Consider a linear chain of N atoms, with atom N adjacent to atom 1 (cyclic boundary condition), as if the chain were bent into a circle. Each atom can be in any of three states, called A, B, and C, except that an atom in state A cannot be adjacent to an atom in state C. Find the entropy per atom of such a chain as N →∞. (Entropy = k lnW, where W is the total number of allowed configurations.) Hint: Define the three-dimensional column vectors v^(j) such that the three elements of v^(j) are the to
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