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