### 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 language | English |
---|---|

Pages (from-to) | 1079-1085 |

Number of pages | 7 |

Journal | Journal of Statistical Physics |

Volume | 89 |

Issue number | 5-6 |

Publication status | Published - Dec 1997 |

### Fingerprint

### 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

*Journal of Statistical Physics*,

*89*(5-6), 1079-1085.

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

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 89, no. 5-6, pp. 1079-1085.

}

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 -