Need a clearly explained answer. Consider a random walker in one dimension, whic

Question

Need a clearly explained answer.

Consider a random walker in one dimension, which can take right or left steps with equal probability. Assume that the walker starts at the location k > 0 and there is an absorbing wall at the point labeled as 0, that means if the walker reaches 0 the process stops and she stays there. Calculate the probability of reaching point m > 0 in N steps. (Hint: think about the reflection principle). By taking the continuum limit of the previous problem, find the solution to the diffusion in the presence of an absorbing wall at the origin.

Explanation / Answer

This pdf has a great explanation to the problem

http://www.pas.rochester.edu/~tobin/teaching/phy402sp06/chandrashekhar.pdf

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