<i>p</i>-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
В. А. АветисовN N Semenov Institute of Chemical Physics, Kosygina Street 4, 117734 Moscow, RussiaА. Х. БикуловN N Semenov Institute of Chemical Physics, Kosygina Street 4, 117734 Moscow, RussiaS. V. KozyrevN N Semenov Institute of Chemical Physics, Kosygina Street 4, 117734 Moscow, RussiaVladimir Al. OsipovN N Semenov Institute of Chemical Physics, Kosygina Street 4, 117734 Moscow, Russia
2002en
ABI
Abstract
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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Cited by 40 references