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It was recently conjectured that the ratio of the shear viscosity to entropy density, $ \eta/ s$, for any fluid always exceeds $\hbar/(4 \pi k_B)$. This conjecture was motivated by quantum field theoretic results obtained via the AdS/CFT…

高能物理 - 理论 · 物理学 2008-11-26 Thomas D. Cohen

The ratio of shear viscosity to entropy density $\eta/s$ of any material in nature has been conjectured to have a lower bound of $1/4\pi$, the famous KSS bound. We examine string theory models for evidence in favour of and against this…

高能物理 - 理论 · 物理学 2009-11-18 Aninda Sinha , Robert C. Myers

The anti-de Sitter/conformal field theory (AdS/CFT) correspondence implies that small perturbations of a black hole correspond to small deviations from thermodynamic equilibrium in a dual field theory. For gauge theories with an Einstein…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Shahar Hod

The anti-de Sitter/conformal field theory correspondence (AdS/CFT) has been used to determine a lower bound on the ratio of shear viscosity $\left(\eta\right)$ to entropy density $(s)$ for strongly-coupled field theories with a gravity…

强关联电子 · 物理学 2019-06-28 Matthew P. Gochan , Hua Li , Kevin S. Bedell

We show that the generalized second law of thermodynamics may shed much light on the mysterious Kovtun-Son-Starinets (KSS) bound on the ratio of viscosity to entropy density. In particular, we obtain the lower bound $\eta/s…

高能物理 - 理论 · 物理学 2009-10-12 Shahar Hod

In recent work we showed that, for a class of conformal field theories (CFT) with Gauss-Bonnet gravity dual, the shear viscosity to entropy density ratio, $\eta/s$, could violate the conjectured Kovtun-Starinets-Son viscosity bound,…

高能物理 - 理论 · 物理学 2008-11-26 Mauro Brigante , Hong Liu , Robert C. Myers , Stephen Shenker , Sho Yaida

Motivated by the vast string landscape, we consider the shear viscosity to entropy density ratio in conformal field theories dual to Einstein gravity with curvature square corrections. After field redefinitions these theories reduce to…

高能物理 - 理论 · 物理学 2010-04-06 Mauro Brigante , Hong Liu , Robert C. Myers , Stephen Shenker , Sho Yaida

Starting from relativistic quantum field theories, Kovtun et al. (2005) have quite recently proposed a lower bound eta/s >= hbar /(4 pi kB), where eta is the shear viscosity and s the volume density of entropy for dense liquids. If their…

统计力学 · 物理学 2009-02-15 G. G. N. Angilella , N. H. March , F. M. D. Pellegrino , R. Pucci

This review highlights some of the lessons that the holographic gauge/gravity duality has taught us regarding the behavior of the shear viscosity to entropy density in strongly coupled field theories. The viscosity to entropy ratio has been…

高能物理 - 理论 · 物理学 2015-03-19 Sera Cremonini

A computation of the quotient of shear viscosity to entropy density, or KSS number $\eta/s$ is performed, in the non-relativistic and classical regime, first in Chiral Perturbation Theory, and then in the $SO(g+1)/SO(g)$ Non-Linear Sigma…

高能物理 - 理论 · 物理学 2008-11-26 Antonio Dobado , Felipe J. Llanes-Estrada

Many counterexamples to the proposed KSS bound $\frac\eta s \ge \frac 1 {4\pi}$ depend on constructing systems with large numbers of species. As a result, the entropy density grows large and $\frac \eta s$ can be made arbitrarily small.…

高能物理 - 理论 · 物理学 2021-11-17 Scott Lawrence

Eighty years ago Eyring proposed that the shear viscosity of a liquid, $\eta$, has a quantum limit $\eta \gtrsim n\hbar$ where $n$ is the density of the fluid. Using holographic duality and the AdS/CFT correspondence in string theory…

强关联电子 · 物理学 2015-09-30 Nandan Pakhira , Ross H. McKenzie

In the present paper, based on the principles of gauge/gravity duality we analytically compute the shear viscosity to entropy ratio corresponding to the superfluid phase in Einstein Gauss-Bonnet gravity. From our analysis we note that the…

高能物理 - 理论 · 物理学 2015-03-19 Arpan Bhattacharyya , Dibakar Roychowdhury

We argue that the Kovtun--Son--Starinets (KSS) lower bound on the viscosity to entropy density ratio holds in fluid systems but is violated in solid materials with a non-zero shear elastic modulus. We construct explicit examples of this by…

高能物理 - 理论 · 物理学 2017-01-13 Lasma Alberte , Matteo Baggioli , Oriol Pujolas

Near the horizon of a black brane solution in Anti-de Sitter space, the long-wavelength fluctuations of the metric exhibit hydrodynamic behaviour. For Einstein's theory, the ratio of the shear viscosity of near-horizon metric fluctuations…

高能物理 - 理论 · 物理学 2009-01-21 Ram Brustein , A. J. M. Medved

It has been conjectured, on the basis of the gauge-gravity duality, that the ratio of the shear viscosity to the entropy density should be universally bounded from below by 1/ 4 pi in units of the Planck constant divided by the Boltzmann…

高能物理 - 理论 · 物理学 2014-11-20 Ram Brustein , A. J. M. Medved

We discuss corrections to the ratio of shear viscosity to entropy density $\eta/s$ in higher-derivative gravity theories. Generically, these theories contain ghost modes with Planck-scale masses. Motivated by general considerations about…

高能物理 - 理论 · 物理学 2011-07-26 Ram Brustein , A. J. M. Medved

Shear viscosity measures the amount of internal friction in a simple fluid. In kinetic theory shear viscosity is related to momentum transport by quasi-particles, and the uncertainty relation implies that the ratio of shear viscosity eta to…

流体动力学 · 物理学 2010-01-15 Thomas Schaefer

We calculate the shear viscosity of field theories with gravity duals of Gauss-Bonnet gravity with a non-trivial dilaton using AdS/CFT. We find that the dilaton filed has a non-trivial contribution to the ratio of shear viscosity over…

高能物理 - 理论 · 物理学 2009-03-24 Rong-Gen Cai , Zhang-Yu Nie , Nobuyoshi Ohta , Ya-Wen Sun

Recent works have demonstrated that one can construct a (d+2) dimensional solution of the vacuum Einstein equations that is dual to a (d+1) dimensional fluid satisfying the incompressible Navier-Stokes equations. In one important example,…

高能物理 - 理论 · 物理学 2011-08-05 Goffredo Chirco , Christopher Eling , Stefano Liberati
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