Another version of the Ehrenfest model for diffusion starts with k molecules of gas in each urn.
Question:
Another version of the Ehrenfest model for diffusion starts with k molecules of gas in each urn. One of the 2k molecules is picked at random just as in the Ehrenfest model in the text. The chosen molecule is then moved to the other urn with a fixed probability p and is placed back in its urn with probability 1– p.
a. Let k = 3. Find the transition matrix for this model.
b. Let k = 3 and p = 1 / 2. If there are currently no molecules in urn A, what is the probability that there will be 3 molecules in urn A after 5 selections?
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a To find the transition matrix for this model we need to consider all possible states of the system and calculate the probabilities of transitioning ...View the full answer
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Related Book For 
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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