p-Laplace thermistor modeling of electrothermal feedback in organic semiconductor devices
p-Laplace thermistor modeling of electrothermal feedback in organic semiconductor devices
复制标题
有机半导体器件中电热反馈的 p-拉普拉斯热敏电阻建模
DOI：
--
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
A. Glitzky
中科院分区：
文献类型：
--
作者：
M. Liero;T. Koprucki;A. Fischer;R. Scholz;A. Glitzky
在大面积有机发光二极管（OLED）中，由于不均匀的电流流动和电热反馈，可以观察到高功率下空间不均匀的亮度。为了描述有机半导体中的这些自热效应，我们提出了一种固定热敏电阻模型，该模型基于温度的热方程与具有混合边界条件的静电势的 p-拉普拉斯型方程。 p-拉普拉斯算子描述了有机材料的非欧姆电气行为。此外，还考虑了电导率的类似阿累尼乌斯温度依赖性。我们为该系统引入了有限体积方案，并讨论了它与最新 OLED 网络模型的关系。在二维空间维度中，我们得出了温度和静电势的先验估计，并通过 Schauder 不动点定理证明了弱解的存在。
In large-area organic light-emitting diodes (OLEDs), spatially inhomogeneous luminance at high power due to inhomogeneous current flow and electrothermal feedback can be observed. To describe these self-heating effects in organic semiconductors, we present a stationary thermistor model based on the heat equation for the temperature coupled to a p-Laplace-type equation for the electrostatic potential with mixed boundary conditions. The p-Laplacian describes the non-Ohmic electrical behavior of the organic material. Moreover, an Arrhenius-like temperature dependency of the electrical conductivity is considered. We introduce a finite-volume scheme for the system and discuss its relation to recent network models for OLEDs. In two spatial dimensions, we derive a priori estimates for the temperature and the electrostatic potential and prove the existence of a weak solution by Schauder’s fixed-point theorem.