Qualitative behavior of weak solutions of the drift di usion model for semiconductor devices coupled with Maxwell s equations

Qualitative Behavior of Weak Solutions of the Drift Diiusion Model for Semiconductor Devices Coupled with Maxwell S Equations

The transient drift-diiusion model describing the charge transport in semiconductors is considered. Poisson's equation, which is usually used, is replaced by Maxwell's equations. The diiusion-and mobility-coeecients and the dielectric and magnetic susceptibilities may depend on the space-variables. Global existence and convergence to the thermal equilibrium is shown.

Diffusion in Semiconductor Technology

The paper deals with the analysis of pair di usion models in semiconductor technology. The underlying model contains reaction-drift-di usion equations for the mobile point defects and dopant-defect pairs as well as reaction equations for immobile dopants which are coupled with a nonlinear Poisson equation for the chemical potential of the electrons. For homogeneous structures we present an exis...

A Multigrid Preconditioner for the Semiconductor Equations

A multigrid preconditioned conjugate gradient algorithm is introduced into a semiconductor device modeling code DANCIR This code simulates a wide variety of semiconductor devices by numerically solving the drift di usion equations The most time consuming aspect of the simulation is the solution of three linear systems within each iteration of the Gummel method The original version of DANCIR use...

The Generalized Maxwell-Stefan Model Coupled with Vacancy Solution Theory of Adsorption for Diffusion in Zeolites

It seems using the Maxwell-Stefan (M-S) diffusion model in combination with the vacancy solution theory (VST) and the single-component adsorption data provides a superior, qualitative, and quantitative prediction of diffusion in zeolites. In the M-S formulation, thermodynamic factor (Г) is an essential parameter which must be estimated by an adsorption isotherm. Researchers usually utilize the ...

Existence of Weak Solutions of the Drift Diiusion Model Coupled with Maxwell S Equations