Dynamical sporadicity and anomalous diffusion in the Lévy motion
- 1 June 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 45 (12) , 8407-8417
- https://doi.org/10.1103/physreva.45.8407
Abstract
We discuss continuous-time sporadic dynamics that are intermediate between regular and random behaviors. A characterization of such processes is provided by a scale-dependent entropic quantity, and is applied to a model of Lévy motion introduced by Klafter, Blumen, and Shlesinger [Phys. Rev. A 35, 3081 (1987)]. The study suggests that sporadicity may be a feature of some physical systems exhibiting anomalous diffusion.Keywords
This publication has 38 references indexed in Scilit:
- Symbolic dynamics and hyperbolic dynamic systemsPublished by Elsevier ,2002
- Entropy of Symbolic Sequences: The Role of CorrelationsEurophysics Letters, 1991
- Transport properties, Lyapunov exponents, and entropy per unit timePhysical Review Letters, 1990
- Markov partitions for two-dimensional hyperbolic billiardsRussian Mathematical Surveys, 1990
- Chaotic diffusion and 1/f-noise of particles in two-dimensional solidsZeitschrift für Physik B Condensed Matter, 1988
- Diffusion in a Periodic Lorentz GasPhysical Review Letters, 1983
- Markov Partitions for dispersed billiardsCommunications in Mathematical Physics, 1980
- Intermittent transition to turbulence in dissipative dynamical systemsCommunications in Mathematical Physics, 1980
- Intermittency, self-similarity and 1/f spectrum in dissipative dynamical systemsJournal de Physique, 1980
- On a new axiomatic theory of probabilityActa Mathematica Hungarica, 1955