# p-Adic description of characteristic relaxation in complex systems

Source: [p-Adic description of characteristic relaxation in complex systems](<https://www.sota2.com/research/paper/68fa25c32c2a3760193b38e9>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T10:57:33.405Z

Authors: V. A. Avetisov, A. Kh. Bikulov, V. A. Osipov

Published: 2002-10-21T08:08:16.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0210447>)

[PDF](<https://arxiv.org/pdf/cond-mat/0210447.pdf>)