Mean field self consistency single site.py
From Werner KRAUTH
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pylab.savefig('mean_field_self_consistency_Ising.png') | pylab.savefig('mean_field_self_consistency_Ising.png') | ||
pylab.show() | pylab.show() | ||
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+ | [[Category:ICFP Lectures]] |
Revision as of 16:01, 8 November 2016
import random, math, pylab dim = 2 q = 2.0 * dim Tc = 2.0 * dim m_vec = [1.0] T_vec = [0] for iter in range(-1000, 1000): t = iter / float(1100.0) beta = (t * Tc + Tc) ** (-1) T_vec.append(1.0 / beta) m = 0.1 for iter2 in range(1000): m = math.tanh(beta * q * m) m_vec.append(m) pylab.plot(T_vec, m_vec) pylab.title('Weiss self-consistency for the Ising model in $d$ = ' + str(dim) + ' dimensions') pylab.xlabel('$T$ (Temperature)', fontsize=18) pylab.ylabel('$m$ (magnetization per site)', fontsize=18) pylab.savefig('mean_field_self_consistency_Ising.png') pylab.show()