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The Newtonian potential and the demagnetizing factors of the general ellipsoid.

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 [Formula: see text] (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 [Formula: see text], 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.

SUBMITTER: Di Fratta G

PROVIDER: S-EPMC4950212 | biostudies-other | 2016 Jun

REPOSITORIES: biostudies-other

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The Newtonian potential and the demagnetizing factors of the general ellipsoid.

Di Fratta Giovanni G

Proceedings. Mathematical, physical, and engineering sciences 20160601 2190

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 [Formula: see text] (with <i>N</i>≥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 [Formula: see text], which permits to reduce the <i> ...[more]

PMID: 27436988

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