In Chapter 34, we will model particle diffusion as a random walk in one dimension. In such
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In Chapter 34, we will model particle diffusion as a random walk in one dimension. In such processes, the probability of moving an individual step in the +x or −x direction is equal to one half. Imagine starting at x = 0 and performing a random walk in which 20 steps are taken.
a. What is the farthest distance the particle can possibly move in the +x direction? What is the probability of this occurring?
b. What is the probability the particle will not move at all?
c. What is the probability of the particle moving half the maximum distance in the x direction?
d. Plot the probability of the particle moving a given distance versus distance. What does the probability distribution look like? Is the probability normalized?
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a The problem of a random walk is just like the cointoss example discussed in the text and which ser...View the full answer
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