| 1 | xsun | 581 | #include<stdio.h> | 
| 2 |  |  | #include<math.h> | 
| 3 |  |  | #include<stdlib.h> | 
| 4 |  |  | #define max_sites 10000 | 
| 5 |  |  | #define MYSEED 8973247 | 
| 6 |  |  |  | 
| 7 |  |  | int nsites, xlat, ylat; | 
| 8 |  |  | double beta; | 
| 9 |  |  | double theta[max_sites], x[max_sites], y[max_sites], z[max_sites], phi[max_sites], mu[max_sites]; | 
| 10 |  |  | double domsizex, domsizey; | 
| 11 |  |  | double magx, magy, magz, magmag, kz, ktheta, strength, z0, theta0; | 
| 12 |  |  | double en,dtheta,deltaz,deltaphi; | 
| 13 |  |  | int attemp, nacc; | 
| 14 |  |  |  | 
| 15 |  |  |  | 
| 16 |  |  | int main() | 
| 17 |  |  | { | 
| 18 |  |  | void getmag(); | 
| 19 |  |  | double eneri(double xi, double yi, double zi, double phii, double thetai, int i, int jb); | 
| 20 |  |  | double toterg(); | 
| 21 |  |  | void adjust(); | 
| 22 |  |  | void mcmove(); | 
| 23 |  |  | void store(FILE *outFile); | 
| 24 |  |  |  | 
| 25 |  |  | double twopi, nnd, myran, kb; | 
| 26 |  |  | double ent; | 
| 27 |  |  | int icycl, ncycl, imove, nmoves, nsamp; | 
| 28 |  |  | int nx, ny, which, i, j; | 
| 29 |  |  |  | 
| 30 |  |  | FILE *outFile; | 
| 31 |  |  | outFile=fopen("dp_file","w"); | 
| 32 |  |  |  | 
| 33 |  |  | srand48(MYSEED); | 
| 34 |  |  |  | 
| 35 |  |  | domsizex = 77.0; | 
| 36 |  |  | domsizey = 77.0; | 
| 37 |  |  | nnd = 7.0; | 
| 38 |  |  | strength = 10.0; | 
| 39 |  |  | ncycl = 100000; | 
| 40 |  |  | nmoves = 100; | 
| 41 |  |  | nsamp = 200; | 
| 42 |  |  | twopi = 2.0 * M_PI; | 
| 43 |  |  | dtheta = 0.1; | 
| 44 |  |  | kb = 0.0019872198; | 
| 45 |  |  | beta = 1.0 / (kb * 300.0); | 
| 46 |  |  | z0 = 0.0; | 
| 47 |  |  | deltaz = 0.1; | 
| 48 |  |  | deltaphi = 0.1; | 
| 49 |  |  | kz = kb; | 
| 50 |  |  | ktheta = kb; | 
| 51 |  |  | theta0 = M_PI / 2.0; | 
| 52 |  |  |  | 
| 53 |  |  | nx = (int) (2.5 * domsizey / sqrt(3.0) / nnd) + 1; | 
| 54 |  |  | ny = (int) (domsizex / nnd) + 1; | 
| 55 |  |  |  | 
| 56 |  |  | which = 0; | 
| 57 |  |  | xlat = 0; | 
| 58 |  |  | for(i=1;i<=nx;i++) | 
| 59 |  |  | { | 
| 60 |  |  | if ((i*sqrt(3.0)*nnd)<domsizex) | 
| 61 |  |  | { | 
| 62 |  |  | xlat = xlat + 2; | 
| 63 |  |  | ylat = 0; | 
| 64 |  |  | for(j=1;j<=ny;j++) | 
| 65 |  |  | { | 
| 66 |  |  | if((j*nnd)<domsizey) | 
| 67 |  |  | { | 
| 68 |  |  | which = which + 1; | 
| 69 |  |  | x[which] = i * sqrt(3.0) * nnd; | 
| 70 |  |  | y[which] = j * nnd; | 
| 71 |  |  | myran = drand48(); | 
| 72 |  |  | phi[which] = myran * twopi; | 
| 73 |  |  | myran = drand48(); | 
| 74 |  |  | theta[which] = acos(2.0*myran-1.0); | 
| 75 |  |  | myran = drand48(); | 
| 76 |  |  | z[which]=z0 + (2.0*myran-1.0)*deltaz; | 
| 77 |  |  | mu[which] = strength; | 
| 78 |  |  |  | 
| 79 |  |  | which = which + 1; | 
| 80 |  |  | x[which] = nnd* sqrt(3.0) * (2.0*i+1.0) / 2.0; | 
| 81 |  |  | y[which] = nnd* ( 2.0*j+1.0 ) / 2.0; | 
