- Conference date: 16–20 September 2008
- Location: Psalidi, Kos (Greece)
We propose novel BGK models for inelastic collisions in the kinetic theory of electron transport in semiconductor superlattices. The Chapman‐Enskog method produces a drift‐diffusion equation describing the behavior of the electric field F and the electron density n in an appropriate hyperbolic limit. Under voltage bias, stable solutions thereof include stable self‐sustained oscillations of the current through the superlattice due to periodic injection of electric field pulses at one end of the device that move to the other end. For almost elastic collisions, the model has a local equilibrium that oscillates rapidly in time and the resulting balance equations describe for the first time the annihilation of the Bloch oscillations due to scattering.
- Collision theories
- Electric fields
- Electronic transport
- Electric currents
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