Classical and quantum transport in random media
| Autor: | Alexis F. Vasseur, Frédéric Poupaud |
|---|---|
| Rok vydání: | 2003 |
| Předmět: |
Physics
Mathematics(all) Partial differential equation Diffusion equation Differential equation General Mathematics Applied Mathematics Particle dynamic Boltzmann equation Random media Schrödinger equation Asymptotic equation Wigner transform symbols.namesake Quantum transport Master equation Fokker–Planck equation symbols Statistical physics Convection–diffusion equation |
| Zdroj: | Journal de Mathématiques Pures et Appliquées. 82(6):711-748 |
| ISSN: | 0021-7824 |
| DOI: | 10.1016/s0021-7824(03)00038-2 |
| Popis: | We study in this article the transport of particles in time-dependent random media, in the so-called weak coupling limit. We show the convergence of a Liouville equation to a Fokker–Planck equation. We also obtain the semi-classical limit of Schrodinger equations. This limit is described by a linear Boltzmann equation. In both cases, the ratio between a typical time scale and the scale of the media determines whether the limit diffusion and the collision process are elastic or not. 2003 Editions scientifiques et medicales Elsevier SAS. All rights reserved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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