |
| 152 |
struct timeval now_time_val; |
| 153 |
struct timezone time_zone; |
| 154 |
struct tm *now_tm; |
| 155 |
time_t now; |
| 156 |
int mySeed; |
| 157 |
VSLStreamStatePtr stream; |
| 158 |
|
| 159 |
// First, initialize the random number generator: |
| 160 |
gettimeofday(&now_time_val, &time_zone); /* get the time now */ |
| 161 |
now = now_time_val.tv_sec; /* convert to epoch time */ |
| 162 |
mySeed = (int) now; |
| 163 |
vslNewStream(&stream, BRNG, mySeed); |
| 164 |
|
| 165 |
// Now handle the arguments to the program: |
| 166 |
|
| 167 |
program_name = argv[0]; // save the program name in case we need it |
| 168 |
|
| 169 |
for( i = 1; i < argc; i++){ |
| 170 |
|
| 171 |
if(argv[i][0] =='-'){ |
| 172 |
|
| 173 |
// parse single character options |
| 174 |
|
| 175 |
done =0; |
| 176 |
j = 1; |
| 177 |
current_flag = argv[i][j]; |
| 178 |
while( (current_flag != '\0') && (!done) ){ |
| 179 |
|
| 180 |
switch(current_flag){ |
| 181 |
|
| 182 |
case 'o': |
| 183 |
// -o <filename> => the output |
| 184 |
|
| 185 |
i++; |
| 186 |
strcpy( out_name, argv[i] ); |
| 187 |
have_outName = 1; |
| 188 |
done = 1; |
| 189 |
break; |
| 190 |
|
| 191 |
case 'i': |
| 192 |
// -i <filename> => the input |
| 193 |
|
| 194 |
i++; |
| 195 |
strcpy( in_name, argv[i] ); |
| 196 |
have_inName = 1; |
| 197 |
done = 1; |
| 198 |
break; |
| 199 |
|
| 200 |
case 'r': |
| 201 |
// -r <root> => root Name |
| 202 |
|
| 203 |
i++; |
| 204 |
strcpy( root_name, argv[i] ); |
| 205 |
have_rootName = 1; |
| 206 |
done = 1; |
| 207 |
break; |
| 208 |
|
| 209 |
case 'n': |
| 210 |
// -n <#> => do Cycle MC cycles |
| 211 |
|
| 212 |
i++; |
| 213 |
state->nCycles = atoi(argv[i]); |
| 214 |
done = 1; |
| 215 |
break; |
| 216 |
|
| 217 |
case 's': |
| 218 |
// -s <#> => write out every nSample MC cycles |
| 219 |
printf("setting nSample\n"); |
| 220 |
i++; |
| 221 |
state->nSample = atoi(argv[i]); |
| 222 |
printf("setting nSample to %d\n", state->nSample); |
| 223 |
done = 1; |
| 224 |
break; |
| 225 |
|
| 226 |
case 'm': |
| 227 |
// -m <#> => each MC cycle consists of nMoves atomic moves |
| 228 |
|
| 229 |
i++; |
| 230 |
state->nMoves = atoi(argv[i]); |
| 231 |
done = 1; |
| 232 |
break; |
| 233 |
|
| 234 |
case 'k': |
| 235 |
// -k kz sets the value of kz in units of kb |
| 236 |
i++; |
| 237 |
state->kz = kb * atof( argv[i] ); |
| 238 |
state->kr = state->kz; |
| 239 |
done = 1; |
| 240 |
break; |
| 241 |
|
| 242 |
case 'q': |
| 243 |
// -q mu set the strength of the dipole |
| 244 |
i++; |
| 245 |
state->strength = atof( argv[i] ); |
| 246 |
done = 1; |
| 247 |
break; |
| 248 |
|
| 249 |
case 'h': |
| 250 |
// -h hexSpace set the inter-atomic spacing for a regular |
| 251 |
// hexagonal lattice |
| 252 |
haveAlat = 1; |
| 253 |
haveBlat = 1; |
| 254 |
i++; |
| 255 |
bLat = atof( argv[i] ); |
| 256 |
aLat = sqrt(3.0) * bLat; |
| 257 |
done = 1; |
| 258 |
break; |
| 259 |
|
| 260 |
case 'a': |
| 261 |
// -a aLat set the x lattice spacing for the distorted hexagonal |
| 262 |
// lattice |
| 263 |
haveAlat = 1; |
| 264 |
i++; |
| 265 |
aLat = atof( argv[i] ); |
| 266 |
done = 1; |
| 267 |
break; |
| 268 |
|
| 269 |
case 'b': |
| 270 |
// -b bLat set the y lattice spacing for the distorted hexagonal |
| 271 |
// lattice when initializing the system |
| 272 |
haveBlat = 1; |
| 273 |
i++; |
| 274 |
bLat = atof( argv[i] ); |
| 275 |
done = 1; |
| 276 |
break; |
| 277 |
|
| 278 |
case 'c': |
