Universality of collapsing two-dimensional self-avoiding trails

D. P. Foster

doi:10.1088/1751-8113/42/37/372002

Universality of collapsing two-dimensional self-avoiding trails

D. P. Foster

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

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

Original language	English
Article number	372002
Number of pages	8
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	42
Issue number	37
Early online date	28 Aug 2009
DOIs	https://doi.org/10.1088/1751-8113/42/37/372002
Publication status	Published - 18 Sept 2009

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title = "Universality of collapsing two-dimensional self-avoiding trails",

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 Bl{\"o}te and Nienhuis (or vertex-interacting self-avoiding walk), which has thermal exponent ν = 12/23, contrary to previous conjectures.",

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AB - 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.

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UR - https://www.scopus.com/pages/publications/70449587182

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Universality of collapsing two-dimensional self-avoiding trails

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