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arXiv · 2006.10774

Black Rubber and the Non-linear Elastic Response of Scale Invariant Solids

Matteo Baggioli·Victor Cancer Castillo·Oriol Pujolas
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Abstract

We discuss the nonlinear elastic response in scale invariant solids. Following previous work, we split the analysis into two basic options: according to whether scale invariance (SI) is a manifest or a spontaneously broken symmetry. In the latter case, one can employ effective field theory methods, whereas in the former we use holographic methods. We focus on a simple class of holographic models that exhibit elastic behaviour, and obtain their nonlinear stress-strain curves as well as an estimate of the elasticity bounds - the maximum possible deformation in the elastic (reversible) regime. The bounds differ substantially in the manifest or spontaneously broken SI cases, even when the same stress-strain curve is assumed in both cases. Additionally, the hyper-elastic subset of models (that allow for large deformations) is found to have stress-strain curves akin to natural rubber. The holographic instances in this category, which we dub black rubber, display richer stress-strain curves - with two different power-law regimes at different magnitudes of the strain.

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Matteo Baggioli, Victor Cancer Castillo, Oriol Pujolas. 2020-06-18. Black Rubber and the Non-linear Elastic Response of Scale Invariant Solids. https://doi.org/10.1007/jhep09(2020)013

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