Generalised interacting self-avoiding trails on the square lattice: phase diagram and critical behaviour

Abstract

A generalised model for interacting self-avoiding trails on the square lattice is presented and studied using numerical transfer matrix methods. The model differentiates between on-site double visits corresponding to collisions, and crossings. Rigidity is also included in the model. The model includes the Nienhuis O(n=0) model and the interacting self-avoiding trail model as special cases. It is shown that the generic type of collapse found is the same as the pure interacting self-avoiding trail model.

submitted Phys Rev E

References in corpus (2)

• Universality of collapsing two-dimensional self-avoiding trails
• Identification of a polymer growth process with an equilibrium multi-critical collapse phase transition: the meeting point of swollen, collapsed and crystalline polymers

Cited by in corpus (7)

• Loop models with crossings
• Weighting of topologically different interactions in a model of two-dimensional polymer collapse
• Nature of the collapse transition in interacting self-avoiding trails
• Polymer models with competing collapse interactions on Husimi and Bethe lattices
• Semi-flexible interacting self-avoiding trails on the square lattice
• The role of three-body interactions in two-dimensional polymer collapse
• Semianalytical solutions of Ising-like and Potts-like magnetic polymers on the Bethe lattice