English

Surface critical behavior of two-dimensional dilute Ising models

Disordered Systems and Neural Networks 2009-10-30 v1 Statistical Mechanics

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 star-tiangle transformation method. In particular, the critical exponent of the surface magnetization is found to be close to that of the perfect model, beta_s=1/2. The crossover from surface to bulk critical properties is discussed.

Keywords

Cite

@article{arxiv.cond-mat/9707336,
  title  = {Surface critical behavior of two-dimensional dilute Ising models},
  author = {W. Selke and F. Szalma and P. Lajko and F. Igloi},
  journal= {arXiv preprint arXiv:cond-mat/9707336},
  year   = {2009}
}

Comments

6 pages in RevTex, 3 ps figures, to appear in Journal of Stat. Phys

R2 v1 2026-07-22T11:58:58.359Z