关于 $\mathbb R^3$ 中静磁相互作用的注记

中文摘要 AI 辅助

本文提出了一种紧凑的静磁学表述。在不使用本构关系（包括以太关系）的情况下，针对在矢量势场中携带磁偶极子分布的区域，提出了势能的表达式，其中偶极子分布由电流密度势场指定。假设在偶极子分布的虚拟运动过程中，场所做的虚功等于势能对时间的导数的负值，则推导出机械力泛函的表达式。除了洛伦兹力和开尔文力密度外，该力泛函还包含一个不对称的有源应力场（其反对称部分为机械力偶密度）以及一个压力项。

英文摘要

A compact formulation of magnetostatics is presented. Without using constitutive relations, including the aether relations, an expression is proposed for the potential energy of a region carrying a distribution of magnetic dipoles under a vector potential field, where the dipole distribution is specified by a current density potential field. Assuming that during a virtual motion of the dipole distribution the virtual work expended by the field is equal to minus the time derivative of the potential energy, an expression for the mechanical force functional is derived. In addition to the Lorentz and Kelvin force densities, the force functional contains an asymmetric active stress field, the skew-symmetric part of which is the mechanical couple density, and a pressure term.

发表机构

• Ben-Gurion University of the Negev（内盖夫本-古里安大学）
• Technische Universität Berlin（柏林工业大学）

机构由 AI 辅助整理，请以论文原文为准。