Entropy of dimers chains placed on a one-dimensional lattice with qq-states

• 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.