TY - GEN A1 - Liero, Matthias A1 - Glitzky, Annegret A1 - Koprucki, Thomas A1 - Fuhrmann, Jürgen A1 - fischer, Axel T1 - A PDE model for electrothermal feedback in organic semiconductor devices N2 - Large-area organic light-emitting diodes are thin-film multilayer devices that show pronounced self-heating and brightness inhomogeneities at high currents. As these high currents are typical for lighting applications, a deeper understanding of the mechanisms causing these inhomogeneities is necessary. We discuss the modeling of the interplay between current flow, self-heating, and heat transfer in such devices using a system of partial differential equations of thermistor type, that is capable of explaining the development of luminance inhomogeneities. The system is based on the heat equation for the temperature coupled to a p(x)-Laplace-type equation for the electrostatic potential with mixed boundary conditions. The p(x)-Laplacian allows to take into account non-Ohmic electrical behavior of the different organic layers. Moreover, we present analytical results on the existence, boundedness, and regularity of solutions to the system. A numerical scheme based on the finite-volume method allows for efficient simulations of device structures. KW - Organic semiconductor devices KW - thermistor model KW - p(x)-Laplacian KW - heat flow KW - electrothermal feedback KW - Arrhenius law KW - finite-volume method Y1 - 2016 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1393 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-13937 ER -