EXERCISE 5.2 Consider an asymmetric random walk on an open- ended lattice with four lattice sites. The

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EXERCISE 5.2 Consider an asymmetric random walk on an open- ended lattice with four lattice sites. The transition rates are W1,2 W4,3 1, W2,3 = W3,4 =, W2,1 = w3,2 =, and w = 0 for all other transitions.

(a) Write the transition matrix, W, and show that this system obeys detailed balance.

(b) Compute V and find its eigenvalues and eigenvectors.

(c) Write P(n, t) for the case P(n, 0) = 8,1. What is P(2, t)?

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A Modern Course In Statistical Physics

ISBN: 9780471595205

2nd Edition

Authors: Linda E. Reichl

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Question Posted: Sep 18, 2024 08:00 AM

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EXERCISE 5.2 Consider an asymmetric random walk on an open- ended lattice with four lattice sites. The

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A Modern Course In Statistical Physics

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