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Hot Brownian carriers in the Langevin picture: Application to a simple model for the Gunn effect in GaAs

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  • Bauke, F.C.
  • Lagos, R.E.

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 the experimental results.

Suggested Citation

  • Bauke, F.C. & Lagos, R.E., 2014. "Hot Brownian carriers in the Langevin picture: Application to a simple model for the Gunn effect in GaAs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 235-243.
    • Handle: RePEc:eee:phsmap:v:393:y:2014:i:c:p:235-243
    DOI: 10.1016/j.physa.2013.08.081
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    Cited by:

    1. G. Rius-Sorolla & J. Maheut & S. Estellés-Miguel & J. P. Garcia-Sabater, 2020. "Coordination mechanisms with mathematical programming models for decentralized decision-making: a literature review," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(1), pages 61-104, March.

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