| 279 |
// -c cells sets the number of unit cells along the x axis |
| 280 |
// to use when initializing the system |
| 281 |
haveCells = 1; |
| 282 |
i++; |
| 283 |
cells = atoi( argv[i] ); |
| 284 |
done = 1; |
| 285 |
break; |
| 286 |
|
| 287 |
case 'x': |
| 288 |
usage(); |
| 289 |
done = 1; |
| 290 |
break; |
| 291 |
|
| 292 |
default: |
| 293 |
|
| 294 |
(void)fprintf(stderr, "Bad option \"-%s\"\n", current_flag); |
| 295 |
usage(); |
| 296 |
} |
| 297 |
j++; |
| 298 |
current_flag = argv[i][j]; |
| 299 |
} |
| 300 |
} else { |
| 301 |
|
| 302 |
if( root_name != NULL ){ |
| 303 |
fprintf( stderr, |
| 304 |
"The root name has already been set with an argument to -r\n" |
| 305 |
"But another argument looks like the root name. Whassup?\n"); |
| 306 |
usage(); |
| 307 |
} |
| 308 |
|
| 309 |
root_name = argv[i]; |
| 310 |
} |
| 311 |
} |
| 312 |
|
| 313 |
if ( !have_outName && root_name == NULL) { |
| 314 |
fprintf( stderr, "No output or root filename was set, so look for your data in dp.dump!\n"); |
| 315 |
strcpy(out_name, "dp.dump"); |
| 316 |
have_outName=1; |
| 317 |
} |
| 318 |
|
| 319 |
|
| 320 |
// Figure out if we are starting from an input file: |
| 321 |
|
| 322 |
if (have_inName) { |
| 323 |
|
| 324 |
restart_from_file = 1; |
| 325 |
|
| 326 |
in_file = fopen(in_name, "r"); |
| 327 |
if(in_file == NULL){ |
| 328 |
printf("Cannot open file \"%s\" for reading.\n", in_name); |
| 329 |
exit(8); |
| 330 |
} |
| 331 |
|
| 332 |
// start reading the first frame |
| 333 |
eof_test = fgets(read_buffer, sizeof(read_buffer), in_file); |
| 334 |
lineCount++; |
| 335 |
|
| 336 |
while(eof_test != NULL){ |
| 337 |
|
| 338 |
(void)sscanf(read_buffer, "%d", &state->nAtoms); |
| 339 |
state->r = |
| 340 |
(struct coords *)calloc(state->nAtoms, sizeof(struct coords)); |
| 341 |
|
| 342 |
// read and the comment line and grab the time and box dimensions |
| 343 |
|
| 344 |
eof_test = fgets(read_buffer, sizeof(read_buffer), in_file); |
| 345 |
lineCount++; |
| 346 |
if(eof_test == NULL){ |
| 347 |
printf("error in reading file at line: %d\n", lineCount); |
| 348 |
exit(8); |
| 349 |
} |
| 350 |
|
| 351 |
foo = strtok( read_buffer, " ,;\t" ); |
| 352 |
(void)sscanf( read_buffer, "%d", &state->iCycle ); |
| 353 |
|
| 354 |
foo = strtok(NULL, " ,;\t"); |
| 355 |
if(foo == NULL){ |
| 356 |
printf("error in reading file at line: %d\n", lineCount); |
| 357 |
exit(8); |
| 358 |
} |
| 359 |
(void)sscanf(foo, "%d", &state->nx); |
| 360 |
|
| 361 |
foo = strtok(NULL, " ,;\t"); |
| 362 |
if(foo == NULL){ |
| 363 |
printf("error in reading file at line: %d\n", lineCount); |
| 364 |
exit(8); |
| 365 |
} |
| 366 |
(void)sscanf(foo, "%d", &state->ny); |
| 367 |
|
| 368 |
foo = strtok(NULL, " ,;\t"); |
| 369 |
if(foo == NULL){ |
| 370 |
printf("error in reading file at line: %d\n", lineCount); |
| 371 |
exit(8); |
| 372 |
} |
| 373 |
(void)sscanf(foo, "%lf",&state->Hmat[0][0]); |
| 374 |
|
| 375 |
foo = strtok(NULL, " ,;\t"); |
| 376 |
if(foo == NULL){ |
| 377 |
printf("error in reading file at line: %d\n", lineCount); |
| 378 |
exit(8); |
| 379 |
} |
| 380 |
(void)sscanf(foo, "%lf",&state->Hmat[1][0]); |
| 381 |
|
| 382 |
|
| 383 |
foo = strtok(NULL, " ,;\t"); |
| 384 |
if(foo == NULL){ |
| 385 |
printf("error in reading file at line: %d\n", lineCount); |
| 386 |
exit(8); |
| 387 |
} |
| 388 |
(void)sscanf(foo, "%lf",&state->Hmat[0][1]); |
| 389 |
|
| 390 |
