问题描述
我正在尝试使用Python编写Ising模型。
我认为,我已经正确编码了,但是动画或绘图有问题。我似乎为每种配置绘制了一个新映像,而不是更新现有配置,从而节省了大量我不需要的映像。如果可能的话,我只想更新一个图。
我知道,我正在循环内进行绘图,但是当我要绘制每次迭代时,我不记得这是一个问题。 Seaborn的热图可能有问题吗?
我已附上我的代码:
import numpy as np
import numpy.random as npr
import matplotlib.pyplot as plt
import seaborn as sns
#Constants
J = 1
h = 1
kbT = 1
beta = 1
#Grid
L = 20 #Dimensions
N = L**2 #Total number of grid points
#Initial configuration
spins = 2*np.random.randint(2,size = (L,L))-1
E = []
i = 0
plt.figure()
while i < 100000:
for i in range(1,N):
i += 1
s = tuple(npr.randint(0,L,2)) # Random initial coordinate
# x and y coordinate
(sx,sy) = s
# Periodic boundary condition
sl = (sx-1,sy)
sr = ((sx+1)%L,sy)
sb = (sx,sy-1)
st = (sx,(sy+1)%L)
# Energy
E = spins[s] * ( spins[sl] + spins[sr] + spins[sb] + spins[st] )
if E <= 0 : # If negative,flip
spins[s] *= -1
else:
x = np.exp(-E/kbT) # If positve,check condition
q = npr.rand()
if x > q:
spins[s] *= -1
# Plot (heatmap)
sns.heatmap(spins,cmap = 'magma')
plt.pause(10e-10)
plt.draw()
plt.show()
解决方法
我认为函数ion
和clf
可以解决问题。
import numpy as np
import numpy.random as npr
import matplotlib.pyplot as plt
import seaborn as sns
#Constants
J = 1
h = 1
kbT = 1
beta = 1
#Grid
L = 20 #Dimensions
N = L**2 #Total number of grid points
#Initial configuration
spins = 2*np.random.randint(2,size = (L,L))-1
E = []
i = 0
plt.ion()
plt.figure()
plt.show()
while i < 100000:
for i in range(1,N):
i += 1
s = tuple(npr.randint(0,L,2)) # Random initial coordinate
# x and y coordinate
(sx,sy) = s
# Periodic boundary condition
sl = (sx-1,sy)
sr = ((sx+1)%L,sy)
sb = (sx,sy-1)
st = (sx,(sy+1)%L)
# Energy
E = spins[s] * ( spins[sl] + spins[sr] + spins[sb] + spins[st] )
if E <= 0 : # If negative,flip
spins[s] *= -1
else:
x = np.exp(-E/kbT) # If positve,check condition
q = npr.rand()
if x > q:
spins[s] *= -1
# Plot (heatmap)
plt.clf()
sns.heatmap(spins,cmap = 'magma')
plt.pause(10e-10)
使用功能ion
,您可以进行交互式绘图,因此您需要:
- 使其具有互动性
- 显示情节
- 清除循环中的情节
Here是ion
函数的引用。
clf
的引用是here