Rigorous drift-diffusion asymptotics of a high-field quantum transport equation
| dc.creator | Manzini, Chiara | |
| dc.creator | Frosali, Giovanni | |
| dc.date | 2006-12-13 | |
| dc.date.accessioned | 2026-07-07T07:34:32Z | |
| dc.date.available | 2026-07-07T07:34:32Z | |
| dc.description | The asymptotic analysis of a linear high-field Wigner-BGK equation is developped by a modified Chapman-Enskog procedure. By an expansion of the unknown Wigner function in powers of the Knudsen number $ε$, evolution equations are derived for the terms of zeroth and first order in $ε$. In particular, it is obtained a quantum drift-diffusion equation for the position density, which is corrected by field-dependent terms of order $ε$. Well-posedness and regularity of the approximate problems are established, and it is proved that the difference between exact and asymptotic solutions is of order $ε^2$, uniformly in time and for arbitrary initial data. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0612040 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0612040 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119797 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Analysis of PDEs | |
| dc.title | Rigorous drift-diffusion asymptotics of a high-field quantum transport equation | |
| dc.type | text |