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Drift-Diffusion Equations

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Transport Equations for Semiconductors

Part of the book series: Lecture Notes in Physics ((LNP,volume 773))

This and the following chapters are concerned with the formal derivation of semi-classical macroscopic transport models from the semiconductor Boltzmann equation. We start in this chapter with the derivation of drift-diffusion equations, which are the simplest semiconductor model in the hierarchy. It was first derived by van Roosbroeck in 1950 [1]. We derive the model using the moment method introduced in Chap. 2. A derivation using a simple collision operator was presented in Sect. 2.4. In this chapter, we will employ the low-density operator (4.22). The derivation was made rigorous by Poupaud [2].

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  1. TU Wien Inst. Analysis und Scientific Computing, Wiedner Hauptstr. 8-10, 1040 Wien, Austria

    Ansgar Jüngel (Prof. Dr)

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  1. Ansgar Jüngel
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Jüngel, A. (2009). Drift-Diffusion Equations. In: Transport Equations for Semiconductors. Lecture Notes in Physics, vol 773. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89526-8_5

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  • DOI: https://doi.org/10.1007/978-3-540-89526-8_5

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