 |
 |
|
|
| HAL: hal-00605919, version 2 |
| arXiv: 1107.0788 |
| Detailed view |  Export this paper |
 |
| Available versions: | v1 (2011-07-05) | v2 (2012-06-25) |
|
|
|
|
| A geometric derivation of the linear Boltzmann equation for a particle interacting with a Gaussian random field |
|
|
| Sébastien Breteaux 1 |
|
|
| (2012-06-25) |
|
|
|
| In this article the linear Boltzmann equation is derived for a particle interacting with a Gaussian random field, in the weak coupling limit, with renewal in time of the random field. The initial data can be chosen arbitrarily. The proof is geometric and involves coherent states and semi-classical calculus. |
|
|
|
|
|
|
|
|
|
|
|
| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
|
|
|
CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
|
|
|
|
|
|
|
|
|
| Subject | : | Mathematics/Mathematical Physics |
|
|
| Linear Boltzmann equation – Processes in random environments – Quantum field theory – Coherent states – Kinetic theory of gases |
|
|
|
| Attached file list to this document: | ||||||||||
|
||||||||||
|
|
|
| hal-00605919, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00605919 | |
| oai:hal.archives-ouvertes.fr:hal-00605919 | |
| From: Sébastien Breteaux | |
| Submitted on: Monday, 25 June 2012 10:28:29 | |
| Updated on: Monday, 25 June 2012 11:51:20 | |
