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A zipper with N links. Each link has 2 states: closed (energy = 0) and open...

A zipper with N links. Each link has 2 states: closed (energy = 0) and open (energy = E). We require that the zipper can only unzip from the left end, and that the link number s can only open if all links to the left (1,2,..., s-1) are already open.

(a) What is the partition function for the zipper?

(b) What is the average number of open links in the limit (i) >> τ and (ii) << τ

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Answer #1

Solution: (a)To obtain a feel for the problem we will begin by considering the case of N-2. If we have two links connected su(b) To calculate the average number of open links, wewl calculate the average energy of our various configurations and divideComputing the average energy, we find log Z 1 az 1 θ 1-e-MN41)s (E) a Ee Now, if we take Be >>1, then we can take the followi

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