Universality of collapsing two-dimensional self-avoiding trails
Statistical Mechanics
2015-05-13 v2 Soft Condensed Matter
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 , contrary to previous conjectures.
Cite
@article{arxiv.0907.2548,
title = {Universality of collapsing two-dimensional self-avoiding trails},
author = {D P Foster},
journal= {arXiv preprint arXiv:0907.2548},
year = {2015}
}
Comments
Final version, accepted for publication in Journal of Physics A; 9 pages; 3 figures