# Random walk on p-$adics in glassy systems

Source: [Random walk on p-$adics in glassy systems](<https://www.sota2.com/research/paper/68fa31b81e209131ce881083>)

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

Data updated: 2025-10-24T19:01:20.400Z

Authors: K. Lukierska-Walasek, K. Topolski

Published: 2005-05-24T11:01:31.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0505585>)

[PDF](<https://arxiv.org/pdf/cond-mat/0505585.pdf>)