Geodesic
Ultrametric diffusion in a strong centrally symmetric
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 19 (2015) no. 1, pp. 87-104

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A random process at the boundary of a finite regularly branching tree encapsulated in the central-symmetric external field is considered with respect to introduced ultrametricity. We demonstrate an explicit procedure of reduction of dimensionality of the problem. In addition, we consider the strong-field-limit and show that in this case the problem can be solved exactly. The exact solution of the strong-field-limit problem related to the case of linearly growing hierarchy of barriers is exemplified and supplemented by estimations of the transition kinetics into the ground state.
Keywords: ultrametricity, hierarchical energy landscape.
Mots-clés : ultrametric diffusion 
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     author = {O. M. Sizova},
     title = {Ultrametric diffusion in a strong centrally symmetric},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {87--104},
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     volume = {19},
     number = {1},
     year = {2015},
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     url = {http://geodesic.mathdoc.fr/item/VSGTU_2015_19_1_a5/}
}
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O. M. Sizova. Ultrametric diffusion in a strong centrally symmetric. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 19 (2015) no. 1, pp. 87-104. http://geodesic.mathdoc.fr/item/VSGTU_2015_19_1_a5/