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

D. F. Escande·Y. Elskens
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Abstract

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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D. F. Escande, Y. Elskens. 2002-04-11. Quasilinear diffusion for the chaotic motion of a particle in a set of longitudinal waves. https://arxiv.org/abs/physics/0111206

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