Universality of collapsing two-dimensional self-avoiding trails

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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 Blöte and Nienhuis (or vertex-interacting self-avoiding walk), which has thermal exponent ν = 12/23, contrary to previous conjectures.

Original languageEnglish
Article number372002
Number of pages8
JournalJournal of Physics A: Mathematical and Theoretical
Issue number37
Early online date28 Aug 2009
Publication statusPublished - 18 Sept 2009


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