| Publication type: |
 |
Preprint, Working Paper, ... |
|
| Subject: |
|
|
|
| Title: |
|
Gaussian convergence for stochastic acceleration of N particles in the dense spectrum limit |
|
| Author(s): |
|
Yves Elskens ( ) 1 |
|
| Laboratory: |
|
|
|
| Abstract: |
|
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. |
|
| Fulltext language: |
|
English |
|
| Production date: |
|
2012-07-09 |
|
|
| Keyword(s): |
|
quasilinear diffusion – weak plasma turbulence – propagation of chaos – wave--particle interaction – stochastic acceleration – Fokker--Planck equation – hamiltonian chaos |
|
| Classification: |
|
PACS : 05.45.-a, 52.35.-g, 1.75.-i, 29.27.-a, 84.40.-x ; MSC : 34F05, 60H10, 82C05, 82D10, 60J70, 60K40 |
|
| Comment: |
|
19 pp. |
|
|
Export this paper
