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university of Provence - Aix-Marseille I |  |
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university of Provence - Aix-Marseille I | |
| HAL: hal-00716040, version 1 |
| arXiv: 1207.2233 |
| Detailed view |  Export this paper |
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| Gaussian convergence for stochastic acceleration of N particles in the dense spectrum limit |
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| Yves Elskens 1 |
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| (2012-07-09) |
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| 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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| 1: | Physique des interactions ioniques et moléculaires (PIIM) |
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CNRS : UMR6633 – Université de Provence - Aix-Marseille I |
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| Subject | : | Physics/Mathematical Physics Mathematics/Mathematical Physics Nonlinear Sciences/Chaotic Dynamics Physics/Physics/Plasma Physics Mathematics/Probability |
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| 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 | |
