Random walk on p-adics and hierarchical systems
Journal Article
·
· Physical Review. B, Condensed Matter and Materials Physics
- Institute of Physics, University of Zielona Gora, ul. Z. Szafrana 4a, 65-516 Zielona Gora (Poland)
We show that p-adic analysis provides a quite natural basis for the description of relaxation in hierarchical systems. For our purposes, we specify the Markov stochastic process considered by Albeverio and Karwowski. As a result we have obtained a random walk on the p-adic integer numbers, which provides the generalization of Cayley tree proposed by Ogielski and Stein. The temperature-dependent power-law decay and the Kohlrausch law are derived.
- OSTI ID:
- 20787909
- Journal Information:
- Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 5 Vol. 73; ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
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