Ordering and phase transitions in random-field Ising systems

Amos Maritan, Michael R. Swift, Marek Cieplak, Moses H.W. Chan, Milton W. Cole, Jayanth R. Banavar

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Abstract

An exact analysis of the Ising model with infinite-range interactions in a random field and a local mean-field theory in three dimensions is carried out leading to a phase diagram with several coexistence surfaces and lines of critical points. Our results show that the phase diagram depends crucially on whether the distribution of random fields is symmetric or not. Thus, Ising-like phase transitions in a porous medium (the asymmetric case) are in a different universality class from the conventional random-field model (symmetric case).

Original languageEnglish (US)
Pages (from-to)1821-1824
Number of pages4
JournalPhysical Review Letters
Volume67
Issue number14
DOIs
StatePublished - Jan 1 1991

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Maritan, A., Swift, M. R., Cieplak, M., Chan, M. H. W., Cole, M. W., & Banavar, J. R. (1991). Ordering and phase transitions in random-field Ising systems. Physical Review Letters, 67(14), 1821-1824. https://doi.org/10.1103/PhysRevLett.67.1821