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Mathematical Physics

arXiv:1812.08890 (math-ph)
[Submitted on 20 Dec 2018]

Title:The symmetries of octupolar tensors

Authors:Giuseppe Gaeta, Epifanio G. Virga
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Abstract:Octupolar tensors are third order, completely symmetric and traceless tensors. Whereas in 2D an octupolar tensor has the same symmetries as an equilateral triangle and can ultimately be identified with a vector in the plane, the symmetries that it enjoys in 3D are quite different, and only exceptionally reduce to those of a regular tetrahedron. By use of the octupolar potential that is, the cubic form associated on the unit sphere with an octupolar tensor, we shall classify all inequivalent octupolar symmetries. This is a mathematical study which also reviews and incorporates some previous, less systematic attempts.
Subjects: Mathematical Physics (math-ph); Soft Condensed Matter (cond-mat.soft)
Cite as: arXiv:1812.08890 [math-ph]
  (or arXiv:1812.08890v1 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.1812.08890

Submission history

From: Epifanio G. Virga Prof. [view email]
[v1] Thu, 20 Dec 2018 23:40:06 UTC (3,160 KB)
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