Solution of a model of self-avoiding walks with multiple monomers per site on the Husimi lattice

TIAGO J. OLIVEIRA; JURGEN F. STILCK; PABLO SERRA

PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS

Año: 2008 vol. 77 p. 41103 - 41103

1063-651X

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