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arXiv · 0802.2335

Solution of a model of SAW's with multiple monomers per site on the Husimi lattice

T. J. Oliveira·J. F. Stilck·P. Serra
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Abstract

We solve a model of self-avoiding walks which allows for a site to be visited up to two times by the walk on the Husimi lattice. This model is inspired in the Domb-Joyce model and was proposed to describe the collapse transition of polymers with one-site interactions only. We consider the version in which immediate self-reversals of the walk are forbidden (RF model). The phase diagram we obtain for the grand-canonical version of the model is similar to the one found in the solution of the Bethe lattice, with two distinct polymerized phases, a tricritical point and a critical endpoint.

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T. J. Oliveira, J. F. Stilck, P. Serra. 2008-02-16. Solution of a model of SAW's with multiple monomers per site on the Husimi lattice. https://doi.org/10.1103/physreve.77.041103

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