Non-linear elasticity, yielding and entropy in amorphous solids
arXiv:2108.13124 · doi:10.1126/sciadv.abm8028
Abstract
The holographic duality has proven successful in linking seemingly unrelated problems in physics.Recently, intriguing correspondences between the physics of soft matter and gravity are emerging,including strong similarities between the rheology of amorphous solids, effective field theories for elasticity and the physics of black holes. However, direct comparisons between theoretical predictions and experimental/simulation observations remain limited. Here, we study the effects of non-linear elasticity on the mechanical and thermodynamic properties of amorphous materials responding to shear, using effective field and gravitational theories. The predicted correlations among the non-linear elastic exponent, the yielding strain/stress and the entropy change due to shear are supported qualitatively by simulations of granular matter models. Our approach opens a path towards understanding complex mechanical responses of amorphous solids, such as mixed effects of shear softening and shear hardening, and offers the possibility to study the rheology of solid states and black holes in a unified framework.
24 pages, 21 figures
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Cited by in corpus (12)
- Colloquium: Hydrodynamics and holography of charge density wave phases
- A review on shear jamming
- Shear flows in far-from-equilibrium strongly coupled fluids
- Holographic Supersolids
- Hydrodynamic attractors for the speed of sound in holographic Bjorken flow
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- Shear hardening in frictionless amorphous solids near the jamming transition
- Phase transitions in a holographic superfluid model with non-linear terms beyond the probe limit
- Mechanical stability of homogeneous holographic solids under finite shear strain
- Black hole interiors of homogeneous holographic solids under shear strain
- Hydrodynamic modes in holographic multiple-axion model
- Holographic renormalization by Hamilton-Jacobi formulation with generated ansatz