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  1. Book ; Online: Uniform estimate of the relative free energy by the dissipation rate for finite volume discretized reaction-diffusion systems

    Fiebach, André / Glitzky, Annegret

    (Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik ; 1934)

    2014  

    Author's details André Fiebach; Annegret Glitzky
    Series title Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik ; 1934
    Language English
    Size Online-Ressource (PDF-Datei: 10 S., 215 KB)
    Publisher Niedersächsische Staats- und Universitätsbibliothek ; Technische Informationsbibliothek u. Universitätsbibliothek ; Weierstraß-Inst. für Angewandte Analysis und Stochastik Leibniz-Inst. im Forschungsverbund Berlin e.V
    Publishing place Göttingen ; Hannover ; Berlin
    Document type Book ; Online
    Database Library catalogue of the German National Library of Science and Technology (TIB), Hannover

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    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  2. Book ; Online: Energy estimates for electro-reaction-diffusion systems with partly fast kinetics

    Glitzky, Annegret

    (Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik ; 1158)

    2006  

    Abstract: We start from a basic model for the transport of charged species in heterostructures containing the mechanisms diffusion, drift and reactions in the domain and at its boundary. Considering limit cases of partly fast kinetics we derive reduced models. ... ...

    Author's details Annegret Glitzky
    Series title Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik ; 1158
    Abstract We start from a basic model for the transport of charged species in heterostructures containing the mechanisms diffusion, drift and reactions in the domain and at its boundary. Considering limit cases of partly fast kinetics we derive reduced models. This reduction can be interpreted as some kind of projection scheme for the weak formulation of the basic electro--reaction--diffusion system. We verify assertions concerning invariants and steady states and prove the monotone and exponential decay of the free energy along solutions to the reduced problem and to its fully implicit discrete-time version by means of the results of the basic problem. Moreover we make a comparison of prolongated quantities with the solutions to the basic model.
    Language English
    Size Online-Ressource (PDF-Datei: 23 S., 232 KB)
    Publisher Niedersächsische Staats- und Universitätsbibliothek ; WIAS, Weierstraß-Inst. für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e. V
    Publishing place Göttingen ; Berlin
    Document type Book ; Online
    Note Unterschiede zwischen dem gedruckten Dokument und der elektronischen Ressource können nicht ausgeschlossen werden
    Database Library catalogue of the German National Library of Science and Technology (TIB), Hannover

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    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  3. Book: Analysis of electronic models for solar cells including energy resolved defect densities

    Glitzky, Annegret

    (Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. ; 1524)

    2010  

    Author's details Annegret Glitzky
    Series title Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. ; 1524
    Language English
    Size 26 S.
    Publisher WIAS
    Publishing place Berlin
    Document type Book
    Note Unterschiede zwischen dem gedruckten Dokument und der elektronischen Ressource können nicht ausgeschlossen werden. - Auch als elektronische Ausg. vorhanden
    Database Library catalogue of the German National Library of Science and Technology (TIB), Hannover

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    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  4. Article ; Online: Experimental proof of Joule heating-induced switched-back regions in OLEDs.

    Kirch, Anton / Fischer, Axel / Liero, Matthias / Fuhrmann, Jürgen / Glitzky, Annegret / Reineke, Sebastian

    Light, science & applications

    2020  Volume 9, Page(s) 5

    Abstract: Organic light-emitting diodes (OLEDs) have become a major pixel technology in the display sector, with products spanning the entire range of current panel sizes. The ability to freely scale the active area to large and random surfaces paired with ... ...

