The Newtonian potential and the demagnetizing factors of the general ellipsoid
The Newtonian potential and the demagnetizing factors of the general ellipsoid
复制标题
牛顿势与一般椭球体的退磁因素
DOI：
10.1098/rspa.2016.0197
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Giovanni Di Fratta
中科院分区：
文献类型：
--
作者：
Giovanni Di Fratta
本文的目的是提出一种现代、简洁的新推导，用于显式表达 RN 中齐次椭球域（N≥3）产生的内部和外部牛顿势。这个非常简短的论证本质上是基于雷诺输运定理与 RN 有界域上平滑函数的格林-斯托克斯积分表示公式的应用，这允许将 N 维问题简化为一维问题。由于其物理相关性，单独的一节专门讨论一般椭球体的退磁因子的推导，这是铁磁性中最基本的量之一。
The objective of this paper is to present a modern and concise new derivation for the explicit expression of the interior and exterior Newtonian potential generated by homogeneous ellipsoidal domains in RN (with N≥3). The very short argument is essentially based on the application of Reynold's transport theorem in connection with the Green–Stokes integral representation formula for smooth functions on bounded domains of RN, which permits to reduce the N-dimensional problem to a one-dimensional one. Owing to its physical relevance, a separate section is devoted to the the derivation of the demagnetizing factors of the general ellipsoid which are one of the most fundamental quantities in ferromagnetism.