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Random walk on p-$adics in glassy systems

K. Lukierska-Walasek·K. Topolski
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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.

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K. Lukierska-Walasek, K. Topolski. 2005-05-24. Random walk on p-$adics in glassy systems. https://doi.org/10.1103/physrevb.73.054419

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