Solution of a model of self-avoiding walks with multiple monomers per site on the Husimi lattice.
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. 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.
Oliveira
Tiago J
TJ
Instituto de Física, Universidade Federal Fluminense, Avenida Litorânea s/n, 24210-346-Niterói, Rio de Janeiro, Brazil. tiagojo@if.uff.br
Stilck
Jürgen F
JF
Serra
Pablo
P