Quasilinear diffusion for the chaotic motion of a particle in a set of longitudinal waves

Details Quasilinear diffusion for the chaotic motion of a particle in a set of longitudinal waves Quasilinear diffusion for the chaotic motion of a particle in a set of longitudinal waves

2001-11-29

arxiv.org/abs/physics/0111206v2

Acta Phys. Pol. B 33 (2002) 1073-1084

Physics

Plasma Physics

5 pages LaTeX - 14th Marian Smoluchowski Symposium on Statistical Physics: Fundamentals and Applications, Zakopane, Poland, Se

Scientific paper

The rigorous analytical calculation of the diffusion coefficient is performed for the chaotic motion of a particle in a set of longitudinal waves with random phases and large amplitudes (~ A). A first step proves the existence of a quasilinear diffusion on a time scale ~ A^{-2/3} \ln A. A second step uses this property to extend the result to asymptotic times by introducing the conditional probability distribution of position and velocity of an orbit at a given time when they are known at a previous time.

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