Asymptotic behavior of the entropy of chains placed on stripes

Details Asymptotic behavior of the entropy of chains placed on stripes Asymptotic behavior of the entropy of chains placed on stripes

2007-06-27

arxiv.org/abs/0706.3914v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.76.031133

By using the transfer matrix approach, we investigate the asymptotic behavior of the entropy of flexible chains with $M$ monomers each placed on stripes. In the limit of high density of monomers, we study the behavior of the entropy as a function of the density of monomers and the width of the stripe, inspired by recent analytical studies of this problem for the particular case of dimers (M=2). We obtain the entropy in the asymptotic regime of high densities for chains with $M=2,..,9$ monomers, as well as for the special case of polymers, where $M\to\infty$, and find that the results show a regular behavior similar to the one found analytically for dimers. We also verify that in the low-density limit the mean-field expression for the entropy is followed by the results from our transfer matrix calculations.

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