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

Cergy-Pontoise University

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

19 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
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	42
Issue number	37
DOIs	https://doi.org/10.1088/1751-8113/42/37/372002
Publication status	Published - 28 Aug 2009
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
Physics and Astronomy(all)

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10.1088/1751-8113/42/37/372002

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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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DO - 10.1088/1751-8113/42/37/372002

M3 - Article

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Universality of collapsing two-dimensional self-avoiding trails

Abstract

ASJC Scopus subject areas

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