foo = strtok(NULL, " ,;\t"); |
| 391 |
if(foo == NULL){ |
| 392 |
printf("error in reading file at line: %d\n", lineCount); |
| 393 |
exit(8); |
| 394 |
} |
| 395 |
(void)sscanf(foo, "%lf",&state->Hmat[1][1]); |
| 396 |
|
| 397 |
// Length of the two box vectors: |
| 398 |
|
| 399 |
dx = sqrt(pow(state->Hmat[0][0], 2) + pow(state->Hmat[1][0], 2)); |
| 400 |
dy = sqrt(pow(state->Hmat[0][1], 2) + pow(state->Hmat[1][1], 2)); |
| 401 |
|
| 402 |
aLat = dx / (double)(state->nx); |
| 403 |
bLat = dy / (double)(state->ny); |
| 404 |
|
| 405 |
if (0.5*sqrt(pow(aLat,2.0) + pow(bLat,2.0)) > bLat) { |
| 406 |
state->XYNNDIST = 0.5*sqrt(pow(aLat,2.0) + pow(bLat,2.0)); |
| 407 |
} else { |
| 408 |
state->XYNNDIST = bLat; |
| 409 |
} |
| 410 |
// slightly larger so we can use < as a comparison |
| 411 |
state->XYNNDIST = state->XYNNDIST * 1.01; |
| 412 |
|
| 413 |
// Find HmatI: |
| 414 |
|
| 415 |
invertMat2(state->Hmat, state->HmatI); |
| 416 |
|
| 417 |
for( i=0; i < state->nAtoms; i++){ |
| 418 |
|
| 419 |
eof_test = fgets(read_buffer, sizeof(read_buffer), in_file); |
| 420 |
lineCount++; |
| 421 |
if(eof_test == NULL){ |
| 422 |
printf("error in reading file at line: %d\n", lineCount); |
| 423 |
exit(8); |
| 424 |
} |
| 425 |
|
| 426 |
foo = strtok(read_buffer, " ,;\t"); |
| 427 |
(void)strcpy(state->r[i].name, foo); //copy the atom name |
| 428 |
|
| 429 |
// next we grab the positions |
| 430 |
|
| 431 |
foo = strtok(NULL, " ,;\t"); |
| 432 |
if(foo == NULL){ |
| 433 |
printf("error in reading postition x from %s\n" |
| 434 |
"natoms = %d, line = %d\n", |
| 435 |
in_name, state->nAtoms, lineCount ); |
| 436 |
exit(8); |
| 437 |
} |
| 438 |
(void)sscanf( foo, "%lf", &state->r[i].pos[0] ); |
| 439 |
|
| 440 |
foo = strtok(NULL, " ,;\t"); |
| 441 |
if(foo == NULL){ |
| 442 |
printf("error in reading postition y from %s\n" |
| 443 |
"natoms = %d, line = %d\n", |
| 444 |
in_name, state->nAtoms, lineCount ); |
| 445 |
exit(8); |
| 446 |
} |
| 447 |
(void)sscanf( foo, "%lf", &state->r[i].pos[1] ); |
| 448 |
|
| 449 |
foo = strtok(NULL, " ,;\t"); |
| 450 |
if(foo == NULL){ |
| 451 |
printf("error in reading postition z from %s\n" |
| 452 |
"natoms = %d, line = %d\n", |
| 453 |
in_name, state->nAtoms, lineCount ); |
| 454 |
exit(8); |
| 455 |
} |
| 456 |
(void)sscanf( foo, "%lf", &state->r[i].pos[2] ); |
| 457 |
|
| 458 |
foo = strtok(NULL, " ,;\t"); |
| 459 |
if(foo == NULL){ |
| 460 |
printf("error in reading angle phi from %s\n" |
| 461 |
"natoms = %d, line = %d\n", |
| 462 |
in_name, state->nAtoms, lineCount ); |
| 463 |
exit(8); |
| 464 |
} |
| 465 |
(void)sscanf( foo, "%lf", &state->r[i].phi ); |
| 466 |
|
| 467 |
foo = strtok(NULL, " ,;\t"); |
| 468 |
if(foo == NULL){ |
| 469 |
printf("error in reading unit vector x from %s\n" |
| 470 |
"natoms = %d, line = %d\n", |
| 471 |
in_name, state->nAtoms, lineCount ); |
| 472 |
exit(8); |
| 473 |
} |
| 474 |
(void)sscanf( foo, "%lf", &uxi ); |
| 475 |
|
| 476 |
foo = strtok(NULL, " ,;\t"); |
| 477 |
if(foo == NULL){ |
| 478 |
printf("error in reading unit vector y from %s\n" |
| 479 |
"natoms = %d, line = %d\n", |
| 480 |
in_name, state->nAtoms, lineCount ); |
| 481 |
exit(8); |
| 482 |
} |
| 483 |
(void)sscanf( foo, "%lf", &uyi ); |
| 484 |
|
| 485 |
foo = strtok(NULL, " ,;\t"); |
| 486 |
if(foo == NULL){ |
| 487 |
printf("error in reading unit vector z from %s\n" |
| 488 |
"natoms = %d, line = %d\n", |
| 489 |
in_name, state->nAtoms, lineCount ); |
