The Random Field Ising Model

  • Jacques Villain

Abstract

Ising or Ising-like models in random fields are good representations of a large number of impure materials. A domain argument shows that the normal order is not destroyed by weak random fields in more than two dimensions. Domain wall roughening due to random fields produces metastability and hysteresis. Various theories predict a domain size proportional to log t for large times t, and this is confirmed by recent experiments. Metastability is a serious problem both for experiment and for theory! According to a phenomenological theory, and to experiments done on zero-field cooled samples, the critical behaviour is the same in three-dimensions as for t two dimensional systems in zero field.

Keywords

Domain Wall Random Field Ising Model Critical Exponent Pure System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Jacques Villain
    • 1
  1. 1.Institut für FestkörperforschungKernforschungsanlage JülichJülichDeutschland

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