Diffusion in hierarchies
- 1 October 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 38 (8) , 4261-4270
- https://doi.org/10.1103/physreva.38.4261
Abstract
In this paper we show that diffusion processes in a ‘‘complex’’ phase space with many local minima can be mapped into a random-walk problem on a tree structure. We then rigorously solve the latter problem for regular trees, under quite general assumptions about the rates. Finally, we extend our results to the case of inhomogeneous trees.Keywords
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