Ultrametric diffusion in a strong centrally symmetric

O. M. Sizova

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 19 (2015) no. 1, pp. 87-104.

Résumé

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.

Détail

Keywords: ultrametricity, hierarchical energy landscape.
Mots-clés : ultrametric diffusion

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