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Stability of hierarchical interfaces in a random field model

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Abstract

We study a hierarchical model for interfaces in a random-field ferromagnet. We prove that in dimensionD>3, at low temperatures and for weak disorder, such interfaces are rigid. Our proof uses renormalization group transformations for stochastic sequences.

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Author notes

  1. Anton Bovier

    Present address: Institut für Angewandte Analysis und Stochastik, Hausvogteiplatz 5-7, O-1086, Berlin, Germany

Authors and Affiliations

  1. Institut für Mathematik, Ruhr-Universität Bochum, W-4630, Bochum, Germany

    Anton Bovier

  2. Institut für Theoretische Physik III, Ruhr-Universität Bochum, W-4630, Bochum, Germany

    Christof Külske

Authors
  1. Anton Bovier
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  2. Christof Külske
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Bovier, A., Külske, C. Stability of hierarchical interfaces in a random field model. J Stat Phys 69, 79–110 (1992). https://doi.org/10.1007/BF01053784

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  • DOI: https://doi.org/10.1007/BF01053784

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