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Percolation and related systems in equilibrium statistical mechanics

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The Mathematics and Physics of Disordered Media: Percolation, Random Walk, Modeling, and Simulation

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1035))

Abstract

We review the relations of percolation and related geometrical models to equilibrium statistical mechanical models. These relations are of two sorts: 1) Percolation and related geometrical models have been shown to be equivalent to limits of models in equilibrium statistical mechanics in many cases. 2) Many models exist in which a field subject to thermal disorder is added to the geometrically disordered model so that the two kinds of disorder compete. Throughout this review we attempt to point out places where mathematically exact results might be useful.

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Authors and Affiliations

  1. School of Physics and Astronomy, University of Minnesota, 55455, Minneapolis, Minnesota

    J. W. Halley & C. Dasgupta

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  1. J. W. Halley
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  2. C. Dasgupta
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B. D. Hughes B. W. Ninham

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© 1983 Springer-Verlag

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Halley, J.W., Dasgupta, C. (1983). Percolation and related systems in equilibrium statistical mechanics. In: Hughes, B.D., Ninham, B.W. (eds) The Mathematics and Physics of Disordered Media: Percolation, Random Walk, Modeling, and Simulation. Lecture Notes in Mathematics, vol 1035. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073263

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  • DOI: https://doi.org/10.1007/BFb0073263

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  • Print ISBN: 978-3-540-12707-9

  • Online ISBN: 978-3-540-38693-3

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