| 490 |
exit(8); |
| 491 |
} |
| 492 |
(void)sscanf( foo, "%lf", &uzi ); |
| 493 |
|
| 494 |
state->r[i].theta = acos(uzi); |
| 495 |
|
| 496 |
// The one parameter not stored in the dump file is the dipole strength |
| 497 |
state->r[i].mu = state->strength; |
| 498 |
|
| 499 |
} |
| 500 |
eof_test = fgets(read_buffer, sizeof(read_buffer), in_file); |
| 501 |
lineCount++; |
| 502 |
} |
| 503 |
(void)fclose(in_file); |
| 504 |
|
| 505 |
} else { |
| 506 |
|
| 507 |
// not restarting from file, so use data we've got! |
| 508 |
|
| 509 |
if (!haveAlat) { |
| 510 |
printf("aLat has not been set!\n"); |
| 511 |
exit(8); |
| 512 |
} |
| 513 |
|
| 514 |
if (!haveBlat) { |
| 515 |
printf("bLat has not been set!\n"); |
| 516 |
exit(8); |
| 517 |
} |
| 518 |
|
| 519 |
if (!haveCells) { |
| 520 |
printf("The number of cells has not been set!\n"); |
| 521 |
exit(8); |
| 522 |
} |
| 523 |
|
| 524 |
// Create lattice here: |
| 525 |
|
| 526 |
// Domains should be roughly square: |
| 527 |
|
| 528 |
state->nx = cells; |
| 529 |
state->ny = (int) ((double)cells * aLat / bLat ); |
| 530 |
|
| 531 |
if (0.5*sqrt(pow(aLat,2.0) + pow(bLat,2.0)) > bLat) { |
| 532 |
state->XYNNDIST = 0.5*sqrt(pow(aLat,2.0) + pow(bLat,2.0)); |
| 533 |
} else { |
| 534 |
state->XYNNDIST = bLat; |
| 535 |
} |
| 536 |
// slightly larger so we can use < as a comparison |
| 537 |
state->XYNNDIST = state->XYNNDIST * 1.01; |
| 538 |
|
| 539 |
// each cell has 2 atoms (one at (0,0) and one at (a/2 , b/2)) |
| 540 |
state->nAtoms = 2 * state->nx * state->ny; |
| 541 |
|
| 542 |
state->r = |
| 543 |
(struct coords *)calloc(state->nAtoms, sizeof(struct coords)); |
| 544 |
|
| 545 |
which = 0; |
| 546 |
for(i=0; i < state->nx; i++) { |
| 547 |
for(j=0; j < state->ny; j++) { |
| 548 |
|
| 549 |
// First atom is at (0,0) |
| 550 |
|
| 551 |
(void)strcpy(state->r[which].name, atomName); |
| 552 |
state->r[which].pos[0] = i * aLat; |
| 553 |
state->r[which].pos[1] = j * bLat; |
| 554 |
|
| 555 |
vdRngUniform( METHOD, stream, N, &myran, 0.0, 1.0); |
| 556 |
state->r[which].phi = myran * twopi; |
| 557 |
|
| 558 |
vdRngUniform( METHOD, stream, N, &myran, 0.0, 1.0); |
| 559 |
state->r[which].theta = acos(2.0*myran - 1.0); |
| 560 |
|
| 561 |
vdRngUniform( METHOD, stream, N, &myran, 0.0, 1.0); |
| 562 |
state->r[which].pos[2] = state->z0 + (2.0*myran-1.0) * state->deltaz; |
| 563 |
|
| 564 |
state->r[which].mu = state->strength; |
| 565 |
|
| 566 |
which++; |
| 567 |
// Second atom is at (a/2, b/2) |
| 568 |
|
| 569 |
state->r[which].pos[0] = aLat * (2.0 * i + 1.0) / 2.0; |
| 570 |
state->r[which].pos[1] = bLat * (2.0 * j + 1.0) / 2.0; |
| 571 |
|
| 572 |
vdRngUniform( METHOD, stream, N, &myran, 0.0, 1.0); |
| 573 |
state->r[which].phi = myran * twopi; |
| 574 |
|
| 575 |
vdRngUniform( METHOD, stream, N, &myran, 0.0, 1.0); |
| 576 |
state->r[which].theta = acos(2.0*myran - 1.0); |
| 577 |
|
| 578 |
vdRngUniform( METHOD, stream, N, &myran, 0.0, 1.0); |
| 579 |
state->r[which].pos[2] = state->z0 + (2.0*myran-1.0)*state->deltaz; |
| 580 |
|
| 581 |
state->r[which].mu = state->strength; |
| 582 |
which++; |
| 583 |
} |
| 584 |
} |
| 585 |
state->Hmat[0][0] = state->nx * aLat; |
| 586 |
state->Hmat[0][1] = 0.0; |
| 587 |
state->Hmat[1][0] = 0.0; |
| 588 |
state->Hmat[1][1] = state->ny * bLat; |
| 589 |
|
| 590 |
// Find HmatI: |
| 591 |
|
| 592 |
invertMat2(state->Hmat, state->HmatI); |
| 593 |
|
