2021
DOI: 10.48550/arxiv.2108.13124
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Non-linear elasticity, yielding and entropy in amorphous solids

Deng Pan,
Teng Ji,
Matteo Baggioli
et al.

Abstract: The holographic principle has proven successful in linking seemingly unrelated problems in physics; a famous example is the gauge-gravity duality 1 . Recently, intriguing correspondences between the physics of soft matter and gravity are emerging 2, 3 , including strong similarities between the rheology of amorphous solids, effective field theories for elasticity and the physics of black holes 4-7 . However, direct comparisons between theoretical predictions and experimental/simulation observations remain limi… Show more

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Cited by 3 publications
(5 citation statements)
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“…[70][71][72]). Finally, our results provide another case in favor of "the unreasonable effectiveness of hydrodynamics" [73,74] and might have a physical impact not only on the out-of-equilibrium dynamics in heavy-ion collisions and QGP [20,23,75,76] but also on the understanding and characterization of rheological response of complex fluids [63,67,77] using the holographic tool [78].…”
mentioning
confidence: 90%
See 1 more Smart Citation
“…[70][71][72]). Finally, our results provide another case in favor of "the unreasonable effectiveness of hydrodynamics" [73,74] and might have a physical impact not only on the out-of-equilibrium dynamics in heavy-ion collisions and QGP [20,23,75,76] but also on the understanding and characterization of rheological response of complex fluids [63,67,77] using the holographic tool [78].…”
mentioning
confidence: 90%
“…Finally, let us emphasize that one could equivalently introduce a non-trivial strain into the dual field theory using the profile of the scalars ψ I . In particular, a shear strain could be simply obtained by allowing for a background of the type ψ 1 ∼ y as done in [77,84,85]. For practical reasons, we found more convenient to introduce the strain via a metric deformation.…”
Section: S2 On the Definition Of Strain And Stressmentioning
confidence: 99%
“…Before proceeding to the results of our work, let us briefly describe how the holographic model at hand naturally includes mechanical deformations. Our notations follow closely the ones adopted in the EFT framework of [82,83]. Importantly, we will assume the deformations to be finite, or even large, and we will therefore consider the full framework of nonlinear elasticity.…”
Section: On the Definition Of Mechanical Deformations In Holographymentioning
confidence: 99%
“…Nevertheless, nonlinear elastic response can be obtained using holographic methods, yielding a rich phenomenology of nonlinear elasticity behaviours, see e.g. [22][23][24][25]. Given the full stress-strain curves, one can define the nonlinear elastic shear modulus G ≡ dΣ/dε.…”
Section: Shear Softening and Hardeningmentioning
confidence: 99%
“…In holography, the non-linear mechanical response was first introduced in [21] where the nonlinear stressstrain curves as well as an estimate of the elasticity bounds in the elastic regime were discussed. More recently, based on the effective field theory and holographic duality, a potential relationship among the nonlinear elasticity, yielding and entropy of granular matter was suggested and then verified by computer simulations of granular models [22]. The thermodynamic and mechanical properties of a holographic bottom-up model for the supersolid were considered in [23].…”
Section: Introductionmentioning
confidence: 99%