Abstract:
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, ultrametric diffusion, hierarchical
energy landscape.
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