Solution of a model of self-avoiding walks with multiple monomers per site on the Bethe lattice
Abstract
We solve a model of self-avoiding walks with up to two monomers per site on the Bethe lattice. This model, inspired on the Domb-Joyce model, was recently proposed to describe the collapse transition observed in interacting polymers [J. Krawczyk et al, Phys. Rev. Lett. 96, 240603 (2006)]. When immediate self-reversals are allowed (RA model), the solution displays a phase diagram with a polymerized phase and a non-polymerized phase, separated by a phase transition which is of first order for a non-vanishing statistical weight of doubly occupied sites. If the configurations are restricted forbidding immediate self-reversals (RF model), a richer phase diagram is found, displaying a tricritical point and a critical endpoint.
Keywords
Cite
@article{arxiv.cond-mat/0609518,
title = {Solution of a model of self-avoiding walks with multiple monomers per site on the Bethe lattice},
author = {Pablo Serra and Juergen F. Stilck},
journal= {arXiv preprint arXiv:cond-mat/0609518},
year = {2009}
}
Comments
8 pages, 5 figures. Typos corrected, discussion extended, one reference added, style of graphs changed. Version accepted for publication in Phys. Rev. E