Esempio n. 1
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    A.append(arr[::2,1])
    arrE.append(arr[::2,2:]/V)
    arrM.append(arr[1::2,2:]/V)
    E.append(np.mean(arrE[i],axis=1))
    M.append(np.mean(arrM[i],axis=1))
    errE.append(errorAll(binning,arrE[i],Binning_K[i]))
    errM.append(errorAll(binning,arrM[i],Binning_K[i]))

print 'Finished calculations.'

# PLOTS ###################################################################################################
print '\n==Plots=='

p.new(title='Mean energy',xlabel='Temperature',ylabel='Energy')
p.plot(T_exact,E_exact,label='L = 4, exact')
for i in range(len(Ising_L)): p.errorbar(T[i], E[i], yerr=errE[i], label='L=%s, MC'%Ising_L[i])

p.new(title='Mean absolute magnetization',xlabel='Temperature',ylabel=r'$\vert Magnetization \vert$')
p.plot(T_exact,M_exact,label='L = 4, exact')
for i in range(len(Ising_L)): p.errorbar(T[i], M[i], yerr=errM[i], label='L=%s, MC'%Ising_L[i])
#p.make(ncols=1,show=False)

for i in range(len(Ising_L)):
    p.new(title='Frequency of energies (L=%s)'%Ising_L[i],xlabel='Energy',ylabel='Temperature')
    temp = (T[i]*np.ones_like(arrE[i]).T).T
    H, xedges, yedges = np.histogram2d(temp.flatten(), arrE[i].flatten(), bins=(len(T[i]),100))
    p.imshow(H, extent=[yedges[0], yedges[-1], xedges[0], xedges[-1]], interpolation='nearest',aspect='auto',origin='lower',norm=LogNorm())
    
    p.new(title='Frequency of magnetizations (L=%s)'%Ising_L[i],xlabel='Absolute magnetization',ylabel='Temperature')
    temp = (T[i]*np.ones_like(arrM[i]).T).T
    H, xedges, yedges = np.histogram2d(temp.flatten(), arrM[i].flatten(), bins=(len(T[i]),100))
Esempio n. 2
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    arrE.append(arr[::2,2:]/V)
    arrM.append(arr[1::2,2:]/V)
    E.append(np.mean(arrE[i],axis=1))
    M.append(np.mean(arrM[i],axis=1))
    errE.append(errorAll(binning,arrE[i],Binning_K[i]))
    errM.append(errorAll(binning,arrM[i],Binning_K[i]))
    U.append(binderpar(arrM[i]))

print 'Finished calculations.'

# PLOTS ###################################################################################################
print '\n==Plots=='

p.new(title='Mean energy',xlabel='Temperature',ylabel='Energy')
p.plot(T_exact,E_exact,label='for L = 4, exact')
for i in range(len(Ising_L)): p.errorbar(T[i], E[i], yerr=errE[i], label='L=%s, MC'%Ising_L[i])

p.new(title='Mean absolute magnetization',xlabel='Temperature',ylabel=r'$\vert Magnetization \vert$')
p.plot(T_exact,M_exact,label='for L = 4, exact')
for i in range(len(Ising_L)): p.errorbar(T[i], M[i], yerr=errM[i], label='L=%s, MC'%Ising_L[i])
#p.make(ncols=1,show=False)

for i in range(len(Ising_L)):
    p.new(title='Frequency of energies (L=%s)'%Ising_L[i],xlabel='Energy',ylabel='Temperature')
    temp = (T[i]*np.ones_like(arrE[i]).T).T
    H, xedges, yedges = np.histogram2d(temp.flatten(), arrE[i].flatten(), bins=(len(T[i]),100))
    p.imshow(H, extent=[yedges[0], yedges[-1], xedges[0], xedges[-1]], interpolation='nearest',aspect='auto',origin='lower',norm=LogNorm())
    
    p.new(title='Frequency of magnetizations (L=%s)'%Ising_L[i],xlabel='Absolute magnetization',ylabel='Temperature')
    temp = (T[i]*np.ones_like(arrM[i]).T).T
    H, xedges, yedges = np.histogram2d(temp.flatten(), arrM[i].flatten(), bins=(len(T[i]),100))
Esempio n. 3
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    MC_errmE = binningAll(arrayE)
    MC_errmM = binningAll(arrayM)
    MC_errmMabs = binningAll(abs(arrayM))

    print 'Finished error calculation.'
'''
=== PLOTS ===
'''
p = Plotter(show=True, pdf=False, pgf=False, name='ising')

p.new(name='Mean energy', xlabel='Temperature', ylabel='Energy')
if useExact:
    p.plot(T, meanE, label='exact')
if useMC:
    p.errorbar(T, MC_meanE, yerr=MC_errmE, label='metropolis')

