p-Adic Models of Ultrametric Diffusion Constrained by Hierarchical Energy Landscapes

Details p-Adic Models of Ultrametric Diffusion Constrained by Hierarchical Energy Landscapes p-Adic Models of Ultrametric Diffusion Constrained by Hierarchical Energy Landscapes

2001-06-25

arxiv.org/abs/cond-mat/0106506v1

J.Phys. A: Math. Gen., 35(2002) 177-189

Physics

Condensed Matter

Disordered Systems and Neural Networks

14 pages, 6 eps figures, LaTeX 2.09

Scientific paper

10.1088/0305-4470/35/2/301

We 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.

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