Data di Pubblicazione:
2019
Citazione:
The Symmetries of Octupolar Tensors / G. Gaeta, E.G. Virga. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - 135:1-2(2019 Apr 15), pp. 295-350.
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Generalized (nonlinear) eigenvalues and eigenvectors; Octupolar tensors; Order tensors; Phase transitions
Elenco autori:
G. Gaeta, E.G. Virga
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