| 82 |  |  | myran = drand48(); | 
| 83 |  |  | phi[which] = myran * twopi; | 
| 84 |  |  | myran = drand48(); | 
| 85 |  |  | theta[which] = acos(2.0*myran-1.0); | 
| 86 |  |  | myran = drand48(); | 
| 87 |  |  | z[which] = z0 + (2.0*myran-1.0) * deltaz; | 
| 88 |  |  | mu[which] = strength; | 
| 89 |  |  | ylat = ylat + 2; | 
| 90 |  |  | } | 
| 91 |  |  | } | 
| 92 |  |  | } | 
| 93 |  |  | } | 
| 94 |  |  |  | 
| 95 |  |  | nsites= which; | 
| 96 |  |  |  | 
| 97 |  |  | en=toterg(); | 
| 98 |  |  | printf("\nthe initial energy is : \t%f\n\n",en); | 
| 99 |  |  |  | 
| 100 |  |  | attemp = 0; | 
| 101 |  |  | nacc = 0; | 
| 102 |  |  |  | 
| 103 |  |  | adjust(); | 
| 104 |  |  |  | 
| 105 |  |  | for(icycl=1;icycl<=ncycl;icycl++) | 
| 106 |  |  | { | 
| 107 |  |  | for(imove=1;imove<=nmoves;imove++) | 
| 108 |  |  | { | 
| 109 |  |  | mcmove(); | 
| 110 |  |  | } | 
| 111 |  |  |  | 
| 112 |  |  | if((icycl%nsamp) == 0) | 
| 113 |  |  | { | 
| 114 |  |  | store(outFile); | 
| 115 |  |  | getmag(); | 
| 116 |  |  | printf("mag=%f\t%f\t%f\t%f\n", magx, magy, magz, magmag); | 
| 117 |  |  | } | 
| 118 |  |  |  | 
| 119 |  |  | if( (icycl%(ncycl/5))==0 ) | 
| 120 |  |  | { | 
| 121 |  |  | printf("\n=====> Done\t%d\tout of\t%d\n", icycl, ncycl); | 
| 122 |  |  | adjust(); | 
| 123 |  |  | } | 
| 124 |  |  | } | 
| 125 |  |  |  | 
| 126 |  |  | if(ncycl!=0) | 
| 127 |  |  | { | 
| 128 |  |  | if(attemp!=0) | 
| 129 |  |  | { | 
| 130 |  |  | printf("Number of att. to disl. a part. :%d\nsuccess: %d(=%f%)\n\n", attemp, nacc, 100*(double)(nacc)/(double)(attemp)); | 
| 131 |  |  | } | 
| 132 |  |  | ent=toterg(); | 
| 133 |  |  | if(fabs(ent-en)>1e-6) printf("\n###### PROBLEMS ENERGY ###############\n"); | 
| 134 |  |  | printf("\nTotal energy end of simulation : %f\nrunning energy : %f\ndifference : %f\n\n", ent, en, ent-en); | 
| 135 |  |  | } | 
| 136 |  |  | fclose(outFile); | 
| 137 |  |  | return 0; | 
| 138 |  |  | } | 
| 139 |  |  |  | 
| 140 |  |  | double toterg() | 
| 141 |  |  | { | 
| 142 |  |  | double eneri(double, double, double, double, double, int, int); | 
| 143 |  |  |  | 
| 144 |  |  | double xi, yi, zi, phii, thetai, eni; | 
| 145 |  |  | int i, jb; | 
| 146 |  |  | double ener=0.0; | 
| 147 |  |  | for(i=1;i<=nsites;i++) | 
| 148 |  |  | { | 
| 149 |  |  | xi = x[i]; | 
| 150 |  |  | yi = y[i]; | 
| 151 |  |  | zi = z[i]; | 
| 152 |  |  | phii = phi[i]; | 
| 153 |  |  | thetai = theta[i]; | 
| 154 |  |  | jb = i; | 
| 155 |  |  | eni=eneri(xi, yi, zi, phii, thetai, i, jb); | 
| 156 |  |  | ener = ener + eni; | 
| 157 |  |  | } | 
| 158 |  |  | return ener; | 
| 159 |  |  |  | 
| 160 |  |  | } | 
| 161 |  |  |  | 
| 162 |  |  | void getmag( ) | 
| 163 |  |  | { | 
| 164 |  |  | double  thetai, phii; | 
| 165 |  |  | int i; | 
| 166 |  |  |  | 
| 167 |  |  | magx = 0.0; | 
| 168 |  |  | magy = 0.0; | 
