Interfacial adsorption in two-dimensional potts models

E. Carlon, F. Iglói, W. Selke, F. Szalma

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The interfacial adsorption W at the first-order transition in two-dimensional q-state Potts models is studied. In particular, findings of Monte Carlo simulations and of density-matrix renormalization group calculations at q = 16 are consistent with the analytic result, obtained in the Hamiltonian limit at large values of q, that W ∝ t-1/3 on approach to the bulk critical temperature Tc, t = |Tc - T|/Tc. In addition, the numerical findings allow to estimate corrections to scaling. Our study supports and quantities a previous conclusion by Bricmont and Lebowitz based on low temperature expansions.

Original languageEnglish
Pages (from-to)531-543
Number of pages13
JournalJournal of Statistical Physics
Volume96
Issue number3-4
Publication statusPublished - Aug 1999

Fingerprint

Corrections to Scaling
Matrix Groups
Potts Model
Density Matrix
Critical Temperature
two dimensional models
Adsorption
Renormalization Group
critical temperature
Monte Carlo Simulation
First-order
scaling
adsorption
expansion
estimates
Estimate
simulation

Keywords

  • Density-matrix renormalization group
  • Hamiltonian limit
  • Interfacial adsorption
  • Monte carlo simulations
  • Potts model

ASJC Scopus subject areas

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

Cite this

Carlon, E., Iglói, F., Selke, W., & Szalma, F. (1999). Interfacial adsorption in two-dimensional potts models. Journal of Statistical Physics, 96(3-4), 531-543.

Interfacial adsorption in two-dimensional potts models. / Carlon, E.; Iglói, F.; Selke, W.; Szalma, F.

In: Journal of Statistical Physics, Vol. 96, No. 3-4, 08.1999, p. 531-543.

Research output: Contribution to journalArticle

Carlon, E, Iglói, F, Selke, W & Szalma, F 1999, 'Interfacial adsorption in two-dimensional potts models', Journal of Statistical Physics, vol. 96, no. 3-4, pp. 531-543.
Carlon, E. ; Iglói, F. ; Selke, W. ; Szalma, F. / Interfacial adsorption in two-dimensional potts models. In: Journal of Statistical Physics. 1999 ; Vol. 96, No. 3-4. pp. 531-543.
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