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

PABLO SERRA Y JURGEN F. STILCK

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

American Physical Society

Año: 2007 vol. 75 p. 11130 - 11130

1063-651X

We solve a model of self-avoiding walks with up to two monomers per site on the Bethe lattice. This model, inspired in the Domb-Joyce model, was recently proposed to describe the collapse transition observed in interacting polymers  (Krawczyk et al., Phys. Rev. Lett. 96, 240603 (2006)). When  immediate self-reversals are allowed reversion-allowed model, the solution displays a phase diagram with a polymerized phase and a nonpolymerized phase, separated by a phase transition which is of first order for a nonvanishing statisticalweight of doubly occupied sites. If the configurations are restricted forbidding immediate self-reversals (reversion-forbidden model), a richer phase diagram with two distinct polymerized phases is found, displayinga tricritical point and a critical end point.