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 language | English |
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Pages (from-to) | 326-332 |
Number of pages | 7 |
Journal | Europhysics Letters |
Volume | 63 |
Issue number | 3 |
DOIs | |
State | Published - Aug 2003 |