Spherical-harmonic type expansion for the Boltzmann equation in semiconductor devices
The Boltzmann equation for an electron gas in a semiconductor is considered. The electron energy is assumed to have a very general form, so that, for instance, parabolic or non parabolic band approximations can be treated. A technique, which recalls the classical moment method due to Grad, to deduce...
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Università degli Studi di Catania
1998-10-01
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| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/372 |
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doaj-495bfad768684b368d95b4d81f14bca42020-11-25T03:19:39ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981998-10-01532331344348Spherical-harmonic type expansion for the Boltzmann equation in semiconductor devicesArmando MajoranaThe Boltzmann equation for an electron gas in a semiconductor is considered. The electron energy is assumed to have a very general form, so that, for instance, parabolic or non parabolic band approximations can be treated. A technique, which recalls the classical moment method due to Grad, to deduce an approximate quasi-hydrodynamical model is shown and compared with the spherical harmonic expansion. Some characteristics of the model, as entropy inequality, are explicitly presented.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/372 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Armando Majorana |
| spellingShingle |
Armando Majorana Spherical-harmonic type expansion for the Boltzmann equation in semiconductor devices Le Matematiche |
| author_facet |
Armando Majorana |
| author_sort |
Armando Majorana |
| title |
Spherical-harmonic type expansion for the Boltzmann equation in semiconductor devices |
| title_short |
Spherical-harmonic type expansion for the Boltzmann equation in semiconductor devices |
| title_full |
Spherical-harmonic type expansion for the Boltzmann equation in semiconductor devices |
| title_fullStr |
Spherical-harmonic type expansion for the Boltzmann equation in semiconductor devices |
| title_full_unstemmed |
Spherical-harmonic type expansion for the Boltzmann equation in semiconductor devices |
| title_sort |
spherical-harmonic type expansion for the boltzmann equation in semiconductor devices |
| publisher |
Università degli Studi di Catania |
| series |
Le Matematiche |
| issn |
0373-3505 2037-5298 |
| publishDate |
1998-10-01 |
| description |
The Boltzmann equation for an electron gas in a semiconductor is considered. The electron energy is assumed to have a very general form, so that, for instance, parabolic or non parabolic band approximations can be treated. A technique, which recalls the classical moment method due to Grad, to deduce an approximate quasi-hydrodynamical model is shown and compared with the spherical harmonic expansion. Some characteristics of the model, as entropy inequality, are explicitly presented.<br /> |
| url |
http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/372 |
| work_keys_str_mv |
AT armandomajorana sphericalharmonictypeexpansionfortheboltzmannequationinsemiconductordevices |
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1724621014975905792 |