麦克斯韦方程组的协变滞后本构理论：在轴向旋转介质中的应用
Covariant Hysteretic Constitutive Theory for Maxwell's equations: Application to Axially Rotating Media
摘要：
本文在协变宏观Maxwell理论框架下研究了一类记忆材料的非线性本构关系。基于早期的滞后铁磁材料的响应模型，规定缓慢变化的磁背景场，广义模型进行了探讨，适用于加速滞后磁电物质耦合自洽麦克斯韦场。使用一个参数化的模型与实验数据一致的一个特定的材料，表现出纯粹的铁电滞后时，在一个缓慢变化的电场，本构模型的构建，允许其响应的数值分析驱动谐波电磁场在一个矩形腔。然后将该响应与其在腔体中设置为均匀旋转运动时的预测响应进行对比。
英文摘要：
This paper explores a class of non-linear constitutive relations for materials with memory in the framework of covariant macroscopic Maxwell theory. Based on earlier models for the response of hysteretic ferromagnetic materials to prescribed slowly varying magnetic background fields, generalized models are explored that are applicable to accelerating hysteretic magneto-electric substances coupled self-consistently to Maxwell fields. Using a parameterized model consistent with experimental data for a particular material that exhibits purely ferroelectric hysteresis when at rest in a slowly varying electric field, a constitutive model is constructed that permits a numerical analysis of its response to a driven harmonic electromagnetic field in a rectangular cavity. This response is then contrasted with its predicted response when set in uniform rotary motion in the cavity.
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