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Anomalous transport of particles in Plasma physics
Kinetic equations Fokker-Planck operator L′evy statistic anomalous diffusion limit fractional heat equation
2015/10/15
We investigate the long time/small mean-free-path asymptotic behavior of the solutions of a Vlasov-L′evy-Fokker-Planck equation and show that the asymptotic dynamics for the VLFP are described by an a...
Classical dynamics and particle transport in kicked billiards
Classical dynamics particle transport kick source momentum
2011/7/6
We study nonlinear dynamics of the kicked particle whose motion is confined by square billiard. The kick source is considered as localized at the center of square with central symmetric spatial distri...
Stochastic Lagrangian Transport and Generalized Relative Entropies
Relative entropies stochastic integrals of motion stochastically passive scalars stochastic Lagrangian transport
2014/4/4
We discuss stochastic representations of advection diffusion equations with variable diffusivity, stochastic integrals of motion and generalized relative entropies.