Kinetic Boundary Layers and Fluid-Kinetic Coupling in Semiconductors

摘要

The semiconductor Boltzmann equation with elastic collisions as the dominating scattering effects is considered. For the corresponding fluid limit, the spherical harmonics expansion model, kinetic boundary layers are analyzed and higher order accurate boundary conditions are constructed. In a further step, boundary value problems for the energy transport model and the drift-diffusion model are derived. As an application, interface conditions for the fluid-kinetic coupling in a domain decomposition approach are presented.