Critical behaviour of the bond-interacting self-avoiding walk

D. P. Foster

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


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
Issue number9
Early online date14 Feb 2007
Publication statusPublished - 2 Mar 2007
Externally publishedYes

ASJC Scopus subject areas

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


Dive into the research topics of 'Critical behaviour of the bond-interacting self-avoiding walk'. Together they form a unique fingerprint.

Cite this