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Octupolar order in two dimensions

Published 16 Mar 2015 in cond-mat.soft | (1503.04595v2)

Abstract: Octupolar order is described in two space dimensions in terms of the maxima (and conjugated minima) of the probability density associated with a third-rank, fully symmetric and traceless tensor. Such a representation is shown to be equivalent to diagonalizing the relevant third-rank tensor, an equivalence which however is only valid in the two-dimensional case.

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