| 594 |
} |
| 595 |
|
| 596 |
// Open the dump file for writing: |
| 597 |
|
| 598 |
if( !have_outName ) sprintf( out_name, "%s.dump", root_name ); |
| 599 |
|
| 600 |
out_file = fopen( out_name, "w" ); |
| 601 |
if( out_file == NULL ){ |
| 602 |
printf("Cannot open file \"%s\" for writing.\n", out_name); |
| 603 |
exit(8); |
| 604 |
} |
| 605 |
|
| 606 |
if (state->iCycle >= state->nCycles) { |
| 607 |
printf("This configuration has already gone past the requested number\n" |
| 608 |
"of MC cycles! Use the -n flag to request more MC cycles!\n"); |
| 609 |
exit(8); |
| 610 |
} |
| 611 |
|
| 612 |
// Do the MC simulation (finally!) |
| 613 |
|
| 614 |
en = toterg(state); |
| 615 |
|
| 616 |
printf("MC simulation starting for %d cycles\n", state->nCycles); |
| 617 |
printf("MC simulation starting with %d moves per cycle\n", state->nMoves); |
| 618 |
printf("MC simulation starting with sampling done every %d cycles\n", state->nSample); |
| 619 |
|
| 620 |
printf("The initial Energy is : \t%f\n\n", en); |
| 621 |
|
| 622 |
state->nAttempts = 0; |
| 623 |
state->nAccepts = 0; |
| 624 |
|
| 625 |
adjust(state); |
| 626 |
|
| 627 |
for(state->iCycle = 0; state->iCycle < state->nCycles; state->iCycle++) { |
| 628 |
for(imove=0; imove < state->nMoves; imove++) { |
| 629 |
mcmove(state, stream, &en); |
| 630 |
} |
| 631 |
|
| 632 |
if(((state->iCycle)%state->nSample) == 0) { |
| 633 |
store(state, out_file); |
| 634 |
/* Don't bother with the magnetization for now */ |
| 635 |
/* |
| 636 |
getmag(state, mag); |
| 637 |
magmag = sqrt(pow(mag[0],2) + pow(mag[1],2) + pow(mag[2],2)); |
| 638 |
printf("mag=%f\t%f\t%f\t%f\n", mag[0], mag[1], mag[2], magmag); |
| 639 |
*/ |
| 640 |
} |
| 641 |
|
| 642 |
if( ((state->iCycle+1)%(state->nCycles / 5)) ==0) { |
| 643 |
printf("\n=====> Completed\t%d\tout of\t%d cycles\n", |
| 644 |
state->iCycle + 1, |
| 645 |
state->nCycles); |
| 646 |
adjust(state); |
| 647 |
} |
| 648 |
} |
| 649 |
|
| 650 |
if(state->nCycles != 0) { |
| 651 |
if(state->nAttempts !=0) { |
| 652 |
printf("Number of attempts to modify a particle :%d\n" |
| 653 |
"Number of successful modifications: %d (=%lf%)\n\n", |
| 654 |
state->nAttempts, state->nAccepts, |
| 655 |
100*(double)(state->nAccepts)/(double)(state->nAttempts)); |
| 656 |
} |
| 657 |
|
| 658 |
ent = toterg(state); |
| 659 |
|
| 660 |
if ( fabs(ent-en) > 1e-6) { |
| 661 |
printf("\n###### ENERGY PROBLEMS ###############\n\n"); |
| 662 |
printf("Total Energy end of simulation : %lf\n" |
| 663 |
"Running Energy : %lf\n" |
| 664 |
"Energy Difference : %lf\n\n", ent, en, ent-en); |
| 665 |
} |
| 666 |
} |
| 667 |
fclose(out_file); |
| 668 |
vslDeleteStream( &stream ); |
| 669 |
return 0; |
| 670 |
} |
| 671 |
|
| 672 |
double toterg(struct system* state) { |
| 673 |
|
| 674 |
struct coords iTemp; |
| 675 |
|
| 676 |
int i, jb; |
| 677 |
double ener; |
| 678 |
double eni; |
| 679 |
|
| 680 |
ener = 0.0; |
| 681 |
|
| 682 |
for(i = 0; i < state->nAtoms; i++) { |
| 683 |
|
| 684 |
// Copy atom i's values into iTemp: |
| 685 |
|
| 686 |
iTemp.pos[0] = state->r[i].pos[0]; |
| 687 |
iTemp.pos[1] = state->r[i].pos[1]; |
| 688 |
iTemp.pos[2] = state->r[i].pos[2]; |
| 689 |
iTemp.phi = state->r[i].phi; |
| 690 |
iTemp.theta = state->r[i].theta; |
| 691 |
iTemp.mu = state->r[i].mu; |
| 692 |
|
| 693 |
// Pointer for eneri loop start is set to i |
| 694 |
// We'll skip the i->i pairing in the eneri routine |