| 169 |  |  | magz = 0.0; | 
| 170 |  |  |  | 
| 171 |  |  | for(i=1;i<=nsites;i++) | 
| 172 |  |  | { | 
| 173 |  |  | phii = phi[i]; | 
| 174 |  |  | thetai = theta[i]; | 
| 175 |  |  | magx = magx + mu[i] * cos(phii) * sin(thetai); | 
| 176 |  |  | magy = magy + mu[i] * sin(phii) * sin(thetai); | 
| 177 |  |  | magz = magz + mu[i] * cos(thetai); | 
| 178 |  |  | } | 
| 179 |  |  |  | 
| 180 |  |  | magx = magx / (double)(nsites); | 
| 181 |  |  | magy = magy / (double)(nsites); | 
| 182 |  |  | magz = magz / (double)(nsites); | 
| 183 |  |  | magmag = sqrt (magx*magx+magy*magy+magz*magz); | 
| 184 |  |  | } | 
| 185 |  |  |  | 
| 186 |  |  | double eneri(double xi, double yi, double zi, double phii, double thetai, int i, int jb) | 
| 187 |  |  | { | 
| 188 |  |  |  | 
| 189 |  |  | double uxi, uyi, uzi, dx, dy, dz, r, r2, r3, r5, uxj, uyj, uzj, rcut; | 
| 190 |  |  | double udotu, rdotui, rdotuj, vij, pre, vint; | 
| 191 |  |  | double eni; | 
| 192 |  |  | int j; | 
| 193 |  |  |  | 
| 194 |  |  | pre = 14.38362; | 
| 195 |  |  |  | 
| 196 |  |  | rcut = 30.0; | 
| 197 |  |  |  | 
| 198 |  |  | eni = 0.0; | 
| 199 |  |  | uxi = mu[i] * cos(phii) * sin(thetai); | 
| 200 |  |  | uyi = mu[i] * sin(phii) * sin(thetai); | 
| 201 |  |  | uzi = mu[i] * cos(thetai); | 
| 202 |  |  |  | 
| 203 |  |  | for(j=jb;j<=nsites;j++) | 
| 204 |  |  | { | 
| 205 |  |  | if(j!=i) | 
| 206 |  |  | { | 
| 207 |  |  | dx = x[j]-xi; | 
| 208 |  |  | if(fabs(dx)>(domsizex/2.0)) dx = dx - domsizex*copysign(1.0,dx)*(double)(int)(fabs(dx /domsizex)+0.5); | 
| 209 |  |  | dy = y[j]-yi; | 
| 210 |  |  | if(fabs(dy)>(domsizey/2.0)) dy = dy - domsizey*copysign(1.0,dy)*(double)(int)(fabs(dy /domsizey)+0.5); | 
| 211 |  |  | dz = z[j]-zi; | 
| 212 |  |  |  | 
| 213 |  |  | r2 = dx*dx+dy*dy+dz*dz; | 
| 214 |  |  | r = sqrt(r2); | 
| 215 |  |  | if(r<rcut) | 
| 216 |  |  | { | 
| 217 |  |  | r3 = r2*r; | 
| 218 |  |  | r5 = r2*r3; | 
| 219 |  |  |  | 
| 220 |  |  | uxj = mu[j]*cos(phi[j]) * sin(theta[j]); | 
| 221 |  |  | uyj = mu[j]*sin(phi[j]) * sin(theta[j]); | 
| 222 |  |  | uzj = mu[j] * cos(theta[j]); | 
| 223 |  |  | udotu = uxi*uxj + uyi*uyj + uzi*uzj; | 
| 224 |  |  | rdotui = dx*uxi + dy*uyi + dz*uzi; | 
| 225 |  |  | rdotuj = dx*uxj + dy*uyj + dz*uzj; | 
| 226 |  |  |  | 
| 227 |  |  | vij = pre*(udotu/r3 - 3.0*rdotui*rdotuj/r5); | 
| 228 |  |  | eni = eni + vij; | 
| 229 |  |  | } | 
| 230 |  |  | } | 
| 231 |  |  | } | 
| 232 |  |  | vint = 0.5 * kz * (zi-z0) * (zi-z0) + 0.5 * ktheta * (thetai-theta0) * (thetai-theta0); | 
| 233 |  |  | eni = eni + vint; | 
| 234 |  |  | return eni; | 
| 235 |  |  | } | 
| 236 |  |  |  | 
| 237 |  |  | void adjust() | 
| 238 |  |  | { | 
| 239 |  |  | static int attempp, naccp; | 
| 240 |  |  | double dzo, dphio, dthetao, frac; | 
| 241 |  |  |  | 
| 242 |  |  | if((attemp==0)||(attempp>=attemp)) | 
| 243 |  |  | { | 
| 244 |  |  | naccp = nacc; | 
