Uniform convergence to equilibrium for a family of drift-diffusion models with trap-assisted recombination and self-consistent potential

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dc.contributor.authorFellner, Klemens
dc.contributor.authorKniely, Michael
dc.date.accessioned2022-03-25T14:31:45Z
dc.date.available2022-03-25T14:31:45Z
dc.date.issued2021-07-06
dc.description.abstractWe investigate a recombination–drift–diffusion model coupled to Poisson's equation modelling the transport of charge within certain types of semiconductors. In more detail, we study a two-level system for electrons and holes endowed with an intermediate energy level for electrons occupying trapped states. As our main result, we establish an explicit functional inequality between relative entropy and entropy production, which leads to exponential convergence to equilibrium. We stress that our approach is applied uniformly in the lifetime of electrons on the trap level assuming that this lifetime is sufficiently small.en
dc.identifier.urihttp://hdl.handle.net/2003/40829
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-22686
dc.language.isoende
dc.relation.ispartofseriesMath Meth Appl Sci.;44(17)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectEntropy methoden
dc.subjectExponential convergence to equilibriumen
dc.subjectPDEs in connection with semiconductor devicesen
dc.subjectReaction-diffusion equationsen
dc.subjectSelf-consistent potentialen
dc.subjectTrapped statesen
dc.subject.ddc510
dc.titleUniform convergence to equilibrium for a family of drift-diffusion models with trap-assisted recombination and self-consistent potentialen
dc.typeTextde
dc.type.publicationtypearticlede
dcterms.accessRightsopen access
eldorado.secondarypublicationtruede
eldorado.secondarypublication.primarycitationFellner, K, Kniely, M. Uniform convergence to equilibrium for a family of drift–diffusion models with trap-assisted recombination and self-consistent potential. Math Meth Appl Sci. 2021; 44( 17): 13040- 13059. https://doi.org/10.1002/mma.7604de
eldorado.secondarypublication.primaryidentifierhttps://doi.org/10.1002/mma.7604de

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