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arXiv · cond-mat/0210447

p-Adic description of characteristic relaxation in complex systems

V. A. Avetisov·A. Kh. Bikulov·V. A. Osipov
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Abstract

This work is a further development of an approach to the description of relaxation processes in complex systems on the basis of the p-adic analysis. We show that three types of relaxation fitted into the Kohlrausch-Williams-Watts law, the power decay law, or the logarithmic decay law, are similar random processes. Inherently, these processes are ultrametric and are described by the p-adic master equation. The physical meaning of this equation is explained in terms of a random walk constrained by a hierarchical energy landscape. We also discuss relations between the relaxation kinetics and the energy landscapes.

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V. A. Avetisov, A. Kh. Bikulov, V. A. Osipov. 2002-10-21. p-Adic description of characteristic relaxation in complex systems. https://doi.org/10.1088/0305-4470%2F36%2F15%2F301

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