Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2005-05-24
Physics
Condensed Matter
Disordered Systems and Neural Networks
7 pages, 1 figure
Scientific paper
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.
Lukierska-Walasek K.
Topolski K.
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