arXiv:cond-mat/0505585 Abstract

arXiv:cond-mat/0505585Abstract References Reviews Resources

Random walk on p-$adics in glassy systems

Published 2005-05-24Version 1

We show that p-adic analysis provides a quite natural basis for the description of relaxation in hierarchical glassy systems. For our purposes, we specify the Markov stochastic process considered by S. Albeverio and W. Karwowski. As a result we have obtained a random walk on p-adic integer numbers, which provide the generalization of Cayley tree proposed by Ogielski and Stein. The temperature-dependent power-law decay and the Kohlrausch law are derived.

Comments: 7 pages, 1 figure

Categories: cond-mat.dis-nn

Keywords: random walk, quite natural basis, temperature-dependent power-law decay, p-adic integer numbers, markov stochastic process

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