Cebrián, E. and Bonilla, L.L and Carpio Rodríguez, Ana María (2009) Selfsustained current oscillations in the kinetic theory of semiconductor superlattices. Journal of Computational Physics, 228 (20). pp. 78697705. ISSN 00219991
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Abstract
We present the first numerical solutions of a kinetic theory description of selfsustained current oscillations in ndoped semiconductor superlattices. The governing equation is a singleminiband BoltzmannPoisson transport equation with a BGK (BhatnagarGrossKrook) collision term. Appropriate boundary conditions for the distribution function describe electron injection in the contact regions. These conditions seamlessly become Ohm's law at the injecting contact and the zero charge boundary condition at the receiving contact when integrated over the wave vector. The timedependent model is numerically solved for the distribution function by using the deterministic Weighted Particle Method. Numerical simulations are used to ascertain the convergence of the method. The numerical results confirm the validity of the ChapmanEnskog perturbation method used previously to derive generalized driftdiffusion equations for high electric fields because they agree very well with numerical solutions thereof.
Item Type:  Article 

Uncontrolled Keywords:  Semiconductor superlattice Boltzmann–BGK–Poisson kinetic equation Contact boundary conditions Selfsustained current oscillations Particle methods 
Subjects:  Sciences > Physics > Solid state physics Sciences > Physics > Hydrodynamics 
ID Code:  14904 
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