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I derive an exact integral expression for the ratio of shear viscosity over entropy density $\frac{\eta}{s}$ for the massless (critical) O(N) model at large N with quartic interactions. The calculation is set up and performed entirely from…

High Energy Physics - Theory · Physics 2021-12-23 Paul Romatschke

Entropy production (EP) is known as a fundamental quantity for measuring the irreversibility of processes in thermal equilibrium and states far from equilibrium. In stochastic thermodynamics, the EP becomes more visible in terms of the…

Statistical Mechanics · Physics 2020-06-24 Jaewoo Jung , Jaegon Um , Deokjae Lee , Yong W. Kim , D. Y. Lee , H. K. Pak , B. Kahng

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

Substantial collective flow is observed in collisions between large nuclei at high energy, and the data are well-reproduced by perfect fluid dynamics. In a separate development, calculation of the dimensionless ratio of shear viscosity…

Nuclear Theory · Physics 2013-08-01 Joseph I. Kapusta

The shear viscosity, eta, of a fermi gas with non-relativistic conformal symmetry in two spatial dimensions is investigated. We find that eta/s, s being the entropy density, diverges as a gas of free particles in this system. It is in…

High Energy Physics - Theory · Physics 2013-01-01 Jiunn-Wei Chen , Wen-Yu Wen

We compute the shear viscosity, $\eta$, at general temperatures $T$, in a BCS-BEC crossover scheme which is demonstrably consistent with conservation laws. The study of $\eta$ is important because it constrains microscopic theories by…

Quantum Gases · Physics 2011-08-04 H. Guo , D. Wulin , C. C. Chien , K. Levin

The universal lower bound of the ratio of shear viscosity to entropy density is suggested by the string theory and gauge duality for any matter. We examined the ratio of shear viscosity to entropy density for viscous accretion flow towards…

General Relativity and Quantum Cosmology · Physics 2019-06-28 Sandip Dutta , Ritabrata Biswas

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…

High Energy Physics - Theory · Physics 2008-11-26 Thomas D. Cohen

Thermodynamic uncertainty relations reveal a fundamental trade-off between the precision of a trajectory observable and entropy production, where the uncertainty of the observable is quantified by its variance. In information theory,…

Statistical Mechanics · Physics 2025-11-25 Yoshihiko Hasegawa , Tomohiro Nishiyama

The effect of a temperature dependent bulk viscosity to entropy density ratio~($\zeta/s$) along with a constant shear viscosity to entropy density ratio~($\eta/s$) on the space time evolution of the fluid produced in high energy heavy ion…

Nuclear Theory · Physics 2012-01-23 Victor Roy , A. K. Chaudhuri

The viscosity of hadronic matter is studied using a classical evaluation of the scattering angle and a quantum mechanical discussion based on phase shifts from a potential. Semi classical limits of the quantum theory are presented. A hard…

Nuclear Theory · Physics 2010-09-30 Aram Z. Mekjian

Assuming gauge theory realization at the boundary, we show that the viscosity to entropy ratio is 1/(4 pi) where the bulk is represented by a large class of extremal black holes in anti-de Sitter space. In particular, this class includes…

High Energy Physics - Theory · Physics 2010-03-12 Sayan K. Chakrabarti , Sachin Jain , Sudipta Mukherji

It is now well understood that the coefficient of shear viscosity of boundary fluid can be obtained from the horizon values of the effective coupling of transverse graviton in bulk spacetime. In this paper we observe that to find the shear…

High Energy Physics - Theory · Physics 2011-01-17 Nabamita Banerjee , Suvankar Dutta

We precisely measure the shear viscosity for a resonantly interacting Fermi gas as a function of temperature, from nearly the ground state through the superfluid phase transition at a critical temperature $T_c$. Using an iterative method to…

Quantum Gases · Physics 2015-07-15 J. A. Joseph , E. Elliott , J. E. Thomas

Shear viscosity is a measure of the amount of dissipation in a simple fluid. In kinetic theory shear viscosity is related to the rate of momentum transport by quasi-particles, and the uncertainty relation suggests that the ratio of shear…

High Energy Physics - Phenomenology · Physics 2009-11-18 Thomas Schaefer , Derek Teaney

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

Using the anti-de Sitter/conformal field theory correspondence, we relate the shear viscosity \eta of the finite-temperature N=4 supersymmetric Yang-Mills theory in the large N, strong-coupling regime with the absorption cross section of…

High Energy Physics - Theory · Physics 2010-02-18 G. Policastro , D. T. Son , A. O. Starinets

Hot relativistic jets, passing through a background medium with a pressure gradient p \propto r^{-\eta} where 2 < \eta <= 8/3, develop a shocked boundary layer containing a significant fraction of the jet power. In previous work, we…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Susanna Kohler , Mitchell C. Begelman

Shear viscosity $\eta$ is calculated for the nuclear matter described as a system of interacting nucleons with the van der Waals (VDW) equation of state. The Boltzmann-Vlasov kinetic equation is solved in terms of the plane waves of the…

Nuclear Theory · Physics 2016-11-30 A. G. Magner , M. I. Gorenstein , U. V. Grygoriev , V. A. Plujko

Several implications of well-known fluctuation theorems, on the statistical properties of the entropy production, are studied using various approaches. We begin by deriving a tight lower bound on the variance of the entropy production for a…

Statistical Mechanics · Physics 2015-05-20 Neri Merhav , Yariv Kafri
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