Fractional Kinetics and Dynamics of Anomalous Transport of Passive Particles
Abstract
We discuss the dynamics of anomalous transport of passive particles . We formulate general principles that lead to the appearance of sticky trajectories and superdiffusive processes. The later are shown as being of Levy-type. The particle (chaotic) dynamics are defined with the help of space-time fractional kinetics. At least, two critical exponents are required to define the kinetic equation. They characterize the fractional properties of space-time behavior of trajectories. These critical exponent are obtained with the help of renormalization group approach and microscopic evaluations of sticky domains properties. Various complex systems can be considered and be theoretically controled. We illustrate these theoretical developments with the help of the example of passive particles dynamics in a system of point vortices.
- Publication:
-
AGU Fall Meeting Abstracts
- Pub Date:
- December 2002
- Bibcode:
- 2002AGUFMNG71A..05Z
- Keywords:
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- 3200 MATHEMATICAL GEOPHYSICS (New field);
- 3220 Nonlinear dynamics;
- 3240 Chaos;
- 3250 Fractals and multifractals;
- 4568 Turbulence;
- diffusion;
- and mixing processes