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Thermal Equilibrium with the Wiener Potential: Testing the Replica Variational Approximation | Kurt Broderix
; Reiner Kree
; | Date: |
24 Jul 1995 | Subject: | cond-mat | Affiliation: | Institut für Theoretische Physik, Georg-August-Universität, Göttingen, Germany | Abstract: | We consider the statistical mechanics of a classical particle in a one-dimensional box subjected to a random potential which constitutes a Wiener process on the coordinate axis. The distribution of the free energy and all correlation functions of the Gibbs states may be calculated exactly as a function of the box length and temperature. This allows for a detailed test of results obtained by the replica variational approximation scheme. We show that this scheme provides a reasonable estimate of the averaged free energy. Furthermore our results shed more light on the validity of the concept of approximate ultrametricity which is a central assumption of the replica variational method. | Source: | arXiv, cond-mat/9507099 | Other source: | [GID 9043] cond-mat/9507099 | Services: | Forum | Review | PDF | Favorites |
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