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29 March 2024
 
  » arxiv » cond-mat/0106506

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p-Adic Models of Ultrametric Diffusion Constrained by Hierarchical Energy Landscapes
V A Avetisov ; A H Bikulov ; S V Kozyrev ; V A Osipov ;
Date 25 Jun 2001
Journal J.Phys. A: Math. Gen., 35(2002) 177-189
Subject Disordered Systems and Neural Networks | cond-mat.dis-nn
AbstractWe demonstrate that p-adic analysis is a natural basis for the construction of a wide variety of the ultrametric diffusion models constrained by hierarchical energy landscapes. A general analytical description in terms of p-adic analysis is given for a class of models. Two exactly solvable examples, i.e. the ultrametric diffusion constraned by the linear energy landscape and the ultrametric diffusion with reaction sink, are considered. We show that such models can be applied to both the relaxation in complex systems and the rate processes coupled to rearrangenment of the complex surrounding.
Source arXiv, cond-mat/0106506
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