Weighting of topologically different interactions in a model of two-dimensional polymer collapse

Abstract

We study by computer simulation a recently introduced generalised model of self-interacting self-avoiding trails on the square lattice that distinguishes two topologically different types of self-interaction: namely crossings where the trail passes across itself and collisions where the lattice path visits the same site without crossing. This model generalises the canonical interacting self-avoiding trail model of polymer collapse which has a strongly divergent specific heat at its transition point. We confirm the recent prediction that the asymmetry does not affect the universality class for a range of asymmetry. Certainly, where the weighting of collisions outweighs that of crossings this is well supported numerically. When crossings are weighted heavily relative to collisions the collapse transition reverts to the canonical theta-point-like behaviour found in interacting self-avoiding walks.

arXiv comment7 figures

References in corpus (6)

• Collapse transition of self-avoiding trails on the square lattice
• 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
• Collapse of a polymer in two dimensions
• Generalised interacting self-avoiding trails on the square lattice: phase diagram and critical behaviour
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Cited by in corpus (8)

• Loop models with crossings
• Theta-point polymers in the plane and Schramm-Loewner evolution
• Numerical simulation of a lattice polymer model at its integrable point
• Polymer models with competing collapse interactions on Husimi and Bethe lattices
• Semi-flexible interacting self-avoiding trails on the square lattice
• Lattice polymers with two competing collapse interactions
• The role of three-body interactions in two-dimensional polymer collapse
• Winding angle distributions for two-dimensional collapsing polymers