The random-field puzzle. I. Solution by equivalent annealing

M. Schwartz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Random-field ferromagnetism systems are discussed, using an equivalent annealed system. It is shown how the critical exponents of the random system are related to the exponents of the pure system. The critical exponent eta is expressed in terms of a dimensionality reduction d'=d-2+ eta (d'). The lower critical dimension for the Ising model is two and for the continuous models it is four. Very strong arguments are given for a hyperscaling relation 2- alpha =d'v and for all the exponents to be given by a dimensionality reduction.

Original languageEnglish
Article number019
Pages (from-to)135-158
Number of pages24
JournalJournal of Physics C: Solid State Physics
Issue number1
StatePublished - 1985


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