Article ID Journal Published Year Pages File Type
973822 Physica A: Statistical Mechanics and its Applications 2015 6 Pages PDF
Abstract

•Polymer model.•Matrix transfer and Monte Carlo algorithm.•Entropy of dimers chains with qq-states.

We calculate the entropy of a chain of dimers placed on a one-dimensional lattice as a function of the density of monomers. We consider NpNp dimer chains with a number of monomers M=2M=2 which may assume qq-states (orientations) on the one-dimensional lattice. In this work we treated a simple model which has exact solutions both in the micro-canonical and grand-canonical formalisms. The analytic result in the micro-canonical and grand-canonical ensembles were successfully confirmed by a Monte Carlo algorithm.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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