Differential and Integral Equations

A quasistationary limit and convergence to equilibrium in the drift diffusion system for semiconductors coupled with Maxwell's equations

Frank Jochmann

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Abstract

The transient drift-diffusion model describing the charge transport in semiconductors is investigated in the case that the currents are prescribed. It is shown that the solutions of the drift-diffusion system coupled with Maxwell's equations converge to the solution of the drift-diffusion system coupled with Poisson's equation if the magnetic susceptibility tends to zero. Furthermore it is shown that the densities converge to the thermal equilibrium state for $t\rightarrow\infty$ provided that the boundary conditions are compatible with the thermal equilibrium.

Article information

Source
Differential Integral Equations, Volume 14, Number 4 (2001), 427-474.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356123315

Mathematical Reviews number (MathSciNet)
MR1799416

Zentralblatt MATH identifier
1011.35037

Subjects
Primary: 82D37: Semiconductors
Secondary: 35M20 76X05: Ionized gas flow in electromagnetic fields; plasmic flow [See also 82D10] 78A35: Motion of charged particles

Citation

Jochmann, Frank. A quasistationary limit and convergence to equilibrium in the drift diffusion system for semiconductors coupled with Maxwell's equations. Differential Integral Equations 14 (2001), no. 4, 427--474. https://projecteuclid.org/euclid.die/1356123315


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