| 695 |
|
| 696 |
jb = i; |
| 697 |
|
| 698 |
eni = eneri(state, iTemp, i, jb); |
| 699 |
ener += eni; |
| 700 |
} |
| 701 |
state->energy = ener; |
| 702 |
return ener; |
| 703 |
} |
| 704 |
|
| 705 |
void getmag(struct system* state, double mag[3]) { |
| 706 |
|
| 707 |
double thetai, phii, mui, magmag; |
| 708 |
int i; |
| 709 |
|
| 710 |
mag[0] = 0.0; |
| 711 |
mag[1] = 0.0; |
| 712 |
mag[2] = 0.0; |
| 713 |
|
| 714 |
for(i = 0; i < state->nAtoms; i++) { |
| 715 |
phii = state->r[i].phi; |
| 716 |
thetai = state->r[i].theta; |
| 717 |
mui = state->r[i].mu; |
| 718 |
mag[0] += mui * cos(phii) * sin(thetai); |
| 719 |
mag[1] += mui * sin(phii) * sin(thetai); |
| 720 |
mag[2] += mui * cos(thetai); |
| 721 |
} |
| 722 |
|
| 723 |
mag[0] /= (double)(state->nAtoms); |
| 724 |
mag[1] /= (double)(state->nAtoms); |
| 725 |
mag[2] /= (double)(state->nAtoms); |
| 726 |
|
| 727 |
} |
| 728 |
|
| 729 |
double eneri(struct system *state, struct coords iTemp, int i, int jb) { |
| 730 |
|
| 731 |
double uxi, uyi, uzi, rxy, rij, r, r2, r3, r5, uxj, uyj, uzj, rcut; |
| 732 |
double udotu, rdotui, rdotuj, vij, pre, vint; |
| 733 |
double dx, dy, aLat, bLat; |
| 734 |
double eni, dz; |
| 735 |
double d[2]; |
| 736 |
int j; |
| 737 |
|
| 738 |
vint = 0.0; |
| 739 |
|
| 740 |
pre = 14.38362; |
| 741 |
|
| 742 |
rcut = 30.0; |
| 743 |
|
| 744 |
dx = sqrt(pow(state->Hmat[0][0], 2) + pow(state->Hmat[1][0], 2)); |
| 745 |
dy = sqrt(pow(state->Hmat[0][1], 2) + pow(state->Hmat[1][1], 2)); |
| 746 |
|
| 747 |
aLat = dx / (double)(state->nx); |
| 748 |
bLat = dy / (double)(state->ny); |
| 749 |
|
| 750 |
eni = 0.0; |
| 751 |
uxi = iTemp.mu * cos(iTemp.phi) * sin(iTemp.theta); |
| 752 |
uyi = iTemp.mu * sin(iTemp.phi) * sin(iTemp.theta); |
| 753 |
uzi = iTemp.mu * cos(iTemp.theta); |
| 754 |
|
| 755 |
for(j = jb; j < state->nAtoms; j++) { |
| 756 |
if(j != i) { |
| 757 |
|
| 758 |
// 2-d wrapping on x and y: |
| 759 |
|
| 760 |
d[0] = state->r[j].pos[0] - iTemp.pos[0]; |
| 761 |
d[1] = state->r[j].pos[1] - iTemp.pos[1]; |
| 762 |
|
| 763 |
wrapVector(d, state->Hmat, state->HmatI); |
| 764 |
|
| 765 |
// z is unwrapped! |
| 766 |
|
| 767 |
dz = state->r[j].pos[2] - iTemp.pos[2]; |
| 768 |
|
| 769 |
|
| 770 |
rxy = sqrt(pow(d[0], 2) + pow(d[1], 2)); |
| 771 |
r2 = pow(d[0], 2) + pow(d[1], 2) + pow(dz, 2); |
| 772 |
r = sqrt(r2); |
| 773 |
|
| 774 |
if (rxy < state->XYNNDIST) { |
| 775 |
vint += 0.5 * state->kr * r2; |
| 776 |
} |
| 777 |
|
| 778 |
if(r < rcut) { |
| 779 |
|
| 780 |
r3 = r2*r; |
| 781 |
r5 = r2*r3; |
| 782 |
|
| 783 |
uxj = state->r[j].mu * cos(state->r[j].phi) * sin(state->r[j].theta); |
| 784 |
uyj = state->r[j].mu * sin(state->r[j].phi) * sin(state->r[j].theta); |
| 785 |
uzj = state->r[j].mu * cos(state->r[j].theta); |
| 786 |
udotu = uxi*uxj + uyi*uyj + uzi*uzj; |
| 787 |
rdotui = d[0]*uxi + d[1]*uyi + dz*uzi; |
| 788 |
rdotuj = d[0]*uxj + d[1]*uyj + dz*uzj; |
| 789 |
|
| 790 |
vij = pre*(udotu/r3 - 3.0*rdotui*rdotuj/r5); |
| 791 |
eni += vij; |
| 792 |
} |
| 793 |
} |
| 794 |
} |
| 795 |
|
| 796 |
vint += 0.5 * state->ktheta * pow((iTemp.theta - state->theta0), 2); |
| 797 |
eni += vint; |
| 798 |
return eni; |
| 799 |
} |
| 800 |
|
| 801 |
void adjust(struct system* state) { |
| 802 |
|
| 803 |
static int attempp, naccp; |
| 804 |
double dzo, dphio, dthetao, frac; |
| 805 |
|
| 806 |
if((state->nAttempts == 0) || (attempp >= state->nAttempts)) { |
| 807 |
