Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
39 (1998), S. 4634-4663
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The semiconductor Boltzmann equation is considered within a material with a space-dependent band characteristic. Its fluid limit under strong elastic collisions leads to the so-called spherical harmonics expansion (SHE) model. For this model, the influence of smoothly space-dependent or abruptly discontinuous band characteristics is analyzed. For the latter case which occurs at heterojunction interfaces, kinetic boundary layers are analyzed and higher order transmission conditions are derived. In a further step, transmission conditions through heterojunctions for the energy-transport and drift-diffusion models (which are obtained as moments of the SHE model) are constructed. © 1998 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.532528
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