Dynamic constitutive relations for polarization and magnetization.
Dynamic constitutive relations for polarization and magnetization.
复制标题
极化和磁化强度的动态本构关系。
DOI：
10.1103/physreve.64.056127
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
P. Kabos
中科院分区：
文献类型：
--
作者：
J. Baker;P. Kabos
在本文中，我们开发的本构关系的磁化强度和极化可能取决于电场和磁场的材料。该方法是一般的，是基于以前开发的弹性力学理论。在微观位移场中，我们不仅考虑了四极矩密度，而且考虑了偶极矩密度。这在本构方程中产生了电梯度项。这导致原点不变性的多极矩从麦克斯韦方程的定义。我们提出的德拜和朗道-Lifshitz运动方程，这是有效的非平衡态和包含内存的推广。极化和磁化演化方程中的可逆项和弛豫项包含了磁电耦合的可能性。利用本构关系，我们从哈密顿方法推导出位移场和感应场的演化方程。
In this paper we develop constitutive relations for materials where the magnetization and polarization may depend on both the electric and magnetic fields. The approach is general, and is based on a previously developed statistical-mechanical theory. We include the quadrupole-moment density as well as the dipole-moment density in the microscopic displacement field. This yields an electric gradient term in the constitutive equations. This leads to origin invariance in the multipole moments from which Maxwell's equations are defined. We present generalizations of Debye and Landau-Lifshitz equations of motion which are valid for nonequilibrium and contain memory. The reversible and relaxation terms in the polarization and magnetization evolution equations include the possibility of magnetoelectric coupling. Using constitutive relationship, we derive evolution equations for the displacement and induction fields from a Hamiltonian approach.