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Numerical modeling and investigations of 3D devices with ferroelectric layer fully embedded in a paraelectric environment

机译:完全嵌入顺电环境中的铁电层3D装置的数值建模和研究

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We investigate three-dimensional devices made up of a ferroelectric layer that is fully embedded in a paraelectric environment, by modeling based on the Ginzburg-Landau formalism as well as on the Electrostatics equations, and boundary conditions that are suitable for applications. From finite element approximations and inexact Newton techniques for solving numerically the resulting nonlinear system, we develop two numerical protocols. The first protocol concerns a determination of states related to the system and incorporates a process of heating as well as of cooling of devices, in terms of the temperature, whereas the second one is devoted to the existence study of hysteresis loops. The efficiency of these protocols is particularly emphasized from numerical simulations. (C) 2018 Elsevier Ltd. All rights reserved.
机译:我们通过基于Ginzburg-Landau形式主义以及静电学方程和适合应用的边界条件进行建模,研究了由完全嵌入顺电环境中的铁电层组成的三维设备。从有限元逼近和不精确的牛顿技术求解数值非线性系统,我们开发了两个数值协议。第一个协议涉及确定与系统相关的状态,并结合了加热和冷却设备的过程(就温度而言),而第二个协议则致力于滞后回线的存在性研究。这些协议的效率从数值模拟中特别强调。 (C)2018 Elsevier Ltd.保留所有权利。

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