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

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

2006-09-20

arxiv.org/abs/cond-mat/0609518v2

Phys. Rev. E 75, 011130 (2007)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 5 figures. Typos corrected, discussion extended, one reference added, style of graphs changed. Version accepted for p

Scientific paper

10.1103/PhysRevE.75.011130

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.

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