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Phys. Rev. Lett. 67, 1821–1824 (1991)

Ordering and phase transitions in random-field Ising systems

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Amos Maritan, Michael R. Swift, Marek Cieplak, Moses H. W. Chan, Milton W. Cole, and Jayanth R. Banavar
Department of Physics, 104 Davey Laboratory, The Pennsylvania State University, University Park, Pennsylvania 16802

Received 23 May 1991; published in the issue dated 30 September 1991

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).

© 1991 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.67.1821
DOI:
10.1103/PhysRevLett.67.1821
PACS:
05.50.+q, 64.70.Fx, 75.10.Hk