Elastic properties of anisotropic domain wall lattices

Abstract

Interest in the elastic properties of regular lattices constructed from domain walls has recently been motivated by cosmological applications as solid dark energy. This work investigates the particularly simple examples of triangular, hexagonal and square lattices in two dimensions and a variety of more complicated lattices in three dimensions which have cubic symmetry. The relevant rigidity coefficients are computed taking into account non-affine perturbations where necessary, and these are used to evaluate the propagation velocity for any macroscopic scale perturbation mode. Using this information we assess the stability of the various configurations.

arXiv comment16 pages, 7 figures

References in corpus (5)

• Is the Dark Matter a Solid?
• Rigidity and stability of cold dark solid universe model
• Covariant Newtonian and Relativistic dynamics of (magneto)-elastic solid model for neutron star crust
• Constraints on the solid dark universe model
• Interaction of gravitational waves with an elastic solid medium

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• Stability of winding cosmic wall lattices with X type junctions
• Exact solutions of domain wall junctions in arbitrary dimensions
• The role of domain wall junctions in Carter's pentahedral model
• X-type and Y-type junction stability in domain wall networks
• On the energy of topological defect lattices
• Phantom Domain Walls