LEVY WALKS AND PROPAGATORS IN INTERMITTENT CHAOTIC SYSTEMS

Citation
G. Zumofen et al., LEVY WALKS AND PROPAGATORS IN INTERMITTENT CHAOTIC SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(3), 1993, pp. 2183-2186
Citations number
19
ISSN journal
1063651X
Volume
47
Issue
3
Year of publication
1993
Pages
2183 - 2186
Database
ISI
SICI code
1063-651X(1993)47:3<2183:LWAPII>2.0.ZU;2-F
Abstract
We study the propagator P(r, t) for enhanced diffusion in intermittent chaotic systems represented by a class of iterated maps. The analysis is based on the velocity model, which is characterized by motion at a constant velocity with interruptions where sojourn times are chosen r andomly but according to power-law distributions. The velocity model r eproduces excellently the map-generated motion. The relationship to Le vy walks and scaling properties is discussed.