Critical behaviour of the bond-interacting self-avoiding walk

D. P. Foster

doi:10.1088/1751-8113/40/9/004

Critical behaviour of the bond-interacting self-avoiding walk

D. P. Foster

Cergy-Pontoise University

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

18 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 language	English
Pages (from-to)	1963-1980
Number of pages	18
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	40
Issue number	9
Early online date	14 Feb 2007
DOIs	https://doi.org/10.1088/1751-8113/40/9/004
Publication status	Published - 2 Mar 2007
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
General Physics and Astronomy

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10.1088/1751-8113/40/9/004

Cite this

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AB - 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.

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Critical behaviour of the bond-interacting self-avoiding walk

Abstract

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