Details

Autor(en) / Beteiligte

• Jüngel, Ansgar

Titel

Spherical Harmonics Expansion Equations

Ist Teil von

• Transport Equations for Semiconductors, p.1-14

Ort / Verlag

Berlin, Heidelberg: Springer Berlin Heidelberg

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The spherical harmonics expansion (SHE) model can be derived from the Boltzmann equation by the three-step procedure introduced in Sect. 2.4. In contrast to the previous chapters, we do not integrate the Boltzmann equation over the whole wave vector space but only over the isoenergetic wave-vector space. As a result, the variable is still a distribution function, but depending on the position-energy space (x,ε) (and time) only and not on the position-wave-vector space (x,k) (and time). Thus, we are able to reduce the seven-dimensional Boltzmann equation to a five-dimensional problem.