4 research outputs found
Polymers with attractive interactions on the Husimi tree
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.Comment: 7 pages, 6 figure