p-Adic description of characteristic relaxation in complex systems

Details p-Adic description of characteristic relaxation in complex systems p-Adic description of characteristic relaxation in complex systems

2002-10-21

arxiv.org/abs/cond-mat/0210447v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

AMS-LaTeX (+iopart style), 9 pages, submitted to J.Phys.A

Scientific paper

10.1088/0305-4470/36/15/301

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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