4458 articles – 13149 references  [version française]
 HAL: hal-00716040, version 1
 arXiv: 1207.2233
 Gaussian convergence for stochastic acceleration of N particles in the dense spectrum limit
 (2012-07-09)
 The velocity of a passive particle in a one-dimensional wave field is shown to converge in law to a Wiener process, in the limit of a dense wave spectrum with independent complex amplitudes, where the random phases distribution is invariant modulo $\pi/2$ and the power spectrum expectation is uniform. The proof provides a full probabilistic foundation to the quasilinear approximation in this limit. The result extends to an arbitrary number of particles, founding the use of the ensemble picture for their behaviour in a single realization of the stochastic wave field.
 1: Physique des interactions ioniques et moléculaires (PIIM) CNRS : UMR6633 – Université de Provence - Aix-Marseille I
 Subject : Physics/Mathematical PhysicsMathematics/Mathematical PhysicsNonlinear Sciences/Chaotic DynamicsPhysics/Physics/Plasma PhysicsMathematics/Probability
 Keyword(s): quasilinear diffusion – weak plasma turbulence – propagation of chaos – wave--particle interaction – stochastic acceleration – Fokker--Planck equation – hamiltonian chaos
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 hal-00716040, version 1 http://hal.archives-ouvertes.fr/hal-00716040 oai:hal.archives-ouvertes.fr:hal-00716040 From: Yves Elskens <> Submitted on: Monday, 9 July 2012 17:04:31 Updated on: Wednesday, 11 July 2012 11:04:24