• DocumentCode
    2268796
  • 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
  • fYear
    1994
  • fDate
    5-6 Jun 1994
  • Firstpage
    133
  • Lastpage
    136
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • 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
  • Type

    conf

  • DOI
    10.1109/NUPAD.1994.343473
  • Filename
    343473