p-Adic description of characteristic relaxation in complex systems
Disordered Systems and Neural Networks
2009-11-07 v1
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.
Cite
@article{arxiv.cond-mat/0210447,
title = {p-Adic description of characteristic relaxation in complex systems},
author = {V. A. Avetisov and A. Kh. Bikulov and V. A. Osipov},
journal= {arXiv preprint arXiv:cond-mat/0210447},
year = {2009}
}
Comments
AMS-LaTeX (+iopart style), 9 pages, submitted to J.Phys.A