Name
Abstract | ||
|---|---|---|
We discuss the grazing collision limit of certain kinetic models of Bose-Einstein particles obtained from a suitable modification of the one-dimensional Kac caricature of a Maxwellian gas without cut-off. We recover in the limit a non-linear Fokker-Planck equation which presents many similarities with the one introduced by Kaniadakis and Quarati in Phys. Rev. E 49 (1994), 5103-5110. In order to do so, we perform a study of the moments of the solution. Moreover, as is typical in Maxwell models, we make an essential use of the Fourier version of the equation. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.3233/ASY-2011-1031 | ASYMPTOTIC ANALYSIS |
Keywords | Field | DocType |
Bose gas,Kac model,grazing collisions,Fokker-Planck | Fokker–Planck equation,Nonlinear system,Mathematical physics,Bose–Einstein condensate,Fourier transform,Collision,Physics,Kinetic energy | Journal |
Volume | Issue | ISSN |
72 | 3-4 | 0921-7134 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thibaut Allemand | 1 | 0 | 0.34 |
| Giuseppe Toscani | 2 | 138 | 24.06 |