naccp = state->nAccepts; |
| 808 |
attempp = state->nAttempts; |
| 809 |
} else { |
| 810 |
frac = (double)(state->nAccepts - naccp) / |
| 811 |
(double)(state->nAttempts - attempp); |
| 812 |
|
| 813 |
dthetao = state->dtheta; |
| 814 |
dzo = state->deltaz; |
| 815 |
dphio = state->deltaphi; |
| 816 |
|
| 817 |
state->dtheta *= fabs(frac/0.5); |
| 818 |
state->deltaz *= fabs(frac/0.5); |
| 819 |
state->deltaphi *= fabs(frac/0.5); |
| 820 |
|
| 821 |
if((state->dtheta/dthetao)>1.5) state->dtheta = dthetao*1.5; |
| 822 |
if((state->dtheta/dthetao)<0.5) state->dtheta = dthetao*0.5; |
| 823 |
|
| 824 |
if((state->deltaz/dzo)>1.5) state->deltaz = dzo * 1.5; |
| 825 |
if((state->deltaz/dzo)<0.5) state->deltaz = dzo * 0.5; |
| 826 |
if((state->deltaphi/dphio)>1.5) state->deltaphi = dphio * 1.5; |
| 827 |
if((state->deltaphi/dphio)<0.5) state->deltaphi = dphio * 0.5; |
| 828 |
printf("Max. displ. set to :\t%lf\t%lf\t%lf\n" |
| 829 |
" (old was:\t%lf\t%lf\t%lf)\n" |
| 830 |
"Fractional acceptance:\t%lf\n" |
| 831 |
"nAttempts:\t%d\n" |
| 832 |
"nSuccesses:\t%d\n\n", |
| 833 |
state->deltaz, state->deltaphi, state->dtheta, |
| 834 |
dzo, dphio, dthetao, |
| 835 |
frac, |
| 836 |
state->nAttempts - attempp, |
| 837 |
state->nAccepts - naccp); |
| 838 |
naccp = state->nAccepts; |
| 839 |
attempp=state->nAttempts; |
| 840 |
} |
| 841 |
} |
| 842 |
|
| 843 |
void mcmove(struct system* state, VSLStreamStatePtr stream, double *en) { |
| 844 |
|
| 845 |
int o, jb; |
| 846 |
struct coords oTemp; |
| 847 |
double eno, enn, myran; |
| 848 |
|
| 849 |
state->nAttempts++; |
| 850 |
|
| 851 |
jb = 0; |
| 852 |
|
| 853 |
vdRngUniform( METHOD, stream, N, &myran, 0.0, 1.0); |
| 854 |
|
| 855 |
o = (int)(state->nAtoms * myran); |
| 856 |
oTemp.pos[0] = state->r[o].pos[0]; |
| 857 |
oTemp.pos[1] = state->r[o].pos[1]; |
| 858 |
oTemp.pos[2] = state->r[o].pos[2]; |
| 859 |
oTemp.phi = state->r[o].phi; |
| 860 |
oTemp.theta = state->r[o].theta; |
| 861 |
oTemp.mu = state->r[o].mu; |
| 862 |
|
| 863 |
eno = eneri(state, oTemp, o, jb); |
| 864 |
|
| 865 |
vdRngUniform( METHOD, stream, N, &myran, 0.0, 1.0); |
| 866 |
|
| 867 |
oTemp.pos[2] += (2.0*myran-1.0) * state->deltaz; |
| 868 |
|
| 869 |
vdRngUniform( METHOD, stream, N, &myran, 0.0, 1.0); |
| 870 |
|
| 871 |
oTemp.phi += (2.0*myran-1.0) * state->deltaphi; |
| 872 |
|
| 873 |
vdRngUniform( METHOD, stream, N, &myran, 0.0, 1.0); |
| 874 |
|
| 875 |
oTemp.theta += (2.0*myran-1.0) * state->dtheta; |
| 876 |
|
| 877 |
enn = eneri(state, oTemp, o, jb); |
| 878 |
|
| 879 |
|
| 880 |
vdRngUniform( METHOD, stream, N, &myran, 0.0, 1.0); |
| 881 |
|
| 882 |
if(myran <= (exp(- state->beta * (enn-eno)))) { |
| 883 |
state->nAccepts++; |
| 884 |
*en += (enn-eno); |
| 885 |
state->r[o].pos[2] = oTemp.pos[2]; |
| 886 |
state->r[o].phi = oTemp.phi; |
| 887 |
state->r[o].theta = oTemp.theta; |
| 888 |
} |
| 889 |
} |
| 890 |
|
| 891 |
|
| 892 |
void store(struct system* state, FILE* out_file) { |
| 893 |
|
| 894 |
double uxi, uyi, uzi; |
| 895 |
int i; |
| 896 |
|
| 897 |
fprintf(out_file,"%d\n",state->nAtoms); |
| 898 |
|
| 899 |
fprintf(out_file, "%d;\t%d\t%d;\t%f\t%f;\t%f\t%f;\n", |
| 900 |
state->iCycle, |
| 901 |
state->nx, |
| 902 |
state->ny, |
| 903 |
state->Hmat[0][0], |
| 904 |
state->Hmat[1][0], |
| 905 |
state->Hmat[0][1], |
| 906 |
state->Hmat[1][1]); |
| 907 |
|
| 908 |
for(i=0; i < state->nAtoms; i++) { |
| 909 |
