Dynamical Origin of the Anoamalous Transport of Passive Particles
Abstract
Anomalous transport of passive particles is considered from the dynamical point of view. We are able to formulate general principles how the phase space topology can influence the appearance of sticky trajectories and, as a result, superdiffusional or Levy-type processes. A general approach to particle chaotic dynamics is based on the space-time fractional description known as fractional kinetics. The kinetic equation is defined by at least two critical exponents that characterize fractional properties of space and time behavior of trajectories. Using microscopic evaluations of the sticky domains properties and the renormalization group approach, we have calculated the critical exponents from the first principles. The theory shows how one can consider different complicated systems and how to control them. The illustrations are proposed for passive particles dynamics in the system of point vortices.
- Publication:
-
AGU Fall Meeting Abstracts
- Pub Date:
- December 2001
- Bibcode:
- 2001AGUFMNG11A..03Z
- Keywords:
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- 3200 MATHEMATICAL GEOPHYSICS;
- 3220 Nonlinear dynamics;
- 3240 Chaos;
- 3250 Fractals and multifractals;
- 4568 Turbulence;
- diffusion;
- and mixing processes