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Gradient structures for optoelectronic models of semiconductors

Please always quote using this URN:urn:nbn:de:0296-matheon-13945
  • We derive an optoelectronic model based on a gradient formulation for the relaxation of electron-, hole- and photon-densities to their equilibrium state. This leads to a coupled system of partial and ordinary differential equations, for which we discuss the isothermal and the non-isothermal scenario separately.

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Metadaten
Author:Alexander Mielke, Dirk Peschka, Nella Rotundo, Marita Thomas
URN:urn:nbn:de:0296-matheon-13945
Referee:Uwe Bandelow
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2016/11/25
Release Date:2016/11/25
Tag:Gradient flow; dual dissipation potential; optoelectronic semiconductor model; reaction-diffusion systems
Institute:Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
Project:D Optics and Electronics (Electronic and photonic devices) / D-OT1 Mathematical modeling, analysis, and optimization of strained Germanium-microbridges
MSC-Classification:35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Kxx Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] / 35K57 Reaction-diffusion equations
78-XX OPTICS, ELECTROMAGNETIC THEORY (For quantum optics, see 81V80) / 78Axx General / 78A35 Motion of charged particles
80-XX CLASSICAL THERMODYNAMICS, HEAT TRANSFER (For thermodynamics of solids, see 74A15) / 80Axx Thermodynamics and heat transfer / 80A17 Thermodynamics of continua [See also 74A15]
82-XX STATISTICAL MECHANICS, STRUCTURE OF MATTER / 82Dxx Applications to specific types of physical systems / 82D37 Semiconductors
Preprint Number:1115
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