When can Fokker-Planck Equation describe anomalous or chaotic transport?

Details When can Fokker-Planck Equation describe anomalous or chaotic transport? When can Fokker-Planck Equation describe anomalous or chaotic transport?

2007-05-25

arxiv.org/abs/0705.3737v2

Physical Review Letters 99, 185005 (2007)

Physics

Plasma Physics

4 pages. Accepted in Physical Review Letters. V2: only some minor changes

Scientific paper

10.1103/PhysRevLett.99.185005

The Fokker-Planck Equation, applied to transport processes in fusion plasmas, can model several anomalous features, including uphill transport, scaling of confinement time with system size, and convective propagation of externally induced perturbations. It can be justified for generic particle transport provided that there is enough randomness in the Hamiltonian describing the dynamics. Then, except for 1 degree-of-freedom, the two transport coefficients are largely independent. Depending on the statistics of interest, the same dynamical system may be found diffusive or dominated by its L\'{e}vy flights.

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