Universality of collapsing two-dimensional self-avoiding trails

Abstract

Results of a numerically exact transfer matrix calculation for the model of Interacting Self-Avoiding Trails are presented. The results lead to the conclusion that, at the collapse transition, Self-Avoiding Trails are in the same universality class as the O(n=0) model of Blote and Nienhuis (or vertex-interacting self-avoiding walk), which has thermal exponent $\nu =12/23$, contrary to previous conjectures.

Final version, accepted for publication in Journal of Physics A; 9 pages; 3 figures

References in corpus (5)

• Collapse transition of self-avoiding trails on the square lattice
• On a Type of Self-Avoiding Random Walk with Multiple Site Weightings and Restrictions
• Statistical mechanics of RNA folding: a lattice approach
• Critical behaviour of the bond-interacting self-avoiding walk
• Bethe approximation for a DNA-like self-avoiding walk model with variable solvent quality

Cited by in corpus (13)

• Loop models with crossings
• Identification of a polymer growth process with an equilibrium multi-critical collapse phase transition: the meeting point of swollen, collapsed and crystalline polymers
• Weighting of topologically different interactions in a model of two-dimensional polymer collapse
• The Generic Critical Behaviour for 2D Polymer Collapse
• Generalised interacting self-avoiding trails on the square lattice: phase diagram and critical behaviour
• Self-avoiding trails with nearest neighbour interactions on the square lattice
• Nature of the collapse transition in interacting self-avoiding trails
• Surface critical behaviour of the vertex-interacting self-avoiding walk on the square lattice
• Surface critical behaviour of the Interacting Self-Avoiding Trail on the square lattice
• Polymer models with competing collapse interactions on Husimi and Bethe lattices
• Lattice polymers with two competing collapse interactions
• Collapse transition in polymer models with multiple monomers per site and multiple bonds per edge
• Adsorption of interacting self-avoiding trails in two dimensions