    Abstract Organic light-emitting diodes (OLEDs) have become a major pixel technology in the display sector, with products spanning the entire range of current panel sizes. The ability to freely scale the active area to large and random surfaces paired with flexible substrates provides additional application scenarios for OLEDs in the general lighting, automotive, and signage sectors. These applications require higher brightness and, thus, current density operation compared to the specifications needed for general displays. As extended transparent electrodes pose a significant ohmic resistance, OLEDs suffering from Joule self-heating exhibit spatial inhomogeneities in electrical potential, current density, and hence luminance. In this article, we provide experimental proof of the theoretical prediction that OLEDs will display regions of decreasing luminance with increasing driving current. With a two-dimensional OLED model, we can conclude that these regions are switched back locally in voltage as well as current due to insufficient lateral thermal coupling. Experimentally, we demonstrate this effect in lab-scale devices and derive that it becomes more severe with increasing pixel size, which implies its significance for large-area, high-brightness use cases of OLEDs. Equally, these non-linear switching effects cannot be ignored with respect to the long-term operation and stability of OLEDs; in particular, they might be important for the understanding of sudden-death scenarios.
    Language English
    Publishing date 2020-01-10
    Publishing country England
    Document type Journal Article
    ZDB-ID 2662628-7
    ISSN 2047-7538 ; 2047-7538
    ISSN (online) 2047-7538
    ISSN 2047-7538
    DOI 10.1038/s41377-019-0236-9
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  5. Book: Uniform exponential decay of the free energy for Voronoi finite volume discretized reaction-diffusion systems

    Glitzky, Annegret

    (Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. ; 1443)

    2009  

    Author's details Annegret Glitzky
    Series title Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. ; 1443
    Language English
    Size 19 S., 30 cm
    Publisher WIAS
    Publishing place Berlin
    Document type Book
    Note Literaturverz. S. 18 - 19 ; Unterschiede zwischen dem gedruckten Dokument und der elektronischen Ressource können nicht ausgeschlossen werden. - Auch als elektronische Ausg. vorhanden
    Database Library catalogue of the German National Library of Science and Technology (TIB), Hannover

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    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  6. Book: Exponential decay of the free energy for discretized electro-reaction-diffusion systems

    Glitzky, Annegret

    (Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik ; 1291)

    2008  

    Abstract: Our focus are electro-reaction-diffusion systems consisting of continuity equations for a finite number of species coupled with a Poisson equation. We take into account heterostructures, anisotropic materials and rather general statistical relations. We ... ...

    Author's details Annegret Glitzky
    Series title Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik ; 1291
    Abstract Our focus are electro-reaction-diffusion systems consisting of continuity equations for a finite number of species coupled with a Poisson equation. We take into account heterostructures, anisotropic materials and rather general statistical relations. We introduce a discretization scheme (in space and fully implicit in time) using a fixed grid but for each species different Voronoi boxes which are defined with respect to the anisotropy matrix occurring in the flux term of this species. This scheme has the special property that it preserves the main features of the continuous systems, namely positivity, dissipativity and flux conservation. For the discretized electro-reaction-diffusion system we investigate thermodynamic equilibria and prove for solutions to the evolution system the monotone and exponential decay of the free energy to its equilibrium value. The essential idea is an estimate of the free energy by the dissipation rate which is proved indirectly.
    Language English
    Size 23 S.
    Publisher WIAS
    Publishing place Berlin
    Document type Book
    Note Unterschiede zwischen dem gedruckten Dokument und der elektronischen Ressource können nicht ausgeschlossen werden. - Auch als elektronische Ausg. vorhanden
    Database Library catalogue of the German National Library of Science and Technology (TIB), Hannover

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    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  7. Book: Analysis of a spin-polarized drift-diffusion model

    Glitzky, Annegret

    (Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik ; 1300)

    2008  

    Abstract: We introduce a spin-polarized drift-diffusion model for semiconductor spintronic devices. This coupled system of continuity equations and a Poisson equation with mixed boundary conditions in all equations has to be considered in heterostructures. We give ...

    Author's details Annegret Glitzky
    Series title Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik ; 1300
    Abstract We introduce a spin-polarized drift-diffusion model for semiconductor spintronic devices. This coupled system of continuity equations and a Poisson equation with mixed boundary conditions in all equations has to be considered in heterostructures. We give a weak formulation of this problem and prove an existence and uniqueness result for the instationary problem. If the boundary data is compatible with thermodynamic equilibrium the free energy along the solution decays monotonously and exponentially to its equilibrium value. In other cases it may be increasing but we estimate its growth. Moreover we give upper and lower estimates for the solution.
    Language English
    Size 24 S.
    Publisher WIAS
    Publishing place Berlin
    Document type Book
    Note Unterschiede zwischen dem gedruckten Dokument und der elektronischen Ressource können nicht ausgeschlossen werden. - Auch als elektronische Ausg. vorhanden
    Database Library catalogue of the German National Library of Science and Technology (TIB), Hannover

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    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  8. Book ; Online: Convergence of an implicit Voronoi finite volume method for reaction-diffusion problems

    Fiebach, André / Glitzky, Annegret / Linke, Alexander

    (Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik ; 1827)

    2013  

    Abstract: We investigate the convergence of an implicit Voronoi finite volume method for reaction- diffusion problems including nonlinear diffusion in two space dimensions. The model allows to handle heterogeneous materials and uses the chemical potentials of the ... ...

