Python simulation of random walker in one d for initial starting position is zero

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#set up the data we will needed
import numpy as np 

import matplotlib.pyplot as plt

X0 = 0

T  = 1   #total time 

dt = .001 #time steps 

N  = int(T/dt) # no of time steps 

D  = 1   

np.random.seed(1)
    
t = dt * np.arange(N)   



dx = np.sqrt(2 * D * dt)*np.random.randn(N) 


x  = np.zeros(N)

for i in range(N-1):
    N =100000
    x[i+1] = x[i] + dx[i]
 
    
plt.plot(t, x )

plt.show()

What I have tried:

so i want to get repeted multiple curve in it and want to apply for loop . but i don't have idea how to apply this .

Posted 10-Jan-23 9:06am

Astroaspirent

Updated 10-Jan-23 10:49am

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Comments

CPallini 10-Jan-23 16:36pm

What 'multiple curves' do you want?
Your code produces the graph of the random walk. What else should it produce?

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CPallini · Accepted Answer · 2023-01-10T10:49:00

Do you mean something like this

Python

#set up the data we will needed
import numpy as np
import matplotlib.pyplot as plt

W = 5 # walkers

X0 = 0

T  = 1   #total time 

dt = .001 #time steps 

N  = int(T/dt) # no of time steps 

D  = 1

np.random.seed(10)

t = dt * np.arange(N)

dx = np.sqrt(2 * D * dt)*np.random.randn(N,W)

x  = np.zeros((N,W))

for w in range(W):
  for i in range(N-1):
    x[i+1][w] = x[i][w] + dx[i][w]

plt.plot(t, x )

plt.show()

?

Python simulation of random walker in one d for initial starting position is zero

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Python simulation of random walker in one d for initial starting position is zero

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