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

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.

arXiv comment16 pages, including 6 figures

References in corpus (5)

• Correction-to-scaling exponents for two-dimensional self-avoiding walks
• On a Type of Self-Avoiding Random Walk with Multiple Site Weightings and Restrictions
• Polymers with attractive interactions on the Husimi tree
• Critical behaviour of the bond-interacting self-avoiding walk
• Solution of a model of self-avoiding walks with multiple monomers per site on the Bethe lattice

Cited by in corpus (7)

• Grand canonical and canonical solution of self-avoiding walks with up to three monomers per site on the Bethe lattice
• Jamming and percolation of dimers in restricted-valence random sequential adsorption
• Bethe approximation for a DNA-like self-avoiding walk model with variable solvent quality
• Polymer models with competing collapse interactions on Husimi and Bethe lattices
• Bethe lattice solution of a model of SAW's with up to 3 monomers per site and no restriction
• Collapse transition in polymer models with multiple monomers per site and multiple bonds per edge
• Chaotic spin-spin entanglement on a recursive lattice