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Diffusion dynamics of an electron gas confined between two plates

Abstract : We consider electrons constrained to move in the gap between two plane parallel plates, confined by a magnetic field perpendicular to the plates and accelerated by an electric field parallel to them. The electrons are subject to elastic collisions against the solid plates on the one hand and against atoms or ions in the gap between the plates on the other hand. Under the assumption that the dynamics is dominated by the collisions, we derive a diffusion type model for the energy distribution function of the electrons. The present paper is an extension of a previous one [17] where only collisions against the solid boundaries were considered.
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Submitted on : Sunday, October 21, 2012 - 9:13:26 PM
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  • HAL Id : hal-00076883, version 1


Pierre Degond, Vladimir Latocha, Simona Mancini, Antoine Mellet. Diffusion dynamics of an electron gas confined between two plates. Methods and Applications of Analysis, 2002, 9, 1, pp.127-150. ⟨hal-00076883⟩



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