Two-dimensional self-avoiding walk with hydrogen-like bonding: Phase diagram and critical behaviour

D. P. Foster, F. Seno

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

The phase diagram for a two-dimensional self-avoiding walk model on the square lattice incorporating attractive short-ranged interactions between parallel sections of walk is derived using numerical transfer matrix techniques. The model displays a collapse transition. In contrast to the standard θ-point model, the transition is first order. The phase diagram in the full fugacity-temperature plane displays an additional transition line, when compared to the θ-point model, as well as a critical transition at finite temperature in the Hamiltonian walk limit.

Original languageEnglish
Pages (from-to)9939-9957
Number of pages19
JournalJournal of Physics A: Mathematical and General
Volume34
Issue number47
Early online date16 Nov 2001
DOIs
Publication statusPublished - 30 Nov 2001
Externally publishedYes

Fingerprint

Self-avoiding Walk
Critical Behavior
Phase Diagram
Hydrogen
Phase diagrams
phase diagrams
hydrogen
Walk
Hamiltonians
Transfer Matrix
Finite Temperature
Square Lattice
Model
First-order
Temperature
temperature
Line
Interaction
interactions

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Two-dimensional self-avoiding walk with hydrogen-like bonding : Phase diagram and critical behaviour. / Foster, D. P.; Seno, F.

In: Journal of Physics A: Mathematical and General, Vol. 34, No. 47, 30.11.2001, p. 9939-9957.

Research output: Contribution to journalArticle

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