Critical behaviour of the bond-interacting self-avoiding walk

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The phase diagram for the bond-interacting self-avoiding walk is calculated using transfer matrices on finite strips. The model is shown to have a richer phase diagram than the related Θ-point model. In addition to the standard collapse transition, we find a line of high-order phase transitions, which we conjecture to be in the Berezinskii-Kosterlitz-Thouless (BKT) universality class, terminating in a critical end point.

Original languageEnglish
Pages (from-to)1963-1980
Number of pages18
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
Issue number9
Early online date14 Feb 2007
DOIs
Publication statusPublished - 2 Mar 2007
Externally publishedYes

Fingerprint

Self-avoiding Walk
Critical Behavior
Phase Diagram
Phase diagrams
phase diagrams
Transfer Matrix
End point
stopping
Universality
Strip
Critical point
strip
Phase Transition
Phase transitions
Higher Order
Line
Model
Standards
Class

ASJC Scopus subject areas

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

Cite this

Critical behaviour of the bond-interacting self-avoiding walk. / Foster, D. P.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 40, No. 9, 02.03.2007, p. 1963-1980.

Research output: Contribution to journalArticle

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