Solution of the Boltzmann transport equation in two real-space dimensions using a spherical harmonic expansion in momentum space

Author

Rahmat, K. ; White, J. ; Antoniadis, D.A.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA

fYear

1994

fDate

11-14 Dec. 1994

Firstpage

359

Lastpage

362

Abstract

In this paper we present results obtained by solving the Boltzmann equation in two real space dimensions using a spherical harmonic expansion in momentum space. We show that if the coordinate system in momentum space is rotated to be aligned with the electric field then the magnitude of most of the harmonics can be assured to be small and thus they can be neglected without a significant loss of accuracy, which considerably reduces the complexity of the problem. Numerical results are presented for two dimensional structures in which flow occurs through both drift and diffusion.<>

Keywords

Boltzmann equation; harmonics; semiconductor device models; Boltzmann transport equation; MOSFET; coordinate system; electric field; harmonics; momentum space; semiconductor devices; spherical harmonic expansion; two dimensional structures; two real-space dimensions; Boltzmann equation; Computer science; Distribution functions; Hot carriers; Moment methods; Stochastic processes; Substrates;

fLanguage

English

Publisher

ieee

Conference_Titel

Electron Devices Meeting, 1994. IEDM '94. Technical Digest., International

Conference_Location

San Francisco, CA, USA

ISSN

0163-1918

Print_ISBN

0-7803-2111-1

Type

conf

DOI

10.1109/IEDM.1994.383392

Filename

383392