The Levy diffusion as an effect of sporadic randomness
arXiv:cond-mat/9907464 · doi:10.1103/PhysRevE.60.6435
Abstract
The Levy diffusion processes are a form of non ordinary statistical mechanics resting, however, on the conventional Markov property. As a consequence of this, their dynamic derivation is possible provided that (i) a source of randomness is present in the corresponding microscopic dynamics and (ii) that the consequent process of memory erasure is properly taken into account by the theoretical treatment.
8 pages
Cited by in corpus (10)
- Levy Flight Superdiffusion: An Introduction
- Levy flights from a continuous-time process
- Levy Flights in External Force Fields: From Models to Equations
- Lévy scaling: the Diffusion Entropy Analysis applied to DNA sequences
- Strange kinetics: conflict between density and trajectory description
- Canonical and non-canonical equilibrium distribution
- Stochastic versus dynamic approach to Levy statistics in the presence of an external perturbation
- Sporadic randomness, Maxwell's Demon and the Poincare' recurrence times
- Decoherence, wave function collapses and non-ordinary statistical mechanics
- Scaling limits for Lévy walks with rests