Field theory of dissipative systems with gapped momentum states

Baggioli, Matteo; Бражкин, В. В.; Trachenko, Kostya

doi:10.1103/physrevd.102.025012

Cited by 21 publications

(18 citation statements)

References 68 publications

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“…The thermal waves reveal a collective liquid response (i.e., long range intermolecular interactions). This is in agreement with recent experimental and theoretical results indicating that liquids support shear waves at low scale [ 11 , 12 , 13 , 14 , 17 , 19 , 20 , 21 , 22 ], and experimentally identified in various simple and complex fluids [ 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 ]. Low frequency shear elasticity measures the strength of the intermolecular interactions.…”

Section: Discussionsupporting

confidence: 92%

“…It has been shown that the strong liquid/substrate interaction amplifies the fluid response to a mechanical field and has revealed the existence of a mesoscopic “static” shear elasticity (0.1–10 Hz) in various fluids including polymer melts and molecular liquids [ 4 , 5 , 6 , 7 , 8 , 9 , 10 ]. The shear elasticity of fluids is a scale dependent property, the force of which increases as the probed scale decreases [ 11 , 12 , 13 , 14 ]. Figure 1 illustrates the spectacular transition from viscous (the viscous modulus G ” scaling with the square of the frequency ω 2 ) to an elastic-like response (the shear modulus G ’ dominates and is independent of the frequency) of the mesoscopic mechanical response of the glycerol in standard conditions and when using a high wetting substrate [ 9 ].…”

Section: Introductionmentioning

confidence: 99%

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Highlighting Thermo-Elastic Effects in Confined Fluids

2021

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The recent identification of a finite shear elasticity in mesoscopic fluids has motivated the search of other solid-like properties of liquids. We present an innovative thermal approach of liquids. We identify a dynamic thermo-elastic mesoscopic behavior by building the thermal image produced by different liquids upon applying a low frequency mechanical shear field. We selected three fluids: a low molecular weight polybutylacrylate (PBuA), polypropyleneglycol (PPG), and glycerol. We demonstrate that a part of the energy of the shear strain is converted in cold and hot shear bands varying synchronously with the applied shear field. This thermodynamic change suggests a coupling to shear elastic modes in agreement with the low frequency shear elasticity theoretically foreseen and experimentally demonstrated.

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Section: Discussionsupporting

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Highlighting Thermo-Elastic Effects in Confined Fluids

2021

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“…This equation has been recently extensively discussed in the context of liquids dynamics and it gives rise to the so-called gapped momentum states [116], which have been observed in holographic models [79,117]. This relation, which can be obtained using quasi-hydrodynamics [118] and field theory for dissipative systems [119], implies that the shear diffusive mode (54) survives only up to a certain cutoff momentum:…”

Section: Causality Of Relativistic Hydrodynamics As a Diffusivity Boundmentioning

confidence: 98%

Universal bounds on transport in holographic systems with broken translations

Baggioli

2020

SciPost Phys.

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We study the presence of universal bounds on transport in homogeneous holographic models with broken translations. We verify numerically that, in holographic systems with momentum dissipation, the viscosity to entropy bound might be violated but the shear diffusion constant remains bounded by below. This confirms the idea that \eta/sη/s loses its privileged role in non-relativistic systems and that, in order to find more universal bounds, one should rather look at diffusion constants. We strengthen this idea by showing that, in presence of spontaneously broken translations, the Goldstone diffusion constant satisfies a universal lower bound in terms of the Planckian relaxation time and the butterfly velocity. Additionally, all the diffusive processes in the model satisfy an upper bound, imposed by causality, which is given in terms of the thermalization time – the imaginary part of the first non-hydrodynamic mode in the spectrum – and the speed of longitudinal sound. Finally, we discuss the existence of a bound on the speed of sound in holographic conformal solids and we show that the conformal value acts as a lower (and not upper) bound on the speed of longitudinal phonons. Nevertheless, we show that the stiffness \partial p/\partial \epsilon∂p/∂ϵ is still bounded by above by its conformal value. This suggests that the bounds conjectured in the past have to be considered on the stiffness of the system, related to its equation of state, and not on the propagation speed of sound.

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“…This equation has been recently extensively discussed in the context of liquids dynamics and it gives rise to the so-called gapped momentum states [114], which have been observed in holographic models [76,115]. This relation, which can be obtained using quasi-hydrodynamics [116] and field theory for dissipative systems [117], implies that the shear diffusive mode (53) survives only up to a certain cutoff momentum:…”

Section: Causality Of Relativistic Hydrodynamics As a Diffusivity Boundmentioning

confidence: 98%

Report on scipost_202005_00007v1

2020

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We study the presence of universal bounds on transport in homogeneous holographic models with broken translations. We prove numerically that, in holographic systems with momentum dissipation, the viscosity to entropy bound might be violated but the shear diffusion constant remains bounded by below. This confirms the idea that η/s is not a meaningful quantity in non-relativistic systems and that, in order to find more universal bounds, one should rather look at diffusion constants. We strengthen this idea by showing that, in presence of spontaneously broken translations, the Goldstone diffusion constant satisfies a universal lower bound in terms of the Planckian relaxation time and the butterfly velocity. Additionally, all the diffusive processes in the model satisfy an upper bound, imposed by causality, which is given in terms of the thermalization time-the imaginary part of the first non-hydrodynamic mode in the spectrum-and the speed of longitudinal sound. Finally, we discuss the existence of a bound on the speed of sound in holographic conformal solids and we show that the conformal value acts as a lower (and not upper) bound on the speed of longitudinal phonons. Nevertheless, we prove that the stiffness ∂p/∂ is still bounded by above by its conformal value. This suggests that the bounds conjectured in the past have to be considered on the stiffness of the system, related to its equation of state, and not on the propagation speed of sound. Contents 4.2 Results from holography 16 5 Bounds on the speed of sound and the stiffness 17 6 Conclusions 21 References 23

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Field theory of dissipative systems with gapped momentum states

Cited by 21 publications

References 68 publications

Highlighting Thermo-Elastic Effects in Confined Fluids

Highlighting Thermo-Elastic Effects in Confined Fluids

Universal bounds on transport in holographic systems with broken translations

Report on scipost_202005_00007v1

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