p.new(name='Mean magnetization', xlabel='Temperature', ylabel='Magnetization')
if useExact:
    p.plot(T, meanM, label='exact')
if useMC:
    p.errorbar(T, MC_meanM, yerr=MC_errmM, label='metropolis')

p.new(name='Mean absolute magnetization',
      xlabel='Temperature',
      ylabel=r'\vertMagnetization\vert')
if useExact:
    p.plot(T, meanMabs, label='exact')
if useMC:
    p.errorbar(T, MC_meanMabs, yerr=MC_errmMabs, label='metropolis')
Esempio n. 4
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    MC_errmE = errorAll(binning,arrayE)
    MC_errmM = errorAll(binning,arrayM)
    MC_errmMabs = errorAll(binning,abs(arrayM))
    
    print 'Finished error calculation.'

'''
=== PLOTS ===
'''

p.new(title='Mean energy',xlabel='Temperature',ylabel='Energy')
if useExact:
    p.plot(T,meanE,label='exact')
if useMC:
    p.errorbar(T, MC_meanE, yerr=MC_errmE, label='metropolis')

p.new(title='Mean magnetization',xlabel='Temperature',ylabel='Magnetization')
if useExact:
    p.plot(T,meanM,label='exact')
if useMC:
    p.errorbar(T, MC_meanM, yerr=MC_errmM, label='metropolis')

p.new(title='Mean absolute magnetization',xlabel='Temperature',ylabel=r'$\vert Magnetization \vert$')
if useExact:
    p.plot(T,meanMabs,label='exact')
if useMC:
    p.errorbar(T, MC_meanMabs, yerr=MC_errmMabs, label='metropolis')

p.new(title='Energy(magnetization)',xlabel='Magnetization',ylabel='Energy')
if useExact:
Esempio n. 5
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    arrE.append(arr[::2, 2:] / V)
    arrM.append(arr[1::2, 2:] / V)
    E.append(np.mean(arrE[i], axis=1))
    M.append(np.mean(arrM[i], axis=1))
    errE.append(errorAll(binning, arrE[i], Binning_K[i]))
    errM.append(errorAll(binning, arrM[i], Binning_K[i]))

print 'Finished calculations.'

# PLOTS ###################################################################################################
print '\n==Plots=='

p.new(title='Mean energy', xlabel='Temperature', ylabel='Energy')
p.plot(T_exact, E_exact, label='L = 4, exact')
for i in range(len(Ising_L)):
    p.errorbar(T[i], E[i], yerr=errE[i], label='L=%s, MC' % Ising_L[i])

p.new(title='Mean absolute magnetization',
      xlabel='Temperature',
      ylabel=r'$\vert Magnetization \vert$')
p.plot(T_exact, M_exact, label='L = 4, exact')
for i in range(len(Ising_L)):
    p.errorbar(T[i], M[i], yerr=errM[i], label='L=%s, MC' % Ising_L[i])
#p.make(ncols=1,show=False)

for i in range(len(Ising_L)):
    p.new(title='Frequency of energies (L=%s)' % Ising_L[i],
          xlabel='Energy',
          ylabel='Temperature')
    temp = (T[i] * np.ones_like(arrE[i]).T).T
    H, xedges, yedges = np.histogram2d(temp.flatten(),
Esempio n. 6
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    arrM.append(arr[1::2, 2:] / V)
    E.append(np.mean(arrE[i], axis=1))
    M.append(np.mean(arrM[i], axis=1))
    errE.append(errorAll(binning, arrE[i], Binning_K[i]))
    errM.append(errorAll(binning, arrM[i], Binning_K[i]))
    U.append(binderpar(arrM[i]))

print "Finished calculations."

# PLOTS ###################################################################################################
print "\n==Plots=="

p.new(title="Mean energy", xlabel="Temperature", ylabel="Energy")
p.plot(T_exact, E_exact, label="for L = 4, exact")
for i in range(len(Ising_L)):
    p.errorbar(T[i], E[i], yerr=errE[i], label="L=%s, MC" % Ising_L[i])

p.new(title="Mean absolute magnetization", xlabel="Temperature", ylabel=r"$\vert Magnetization \vert$")
p.plot(T_exact, M_exact, label="for L = 4, exact")
for i in range(len(Ising_L)):
    p.errorbar(T[i], M[i], yerr=errM[i], label="L=%s, MC" % Ising_L[i])
# p.make(ncols=1,show=False)

for i in range(len(Ising_L)):
    p.new(title="Frequency of energies (L=%s)" % Ising_L[i], xlabel="Energy", ylabel="Temperature")
    temp = (T[i] * np.ones_like(arrE[i]).T).T
    H, xedges, yedges = np.histogram2d(temp.flatten(), arrE[i].flatten(), bins=(len(T[i]), 100))
    p.imshow(
        H,
        extent=[yedges[0], yedges[-1], xedges[0], xedges[-1]],
        interpolation="nearest",