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

Pablo Serra·Juergen F. Stilck
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Abstract

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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Pablo Serra, Juergen F. Stilck. 2006-11-23. Solution of a model of self-avoiding walks with multiple monomers per site on the Bethe lattice. https://doi.org/10.1103/physreve.75.011130

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