Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-09-20
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.
Serra Pablo
Stilck Juergen F.
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