uxi = cos(state->r[i].phi)*sin(state->r[i].theta); |
| 910 |
uyi = sin(state->r[i].phi)*sin(state->r[i].theta); |
| 911 |
uzi = cos(state->r[i].theta); |
| 912 |
fprintf(out_file, "%s\t%f\t%f\t%f\t%f\t%f\t%f\t%f\n", |
| 913 |
"Ar", |
| 914 |
state->r[i].pos[0], |
| 915 |
state->r[i].pos[1], |
| 916 |
state->r[i].pos[2], |
| 917 |
state->r[i].phi, |
| 918 |
uxi, |
| 919 |
uyi, |
| 920 |
uzi); |
| 921 |
} |
| 922 |
|
| 923 |
fflush(out_file); |
| 924 |
} |
| 925 |
|
| 926 |
double matDet2(double a[2][2]) { |
| 927 |
|
| 928 |
double determinant; |
| 929 |
|
| 930 |
determinant = (a[0][0] * a[1][1]) - (a[0][1] * a[1][0]); |
| 931 |
|
| 932 |
return determinant; |
| 933 |
} |
| 934 |
|
| 935 |
|
| 936 |
void invertMat2(double a[2][2], double b[2][2]) { |
| 937 |
|
| 938 |
double determinant; |
| 939 |
|
| 940 |
determinant = matDet2( a ); |
| 941 |
|
| 942 |
if (determinant == 0.0) { |
| 943 |
printf("Can't invert a matrix with a zero determinant!\n"); |
| 944 |
} |
| 945 |
|
| 946 |
b[0][0] = a[1][1] / determinant; |
| 947 |
b[0][1] = -a[0][1] / determinant; |
| 948 |
b[1][0] = -a[1][0] / determinant; |
| 949 |
b[1][1] = a[0][0] / determinant; |
| 950 |
} |
| 951 |
|
| 952 |
void matVecMul2(double m[2][2], double inVec[2], double outVec[2]) { |
| 953 |
double a0, a1, a2; |
| 954 |
|
| 955 |
a0 = inVec[0]; a1 = inVec[1]; |
| 956 |
|
| 957 |
outVec[0] = m[0][0]*a0 + m[0][1]*a1; |
| 958 |
outVec[1] = m[1][0]*a0 + m[1][1]*a1; |
| 959 |
} |
| 960 |
|
| 961 |
void wrapVector( double thePos[2], double Hmat[2][2], double HmatInv[2][2]){ |
| 962 |
|
| 963 |
int i; |
| 964 |
double scaled[2]; |
| 965 |
|
| 966 |
// calc the scaled coordinates. |
| 967 |
|
| 968 |
matVecMul2(HmatInv, thePos, scaled); |
| 969 |
|
| 970 |
for(i=0; i<2; i++) |
| 971 |
scaled[i] -= roundMe(scaled[i]); |
| 972 |
|
| 973 |
// calc the wrapped real coordinates from the wrapped scaled coordinates |
| 974 |
|
| 975 |
matVecMul2(Hmat, scaled, thePos); |
| 976 |
|
| 977 |
} |
| 978 |
|
| 979 |
/*************************************************************************** |
| 980 |
* prints out the usage for the command line arguments, then exits. |
| 981 |
***************************************************************************/ |
| 982 |
|
| 983 |
void usage(){ |
| 984 |
(void)fprintf(stderr, |
| 985 |
"The proper usage is: %s [options]\n" |
| 986 |
"\n" |
| 987 |
"Options:\n" |
| 988 |
"\n" |
| 989 |
" -x Display this message\n" |
| 990 |
" -o <out_name> The output file (Defaults to <root>.dump)\n" |
| 991 |
" -i <in_name> The input file (no default)\n" |
| 992 |
" -r <root> The root (Defaults to dp)\n" |
| 993 |
" -n nCycles The number of MC cycles to do\n" |
| 994 |
" -s nSample The number of MC cycles between samples\n" |
| 995 |
" -m nMoves The number of particle moves in each MC cycle\n" |
| 996 |
" -a aLat Set the lattice spacing along x axis\n" |
| 997 |
" -b bLat Set the lattice spacing along y axis\n" |
| 998 |
" -c cells Set the number of cells along x direction\n" |
| 999 |
" (Domains are kept nearly square)\n" |
| 1000 |
" -h hexSpace Set up a hexagonal lattice\n" |
| 1001 |
" aLat = sqrt(3) hexSpace\n" |
| 1002 |
" bLat = hexSpace\n" |
| 1003 |
" -k kz Sets the value of kz in units of kb\n" |
| 1004 |
" -t t Sets the value of temperature in units of kelvin\n" |
| 1005 |
" -q strength Sets the strength of the dipole\n" |
| 1006 |
"\n", |
| 1007 |
|
| 1008 |
program_name); |
| 1009 |
exit(8); |
| 1010 |
} |