Title :
A Galerkin method for the arbitrary order expansion in momentum space of the Boltzmann equation using spherical harmonics
Author :
Rahmat, Khalid ; White, Jacob ; Antoniadis, Dimitri A.
Author_Institution :
Res. Lab. of Electron., MIT, Cambridge, MA, USA
Abstract :
We have implemented a Galerkin method for the solution of the Boltzmann equation which allows arbitrary order spherical harmonic expansions in momentum space. The implementation of the method in one real space dimension shows the importance of including harmonics beyond first order to accurately calculate the distribution function in high field regions
Keywords :
Boltzmann equation; Galerkin method; Poisson distribution; high field effects; partial differential equations; Boltzmann equation; Galerkin method; Poisson´s equation; arbitrary order expansion; coupled partial differential equations; distribution function; high field regions; momentum space; real space dimension; spherical harmonics; Boltzmann equation; Distribution functions; Jacobian matrices; Laboratories; Moment methods; Partial differential equations; Poisson equations; Scattering; Space technology; Tellurium;
Conference_Titel :
Numerical Modeling of Processes and Devices for Integrated Circuits, 1994. NUPAD V., International Workshop on
Conference_Location :
Honolulu, HI
Print_ISBN :
0-7803-1867-6
DOI :
10.1109/NUPAD.1994.343473
