# Code 02

MB, BE & FD Statistics
Anamitra
python
a month ago
1.5 kB
7
Indexable
Never
BSC 6th Sem Python LNB
```import numpy as np
import matplotlib.pyplot as plt

plt.style.use('fivethirtyeight')
plt.rcParams['figure.figsize'] = (18, 12)

E = np.linspace(-0.5, 0.5, 1001)   # Energy Range
T = np.linspace(100, 1100, 6)   # Temperature In Kelvin
e = 1.6e-19   # Electronic Charge
K = 1.38e-23   # Boltzmann Constant
U = 0   # Chemical Potential
a = -1   # Parameter for adjusting the distribution functions

# Function to calculate the distribution function f(E)
def f(T,a):
return 1/((np.exp(((E-U)*e)/(K*T)))+a)

# Loop to plot the Bose-Einstein, Maxwell-Boltzmann, and Fermi-Dirac distributions
title = ['BE Distribution', 'MB Distribution', 'FD Distribution']
while a<=1:
plt.subplot(2,2,a+2)
for i in range(len(T)):
plt.plot(E, f(T[i],a), label=f'T = {T[i]} K')
plt.ylim(0,4)
plt.legend(title='Temperature', fontsize=14)
plt.xlabel('Energy(eV)', fontsize=14)
plt.ylabel(' Value Of The Distribution Function [f(E)]', fontsize=14)
plt.title(title[a+1])
a = a+1

# Subplot to compare all three distribution functions at 700 K
label = ['BE Distribution', 'MB Distribution', 'FD Distribution']
plt.subplot(2,2,4)
for i in [-1,0,1]:
plt.plot(E,f(700,i), label=label[i+1])
plt.ylim(0,4)
plt.legend(title='Distribution Laws', fontsize=14)
plt.xlabel('Energy(eV)', fontsize=14)
plt.ylabel(' Value Of The Distribution Function [f(E)]', fontsize=14)
plt.title('Comparison Of These Three Distribution Functions At 700K', fontsize=16)
plt.show()```