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.
The Newtonian potential and the demagnetizing factors of the general ellipsoid / Di Fratta, G.. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A. - ISSN 1364-5021. - 472:2190(2016), p. 20160197. [10.1098/rspa.2016.0197]
The Newtonian potential and the demagnetizing factors of the general ellipsoid
Di Fratta G.
2016
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.