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.
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