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Analysis of electronic models for solar cells including energy resolved defect densities
Please always quote using this URN:urn:nbn:de:0296-matheon-7270
- We introduce an electronic model for solar cells including energy resolved defect densities. The resulting drift-diffusion model corresponds to a generalized van Roosbroeck system with additional source terms coupled with ODEs containing space and energy as parameters for all defect densities. The system has to be considered in heterostructures and with mixed boundary conditions from device simulation. We give a weak formulation of the problem. If the boundary data and the sources are compatible with thermodynamic equilibrium the free energy along solutions decays monotonously. In other cases it may be increasing, but we estimate its growth. We establish boundedness and uniqueness results and prove the existence of a weak solution. This is done by considering a regularized problem, showing its solvability and the boundedness of its solutions independent of the regularization level.
Author: | Annegret Glitzky |
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URN: | urn:nbn:de:0296-matheon-7270 |
Referee: | Frank Schmidt |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2010/05/11 |
Release Date: | 2010/04/11 |
Tag: | |
MSC-Classification: | 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Bxx Qualitative properties of solutions / 35B45 A priori estimates |
35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Kxx Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] / 35K67 Singular parabolic equations | |
35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Rxx Miscellaneous topics (For equations on manifolds, see 58Jxx; for manifolds of solutions, see 58Bxx; for stochastic PDE, see also 60H15) / 35R05 Partial differential equations with discontinuous coefficients or data | |
78-XX OPTICS, ELECTROMAGNETIC THEORY (For quantum optics, see 81V80) / 78Axx General / 78A35 Motion of charged particles | |
Preprint Number: | 737 |