    Author's details André Fiebach; Annegret Glitzky; Alexander Linke
    Series title Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik ; 1827
    Abstract We investigate the convergence of an implicit Voronoi finite volume method for reaction- diffusion problems including nonlinear diffusion in two space dimensions. The model allows to handle heterogeneous materials and uses the chemical potentials of the involved species as primary variables. The numerical scheme uses boundary conforming Delaunay meshes and preserves positivity and the dissipative property of the continuous system. Starting from a result on the global stability of the scheme (uniform, mesh-independent global upper and lower bounds), we prove strong convergence of the chemical activities and their gradients to a weak solution of the continuous problem. In order to illustrate the preservation of qualitative properties by the numerical scheme, we present a long-term simulation of the Michaelis-Menten-Henri system. Especially, we investigate the decay properties of the relative free energy and the evolution of the dissipation rate over several magnitudes of time, and obtain experimental orders of convergence for these quantities.
    Language English
    Size Online-Ressource (PDF-Datei: 32 S., 3.147 KB)
    Publisher Technische Informationsbibliothek u. Universitätsbibliothek ; WIAS, Weierstraß-Inst. für Angewandte Analysis und Stochastik
    Publishing place Hannover ; Berlin
    Document type Book ; Online
    Note Unterschiede zwischen dem gedruckten Dokument und der elektronischen Ressource können nicht ausgeschlossen werden
    Database Library catalogue of the German National Library of Science and Technology (TIB), Hannover

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    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  9. Book ; Online: Energy estimates for continuous and discretized electro-reaction-diffusion systems

    Gärtner, Klaus / Glitzky, Annegret

    (Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik ; 1222)

    2007  

    Author's details Annegret Glitzky; Klaus Gärtner
    Series title Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik ; 1222
    Language English
    Size Online-Ressource (23 S., 231 KB), graph. Darst.
    Publisher Niedersächsische Staats- und Universitätsbibliothek ; Technische Informationsbibliothek u. Universitätsbibliothek ; WIAS
    Publishing place Göttingen ; Hannover ; Berlin
    Document type Book ; Online
    Note Unterschiede zwischen dem gedruckten Dokument und der elektronischen Ressource können nicht ausgeschlossen werden. - Auch als gedr. Ausg. vorhanden
    Database Library catalogue of the German National Library of Science and Technology (TIB), Hannover

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    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  10. Book: Energy estimates for electro-reaction-diffusion systems with partly fast kinetics

    Glitzky, Annegret

    (Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik ; 1158)

    2006  

    Abstract: We start from a basic model for the transport of charged species in heterostructures containing the mechanisms diffusion, drift and reactions in the domain and at its boundary. Considering limit cases of partly fast kinetics we derive reduced models. ... ...

    Author's details Annegret Glitzky
    Series title Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik ; 1158
    Abstract We start from a basic model for the transport of charged species in heterostructures containing the mechanisms diffusion, drift and reactions in the domain and at its boundary. Considering limit cases of partly fast kinetics we derive reduced models. This reduction can be interpreted as some kind of projection scheme for the weak formulation of the basic electro--reaction--diffusion system. We verify assertions concerning invariants and steady states and prove the monotone and exponential decay of the free energy along solutions to the reduced problem and to its fully implicit discrete-time version by means of the results of the basic problem. Moreover we make a comparison of prolongated quantities with the solutions to the basic model.
    Language English
    Size 21 S.
    Publisher WIAS
    Publishing place Berlin
    Document type Book
    Database Library catalogue of the German National Library of Science and Technology (TIB), Hannover

    More links

    Kategorien

    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

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