Surface critical behaviour of the vertex-interacting self-avoiding walk on the square lattice

D. P. Foster, C. Pinettes

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The phase diagram and surface critical behaviour of the vertex-interacting self-avoiding walk are examined using transfer matrix methods extended using the density matrix renormalization group method and coupled with finite-size scaling. Particular attention is paid to the critical exponents at the ordinary and special points along the collapse transition line. The question of the bulk exponents (ν and γ) is addressed, and the results found are at variance with previously conjectured exact values.

Original languageEnglish
Article number505003
JournalJournal of Physics A: Mathematical and Theoretical
Volume45
Issue number50
Early online date29 Nov 2012
DOIs
Publication statusPublished - 21 Dec 2012
Externally publishedYes

Fingerprint

Transfer matrix method
Matrix Groups
Transfer Matrix Method
Self-avoiding Walk
Finite-size Scaling
Density Matrix
Critical Behavior
Square Lattice
Renormalization Group
Critical Exponents
Phase Diagram
Phase diagrams
apexes
Exponent
exponents
Line
renormalization group methods
Vertex of a graph
matrix methods
phase diagrams

ASJC Scopus subject areas

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

Cite this

Surface critical behaviour of the vertex-interacting self-avoiding walk on the square lattice. / Foster, D. P.; Pinettes, C.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 45, No. 50, 505003, 21.12.2012.

Research output: Contribution to journalArticle

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