Hot Brownian Carriers in the Langevin Picture: Application to a simple model for the Gunn Effect in GaAs
arXiv:1304.5474 · doi:10.1016/j.physa.2013.08.081
Abstract
We consider a charged Brownian gas under the influence of external, static and uniform electric and magnetic fields, immersed in a uniform bath temperature. We obtain the solution for the associated Langevin equation, and thereafter the evolution of the nonequilibrium temperature towards a nonequilibrium (hot) steady state. We apply our results to a simple yet relevant Brownian model for carrier transport in GaAs. We obtain a negative differential conductivity regime (Gunn effect) and discuss and compare our results with experimental results.
22 pages, 9 figures, submitted to Physica A
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