Universality of collapsing two-dimensional self-avoiding trails

Research output: Contribution to journalArticle

17 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 languageEnglish
Article number372002
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number37
DOIs
Publication statusPublished - 28 Aug 2009
Externally publishedYes

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Collapsing
Universality
Self-avoiding Walk
Transfer Matrix
apexes
Exponent
exponents
Vertex of a graph
Model
Class
Hot Temperature

ASJC Scopus subject areas

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

Cite this

Universality of collapsing two-dimensional self-avoiding trails. / Foster, D. P.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 42, No. 37, 372002, 28.08.2009.

Research output: Contribution to journalArticle

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