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

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

2008-02-16

arxiv.org/abs/0802.2335v1

Phys. Rev. E 77, 041103 (2008)

Physics

Condensed Matter

Statistical Mechanics

16 pages, including 6 figures

Scientific paper

10.1103/PhysRevE.77.041103

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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