Solution of a model of SAW's with multiple monomers per site on the Husimi lattice
Statistical Mechanics
2009-11-13 v1 Soft Condensed Matter
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.
Keywords
Cite
@article{arxiv.0802.2335,
title = {Solution of a model of SAW's with multiple monomers per site on the Husimi lattice},
author = {T. J. Oliveira and J. F. Stilck and P. Serra},
journal= {arXiv preprint arXiv:0802.2335},
year = {2009}
}
Comments
16 pages, including 6 figures