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Stability of hierarchical interfaces in a random field model |
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| Authors: | Anton Bovier Christof Külske |
| Affiliation: | (1) Institut für Mathematik, Ruhr-Universität Bochum, W-4630 Bochum, Germany;(2) Present address: Institut für Angewandte Analysis und Stochastik, Hausvogteiplatz 5-7, O-1086 Berlin, Germany;(3) Institut für Theoretische Physik III, Ruhr-Universität Bochum, W-4630 Bochum, Germany |
| 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. |
| Keywords: | Disordered systems random-field Ising model interfaces hierarchical model renormalization of stochastic sequences |
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