Rigorous derivation of the Landau equation in the weak coupling limit
| dc.creator | Kirkpatrick, Kay | |
| dc.date | 2009-05-05 | |
| dc.date.accessioned | 2026-07-07T13:11:55Z | |
| dc.date.available | 2026-07-07T13:11:55Z | |
| dc.description | We examine a family of microscopic models of plasmas, with a parameter $α$ comparing the typical distance between collisions to the strength of the grazing collisions. These microscopic models converge in distribution, in the weak coupling limit, to a velocity diffusion described by the linear Landau equation (also known as the Fokker-Planck equation). The present work extends and unifies previous results that handled the extremes of the parameter $α$, for the whole range (0, 1/2], by showing that clusters of overlapping obstacles are negligible in the limit. Additionally, we study the diffusion coefficient of the Landau equation and show it to be independent of the parameter. | |
| dc.description | 22 pages, 8 figures, accepted to Communications in Pure and Applied Analysis | |
| dc.identifier | https://arxiv.org/abs/0905.0649 | |
| dc.identifier | http://arxiv.org/abs/0905.0649 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229434 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Probability | |
| dc.subject | 82B40; 82D10; 60K35 | |
| dc.title | Rigorous derivation of the Landau equation in the weak coupling limit | |
| dc.type | text |