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Article Dans Une Revue Journal of Statistical Physics Année : 2012

Gaussian convergence for stochastic acceleration of N particles in the dense spectrum limit

Résumé

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.
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Dates et versions

hal-00716040 , version 1 (09-07-2012)

Identifiants

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Yves Elskens. Gaussian convergence for stochastic acceleration of N particles in the dense spectrum limit. Journal of Statistical Physics, 2012, 148, pp.591-605. ⟨10.1007/s10955-012-0546-2⟩. ⟨hal-00716040⟩

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