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Statics and Dynamics of the Random Field Ising Model (Theory)

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Nonlinearity in Condensed Matter

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 69))

Abstract

I will give in this lecture an introductory overview of our present understanding of the Random Field Ising Model (RFIM). As this is a subject of a large literature and a long, turbulent history, I will restrict myself to a small number of topics, whose choice is very subjective. In particular, I will neither discuss experimental nor numerical work, except when it cannot be avoided. It is, however, important to realize why such a disproportionately large amount of attention has been devoted to this model. The first reason is that the RFIM is the simplest model which incorporates the dramatic effect of quenched-in disorder coupled linearly to an order-parameter. This effect has been seen in a steadily growing list of experiments (1). It was extensively studied for the first time in diluted antiferromagnets in a magnetic field (2) but the RFIM is now used to explain how impurities affect displacive transitions, how phase separation of binary fluids proceeds in porous media or gels, and how hydrogen dissolves in metallic alloys. Random fields also play an important role in charge-density wave systems.

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Author information

Authors and Affiliations

  1. Physics Department and Solid State Science Center, University of California, Los Angeles, CA, 90024, USA

    R. Bruinsma

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  1. R. Bruinsma
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Editor information

Editors and Affiliations

  1. Center of Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, 87545, NM, USA

    Alan R. Bishop , David K. Campbell , Pradeep Kumar  & Steven E. Trullinger , ,  & 

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© 1987 Springer-Verlag Berlin Heidelberg

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Bruinsma, R. (1987). Statics and Dynamics of the Random Field Ising Model (Theory). In: Bishop, A.R., Campbell, D.K., Kumar, P., Trullinger, S.E. (eds) Nonlinearity in Condensed Matter. Springer Series in Solid-State Sciences, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83033-4_34

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  • DOI: https://doi.org/10.1007/978-3-642-83033-4_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83035-8

  • Online ISBN: 978-3-642-83033-4

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