Polymers with attractive interactions on the Husimi tree

Details Polymers with attractive interactions on the Husimi tree Polymers with attractive interactions on the Husimi tree

2004-06-16

arxiv.org/abs/cond-mat/0406363v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 6 figures

Scientific paper

10.1088/0305-4470/37/37/004

We obtain the solution of models of self-avoiding walks with attractive interactions on Husimi lattices built with squares. Two attractive interactions are considered: between monomers on first-neighbor sites and not consecutive along a walk and between bonds located on opposite edges of elementary squares. For coordination numbers q>4, two phases, one polymerized the other non-polymerized, are present in the phase diagram. For small values of the attractive interaction the transition between those phases is continuous, but for higher values a first-order transition is found. Both regimes are separated by a tricritical point. For q=4 a richer phase diagram is found, with an additional (dense) polymerized phase, which is stable for for sufficiently strong interactions between bonds. The phase diagram of the model in the three-dimensional parameter space displays surfaces of continuous and discontinuous phase transitions and lines of tricritical points, critical endpoints and triple points.

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