The General Solution of the Boltzmann Transport Equation and Boundary-Value Problems
Journal Article
·
· Journal of the Physical Society of Japan
S>The general solution of the linearized Boltzmann transport equation is derived for an infinite medium, a semninfinite medium, and a medium bounded by two parallel planes. The particular solution required by the nature of the boundary scattering of the electrons is also obtained for these bounded media, subject to the following assumptions: a fraction p of the electrons arriving at the boundary of the medium is scattered specularly, while the rest are scattered diffusely; p is independent of the direction of motion of the electrons. The general solution of the linearized Boltzmann transport equation agrees completely with Chambers' expression, and the formulation presented by Mattis and Dresslhaus, Rodriguez, and Suzuki et al., all of whom have used the specular reflection boundary condition for the semi-infinite medium, is shown to be essentially correct. (auth)
- Research Organization:
- Nagoya Univ., Japan
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-17-005539
- OSTI ID:
- 4755671
- Journal Information:
- Journal of the Physical Society of Japan, Journal Name: Journal of the Physical Society of Japan Journal Issue: 10 Vol. 17; ISSN 0031-9015
- Publisher:
- Physical Society of Japan
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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