Octupolar order in two dimensions
arXiv:1503.04595 · doi:10.1140/epje/i2015-15063-x
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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- Octupolar Tensors for Liquid Crystals
- Liquid Crystal Distortions Revealed by an Octupolar Tensor
- Tetrahedral Order in Liquid Crystals
- Shapes and singularities in triatic liquid crystal vesicles
- Eigenvectors of tensors - A primer
- Lifting map for ordered surfaces
- Transposes, L-Eigenvalues and Invariants of Third Order Tensors
- Massive Higher-Spin Fields in the Fractional Quantum Hall Effect
- Regularly Decomposable Tensors and Classical Spin States
- The symmetries of octupolar tensors