Universality of collapsing two-dimensional self-avoiding trails

Details Universality of collapsing two-dimensional self-avoiding trails Universality of collapsing two-dimensional self-avoiding trails

2009-07-15

arxiv.org/abs/0907.2548v2

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

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.

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