Abstract
We present an exact solution to the problem of a random walk on an ultrametric space with arbitrary transition probabilities. The solution provides a description of fluctuation dynamics of systems with many degenerate states separated by a hierarchy of energy barriers. Dynamical behavior is found to depend on the scaling of barriers with ultrametric distance. We find a range of interesting behavior, from temperature-dependent power-law decay to the Kohlrausch law.
Original language | English (US) |
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Pages (from-to) | 1634-1637 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 55 |
Issue number | 15 |
DOIs | |
State | Published - 1985 |
ASJC Scopus subject areas
- General Physics and Astronomy