p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
By V. Avetisov, A. H. Bikulov, S. V. Kozyrev, V. Osipov. 2001
268 citations recorded by the source corpus.
We demonstrate that the p-adic analysis is a natural basis for the construction of a wide variety of models of ultrametric diffusion constrained by hierarchical energy landscapes. A general analytical description in terms of the p-adic analysis is given for a class of models. Two exactly solvable examples, i.e. the ultrametric diffusion constrained by the linear energy landscape and the ultrametric diffusion with a 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 rearrangement of the complex surrounding.
Subfields: Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/88e0b4358a252d879a24213d052e5fa6015e0ba4
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In Computational Theory and Mathematics
In Mathematical Physics
- Branko Dragovich
- Igor V. Volovich
- A. Khrennikov
- Sergei V. Kozyrev
- Evgeny Zelenov
- Jun Kigami
- Q. Jahan
- Biswaranjan Behera
Citations in the corpus
- p-Adic mathematical physics: the first 30 years (2017, methodology): “Models of spin glasses ([250, 251, 28]) and protein dynamics ([30, 35, 31]) can be considered as related examples.”
- Pseudodifferential operators on ultrametric spaces and ultrametric wavelets (2004, methodology): “For p–adic mathematical physics, see [1], [14]–[25], [11], where the models of mathematical physics are investigated with the help of p–adic analysis.”
- Wavelets on ultrametric spaces (2005, methodology): “For p-adic mathematical physics, see [4–8,15–23] where the models of mathematical physics with the help of p-adic analysis are investigated.”