Fractional Fokker-Planck equation for ultraslow kinetics

A. V. Chechkin, J. Klafter, I. M. Sokolov

Research output: Contribution to journalArticlepeer-review

Abstract

Several classes of physical systems exhibit ultraslow diffusion for which the mean-squared displacement at long times grows as a power of the logarithm of time ("strong anomaly") and share the interesting property that the probability distribution of particle's position at long times is a double-sided exponential. We show that such behaviors can be adequately described by a distributed-order fractional Fokker-Planck equations with a power law weighting function. We discuss the equations and the properties of their solutions, and connect this description with a scheme based on continuous-time random walks.

Original languageEnglish
Pages (from-to)326-332
Number of pages7
JournalEurophysics Letters
Volume63
Issue number3
DOIs
StatePublished - Aug 2003

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