A transport equation for confined structures derived from the Boltzmann equation
نویسندگان
چکیده
منابع مشابه
A Transport Equation for Confined Structures Derived from the Boltzmann Equation
A system of diffusion-type equations for transport in 3d confined structures is derived from the Boltzmann transport equation for charged particles. Transport takes places in confined structures and the scaling in the derivation of the diffusion equation is chosen so that transport and scattering occur in the longitudinal direction and the particles are confined in the two transversal direction...
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A kinetic model derived from the Boltzmann equation, by using the spherical harmonic expansion method, is considered. This describes the evolution of an electron gas inside a bulk semiconductor in thermal equilibrium. The problem of velocity overshoot is analyzed in detail. A numerical scheme is proposed and the numerical results are shown.
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Xiaoyi He1,2,* and Li-Shi Luo Center for Nonlinear Studies, MS-B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 Complex Systems Group T-13, MS-B213, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 ICASE, MS 403, NASA Langley Research Center, 6 North Dryden Street, Building 1298, Hampton, Virginia 23681-0001 ~Received 29 April 1997; revised ma...
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ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2011
ISSN: 1539-6746,1945-0796
DOI: 10.4310/cms.2011.v9.n3.a8