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Journal Articles Journal of Physics A: Mathematical and Theoretical Year : 2009

Universality of collapsing two-dimensional self-avoiding trails

Abstract

Results of a numerically exact transfer matrix calculation coupled with a finite-size scaling analysis 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 Bl\"{o}te and Nienhuis (or vertex-interacting self-avoiding walk), which has thermal exponent $\nu=12/23$, contrary to previous conjectures.

Dates and versions

hal-00404443 , version 1 (16-07-2009)

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D P Foster. Universality of collapsing two-dimensional self-avoiding trails. Journal of Physics A: Mathematical and Theoretical, 2009, 42 (37), pp.372002. ⟨10.1088/1751-8113/42/37/372002⟩. ⟨hal-00404443⟩
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