Abstract
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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Acknowledgements
This research was partially supported by DFG via project B4 in SFB 787 and by the Einstein Foundation Berlin via the Matheon project OT1 in ECMath. The authors are grateful to M. Liero, A. Glitzky and T. Koprucki for fruitful discussions.
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Mielke, A., Peschka, D., Rotundo, N., Thomas, M. (2017). On Some Extension of Energy-Drift-Diffusion Models: Gradient Structure for Optoelectronic Models of Semiconductors. In: Quintela, P., et al. Progress in Industrial Mathematics at ECMI 2016. ECMI 2016. Mathematics in Industry(), vol 26. Springer, Cham. https://doi.org/10.1007/978-3-319-63082-3_45
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DOI: https://doi.org/10.1007/978-3-319-63082-3_45
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