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Kovtun, Son and Starinets proposed a bound on the viscosity of any fluid in terms of its entropy density. The bound is saturated by maximally supersymmetric theories at strong coupling, but can also easily be challenged experimentally to…

High Energy Physics - Theory · Physics 2007-05-23 Andreas Karch

In this perspective review, we present a concise yet multifaceted overview of the pivotal role played by the the shear viscosity to entropy density ratio across various physical contexts. After summarizing some of the main aspects of the…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Marilù Chiofalo , Dario Grasso , Stefano Liberati , Massimo Mannarelli

Kovtun, Son and Starinets have conjectured that the viscosity to entropy density ratio $\eta/s$ is always bounded from below by a universal multiple of $\hbar$ i.e., $\hbar/(4\pi k_{B})$ for all forms of matter. Mysteriously, the proposed…

High Energy Physics - Theory · Physics 2009-11-11 Omid Saremi

We consider strongly coupled gauge theory plasma with conserved global charges that allow for a dual gravitational description. We study the shear viscosity of the gauge theory plasma in the presence of chemical potentials for these…

High Energy Physics - Theory · Physics 2008-11-26 Paolo Benincasa , Alex Buchel , Roman Naryshkin

A very famous result of gauge/gravity duality is the universality of the ratio of shear viscosity to entropy density in every field theory holographically dual to classical, two-derivative (Einstein) gravity. We present a way to obtain…

High Energy Physics - Theory · Physics 2011-05-05 Johanna Erdmenger , Patrick Kerner , Hansjörg Zeller

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…

High Energy Physics - Theory · Physics 2015-03-19 Sera Cremonini

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…

High Energy Physics - Theory · Physics 2010-04-06 Mauro Brigante , Hong Liu , Robert C. Myers , Stephen Shenker , Sho Yaida

For gauge theories with an Einstein gravity dual, the AdS/CFT correspondence predicts a universal value for the ratio of the shear viscosity to the entropy density, $\eta/s=1/4\pi$. The holographic calculations have motivated the…

High Energy Physics - Theory · Physics 2018-03-21 Shahar Hod

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…

Strongly Correlated Electrons · Physics 2015-09-30 Nandan Pakhira , Ross H. McKenzie

This is a response to the comment, arXiv:0709.4651. It is noted that while the comment raises an extremely interesting and subtle point, the original conclusion that theoretically consistent exceptions exist for the proposed general bound…

High Energy Physics - Theory · Physics 2007-11-19 Thomas D. Cohen

We describe a new paradox for ideal fluids. It arises in the accretion of an \textit{ideal} fluid onto a black hole, where, under suitable boundary conditions, the flow can violate the generalized second law of thermodynamics. The paradox…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Itzhak Fouxon , Gerold Betschart , Jacob D. Bekenstein

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…

High Energy Physics - Theory · Physics 2009-03-24 Rong-Gen Cai , Zhang-Yu Nie , Nobuyoshi Ohta , Ya-Wen Sun

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…

High Energy Physics - Theory · Physics 2015-03-19 Arpan Bhattacharyya , Dibakar Roychowdhury

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…

High Energy Physics - Theory · Physics 2014-11-20 Ram Brustein , A. J. M. Medved

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…

Statistical Mechanics · Physics 2009-02-15 G. G. N. Angilella , N. H. March , F. M. D. Pellegrino , R. Pucci

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…

Fluid Dynamics · Physics 2010-01-15 Thomas Schaefer

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,…

High Energy Physics - Theory · Physics 2008-11-26 Mauro Brigante , Hong Liu , Robert C. Myers , Stephen Shenker , Sho Yaida

Near the horizon of a black brane in Anti-de Sitter (AdS) space and near the AdS boundary, the long-wavelength fluctuations of the metric exhibit hydrodynamic behaviour. The gauge-gravity duality then relates the boundary hydrodynamics for…

High Energy Physics - Theory · Physics 2009-03-27 Ram Brustein , A. J. M. Medved

We present evidence for the universality of the shear viscosity of conformal gauge theory plasmas beyond infinite coupling. We comment of subtleties of computing the shear viscosity in effective models of gauge/gravity correspondence rather…

High Energy Physics - Theory · Physics 2008-11-26 Alex Buchel

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…

High Energy Physics - Theory · Physics 2009-10-12 Shahar Hod
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