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arXiv · 0907.2548

Universality of collapsing two-dimensional self-avoiding trails

D P Foster
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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 $ν=12/23$, contrary to previous conjectures.

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D P Foster. 2009-08-13. Universality of collapsing two-dimensional self-avoiding trails. https://doi.org/10.1088/1751-8113%2F42%2F37%2F372002

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