Review of Recent Developments in the Random-Field Ising Model |
| |
| Authors: | Nikolaos G. Fytas Víctor Martín-Mayor Marco Picco Nicolas Sourlas |
| |
| Affiliation: | 1.Applied Mathematics Research Centre,Coventry University,Coventry,UK;2.Departamento de Física Téorica I,Universidad Complutense,Madrid,Spain;3.Instituto de Biocomputacíon y Física de Sistemas Complejos (BIFI),Saragossa,Spain;4.Sorbonne Universités, Université Pierre et Marie Curie - Paris VI, Laboratoire de Physique Théorique et Hautes Energies,Paris Cedex 05,France;5.Laboratoire de Physique Théorique de l’ENS, école Normale Supérieure, PSL Research University, Sorbonne Universités, UPMC Univ. Paris 06, CNRS,Paris,France |
| |
| Abstract: | A lot of progress has been made recently in our understanding of the random-field Ising model thanks to large-scale numerical simulations. In particular, it has been shown that, contrary to previous statements: the critical exponents for different probability distributions of the random fields and for diluted antiferromagnets in a field are the same. Therefore, critical universality, which is a perturbative renormalization-group prediction, holds beyond the validity regime of perturbation theory. Most notably, dimensional reduction is restored at five dimensions, i.e., the exponents of the random-field Ising model at five dimensions and those of the pure Ising ferromagnet at three dimensions are the same. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
