Surface critical behavior of two-dimensional dilute Ising models

W. Selke, F. Szalma, P. Lajkó, F. Iglói

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

Ising models with nearest neighbor ferromagnetic random couplings on a square lattice with a (1, 1) surface are studied, using Monte Carlo techniques and a star-triangle transformation method. In particular, the critical exponent of the surface magnetization is found to be close to that of the perfect model. β1 = 1/2. The crossover from surface to bulk critical properties is discussed.

Original languageEnglish
Pages (from-to)1079-1085
Number of pages7
JournalJournal of Statistical Physics
Volume89
Issue number5-6
Publication statusPublished - Dec 1997

Fingerprint

Critical Behavior
Ising model
Ising Model
Monte Carlo Techniques
Square Lattice
Magnetization
triangles
Critical Exponents
Crossover
Triangle
Nearest Neighbor
Star
crossovers
exponents
stars
magnetization
Model

Keywords

  • Monte Carlo simulations
  • Random Ising model
  • Surface magnetization

ASJC Scopus subject areas

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

Cite this

Surface critical behavior of two-dimensional dilute Ising models. / Selke, W.; Szalma, F.; Lajkó, P.; Iglói, F.

In: Journal of Statistical Physics, Vol. 89, No. 5-6, 12.1997, p. 1079-1085.

Research output: Contribution to journalArticle

Selke, W, Szalma, F, Lajkó, P & Iglói, F 1997, 'Surface critical behavior of two-dimensional dilute Ising models', Journal of Statistical Physics, vol. 89, no. 5-6, pp. 1079-1085.
Selke, W. ; Szalma, F. ; Lajkó, P. ; Iglói, F. / Surface critical behavior of two-dimensional dilute Ising models. In: Journal of Statistical Physics. 1997 ; Vol. 89, No. 5-6. pp. 1079-1085.
@article{7134e278fa0e4b24bf9a35db10fc43af,
title = "Surface critical behavior of two-dimensional dilute Ising models",
abstract = "Ising models with nearest neighbor ferromagnetic random couplings on a square lattice with a (1, 1) surface are studied, using Monte Carlo techniques and a star-triangle transformation method. In particular, the critical exponent of the surface magnetization is found to be close to that of the perfect model. β1 = 1/2. The crossover from surface to bulk critical properties is discussed.",
keywords = "Monte Carlo simulations, Random Ising model, Surface magnetization",
author = "W. Selke and F. Szalma and P. Lajk{\'o} and F. Igl{\'o}i",
year = "1997",
month = "12",
language = "English",
volume = "89",
pages = "1079--1085",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "5-6",

}

TY - JOUR

T1 - Surface critical behavior of two-dimensional dilute Ising models

AU - Selke, W.

AU - Szalma, F.

AU - Lajkó, P.

AU - Iglói, F.

PY - 1997/12

Y1 - 1997/12

N2 - Ising models with nearest neighbor ferromagnetic random couplings on a square lattice with a (1, 1) surface are studied, using Monte Carlo techniques and a star-triangle transformation method. In particular, the critical exponent of the surface magnetization is found to be close to that of the perfect model. β1 = 1/2. The crossover from surface to bulk critical properties is discussed.

AB - Ising models with nearest neighbor ferromagnetic random couplings on a square lattice with a (1, 1) surface are studied, using Monte Carlo techniques and a star-triangle transformation method. In particular, the critical exponent of the surface magnetization is found to be close to that of the perfect model. β1 = 1/2. The crossover from surface to bulk critical properties is discussed.

KW - Monte Carlo simulations

KW - Random Ising model

KW - Surface magnetization

UR - http://www.scopus.com/inward/record.url?scp=0031325696&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031325696&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031325696

VL - 89

SP - 1079

EP - 1085

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 5-6

ER -