Random walk on p-$adics in glassy systems
Disordered Systems and Neural Networks
2015-06-25 v1
Abstract
We show that p-adic analysis provides a quite natural basis for the description of relaxation in hierarchical glassy systems. For our purposes, we specify the Markov stochastic process considered by S. Albeverio and W. Karwowski. As a result we have obtained a random walk on p-adic integer numbers, which provide the generalization of Cayley tree proposed by Ogielski and Stein. The temperature-dependent power-law decay and the Kohlrausch law are derived.
Keywords
Cite
@article{arxiv.cond-mat/0505585,
title = {Random walk on p-$adics in glassy systems},
author = {K. Lukierska-Walasek and K. Topolski},
journal= {arXiv preprint arXiv:cond-mat/0505585},
year = {2015}
}
Comments
7 pages, 1 figure