Kinetic Theory for Distribution Functions of Wave-Particle Interactions in Plasmas
- 7 June 2010
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 104 (23), 235001
- https://doi.org/10.1103/physrevlett.104.235001
Abstract
The evolution of a charged particle distribution function under the influence of coherent electromagnetic waves in a plasma is determined from kinetic theory. For coherent waves, the dynamical phase space of particles is an inhomogeneous mix of chaotic and regular orbits. The persistence of long time correlations between the particle motion and the phase of the waves invalidates any simplifying Markovian or statistical assumptions—the basis for usual quasilinear theories. The generalized formalism in this Letter leads to a hierarchy of evolution equations for the reduced distribution function. The evolution operators, in contrast to the quasilinear theories, are time dependent and nonsingular and include the rich phase space dynamics of particles interacting with coherent waves. DOI: http://dx.doi.org/10.1103/PhysRevLett.104.235001 © 2010 The American Physical SocietyThis publication has 28 references indexed in Scilit:
- Nonstandard Diffusion Properties of the Standard MapPhysical Review Letters, 1998
- Simulation of nonquasilinear diffusionPhysics of Plasmas, 1994
- Non-Markovian diffusion in plasma turbulencePhysics of Fluids B: Plasma Physics, 1993
- A fast and accurate method of calculating particle diffusion: Application to the ionosphereJournal of Geophysical Research, 1991
- Nonquasilinear diffusion far from the chaotic thresholdPhysical Review Letters, 1990
- Calculation of Turbulent Diffusion for the Chirikov-Taylor ModelPhysical Review Letters, 1980
- Reformulation of quasi-linear theoryJournal of Plasma Physics, 1972
- On the derivation of the quasilinear equationsJournal of Plasma Physics, 1972
- Discrete spectra and dampes waves in quasilinear theoryJournal of Plasma Physics, 1970
- Velocity Space Diffusion from Weak Plasma Turbulence in a Magnetic FieldPhysics of Fluids, 1966