| 245 |  |  | attempp = attemp; | 
| 246 |  |  | } | 
| 247 |  |  | else | 
| 248 |  |  | { | 
| 249 |  |  | frac = (double)(nacc-naccp)/(double)(attemp-attempp); | 
| 250 |  |  | dthetao = dtheta; | 
| 251 |  |  | dzo = deltaz; | 
| 252 |  |  | dphio = deltaphi; | 
| 253 |  |  | dtheta = dtheta * fabs(frac/0.5); | 
| 254 |  |  | deltaz = deltaz * fabs(frac/0.5); | 
| 255 |  |  | deltaphi = deltaphi * fabs(frac/0.5); | 
| 256 |  |  |  | 
| 257 |  |  | if((dtheta/dthetao)>1.5) dtheta = dthetao*1.5; | 
| 258 |  |  | if((dtheta/dthetao)<0.5) dtheta = dthetao*0.5; | 
| 259 |  |  | if((deltaz/dzo)>1.5) deltaz = dzo * 1.5; | 
| 260 |  |  | if((deltaz/dzo)<0.5) deltaz = dzo * 0.5; | 
| 261 |  |  | if((deltaphi/dphio)>1.5) deltaphi = dphio * 1.5; | 
| 262 |  |  | if((deltaphi/dphio)<0.5) deltaphi = dphio * 0.5; | 
| 263 |  |  | printf("Max. displ. set to :%f\t%f\t%f\t(old :%f\t%f\t%f)\nFrac. acc.:%f\nattempts:%d\nsucces:%d\n\n", deltaz, deltaphi, dtheta, dzo, dphio, dthetao, frac, attemp-attempp, nacc - naccp); | 
| 264 |  |  | naccp = nacc; | 
| 265 |  |  | attempp=attemp; | 
| 266 |  |  | } | 
| 267 |  |  |  | 
| 268 |  |  | } | 
| 269 |  |  |  | 
| 270 |  |  | void mcmove() | 
| 271 |  |  | { | 
| 272 |  |  | int o; | 
| 273 |  |  | double eno, zn, phin, thetan, enn, myran; | 
| 274 |  |  | int jb; | 
| 275 |  |  |  | 
| 276 |  |  | attemp = attemp + 1; | 
| 277 |  |  | jb = 1; | 
| 278 |  |  | myran = drand48(); | 
| 279 |  |  | o = (int)(nsites*myran) + 1; | 
| 280 |  |  | eno=eneri(x[o], y[o], z[o], phi[o], theta[o], o, jb); | 
| 281 |  |  | myran = drand48(); | 
| 282 |  |  | zn = z[o] + (2.0*myran-1.0) * deltaz; | 
| 283 |  |  | myran = drand48(); | 
| 284 |  |  | phin = phi[o] + (2.0*myran-1.0) * deltaphi; | 
| 285 |  |  | myran = drand48(); | 
| 286 |  |  | thetan = theta[o] + (2.0*myran-1.0)*dtheta; | 
| 287 |  |  | enn=eneri(x[o], y[o], zn, phin, thetan, o, jb); | 
| 288 |  |  | myran = drand48(); | 
| 289 |  |  | if(myran<=(exp(-beta*(enn-eno)))) | 
| 290 |  |  | { | 
| 291 |  |  | nacc = nacc + 1; | 
| 292 |  |  | en = en + (enn-eno); | 
| 293 |  |  | z[o] = zn; | 
| 294 |  |  | phi[o] = phin; | 
| 295 |  |  | theta[o] = thetan; | 
| 296 |  |  | } | 
| 297 |  |  | } | 
| 298 |  |  |  | 
| 299 |  |  |  | 
| 300 |  |  | void store(FILE* outFile) | 
| 301 |  |  | { | 
| 302 |  |  | double uxi, uyi, uzi; | 
| 303 |  |  | int i; | 
| 304 |  |  |  | 
| 305 |  |  | fprintf(outFile,"%d\n",nsites); | 
| 306 |  |  | fprintf(outFile,"%d\t%d\n",xlat, ylat); | 
| 307 |  |  |  | 
| 308 |  |  | for(i=1;i<=nsites;i++) | 
| 309 |  |  | { | 
| 310 |  |  | uxi = cos(phi[i])*sin(theta[i]); | 
| 311 |  |  | uyi = sin(phi[i])*sin(theta[i]); | 
| 312 |  |  | uzi = cos(theta[i]); | 
| 313 |  |  | fprintf(outFile,"%s\t%f\t%f\t%f\t%f\t%f\t%f\t%f\n","Ar",x[i],y[i],z[i],phi[i],uxi,uyi,uzi); | 
| 314 |  |  | } | 
| 315 |  |  |  | 
| 316 |  |  | } |