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We show that measurements of the rapidity dependence of transverse momentum correlations can be used to determine the characteristic time $\tau_\pi$ that dictates the rate of isotropization of the stress energy tensor, as well as the shear…

Nuclear Theory · Physics 2016-09-02 Sean Gavin , George Moschelli , Christopher Zin

We propose that rapidity dependent momentum correlations can be used to extract the shear relaxation time $\tau_\pi$ of the medium formed in high energy nuclear collisions. The stress-energy tensor in an equilibrium quark-gluon plasma is…

Nuclear Theory · Physics 2019-02-20 George Moschelli , Sean Gavin

We argue that the ratio between the shear viscosity and the shear relaxation time, $\eta/\tau_\pi$, should be defined as a thermodynamic quantity obtained from the equal-time symmetric correlator of the shear-stress tensor. In kinetic…

Nuclear Theory · Physics 2024-06-25 Gabriel S. Denicol , Jorge Noronha

Event anisotropy measurements at RHIC suggest the strongly interacting matter created in heavy ion collisions flows with very little shear viscosity. Precise determination of "shear viscosity-to-entropy" ratio is currently a subject of…

Nuclear Experiment · Physics 2019-08-13 Monika Sharma

The shear viscosity coefficient and the corresponding relaxation time for causal dissipative hydrodynamics are calculated based on the microscopic formula proposed in [T. Koide and T. Kodama, Phys. Rev. \textbf{E 78}, 051107 (2008)]. Here,…

High Energy Physics - Theory · Physics 2009-09-02 T. Koide , E. Nakano , T. Kodama

Energy dissipation rate is an important parameter for nearly every experiment on turbulent flow. Mathematically precise relationships between energy dissipation rate and other measurable statistics for the case of anisotropic turbulence are…

Fluid Dynamics · Physics 2008-02-28 Reginald J. Hill

Viscous diffusion can broaden the rapidity dependence of two-particle transverse momentum fluctuations. Surprisingly, measurements at RHIC by the STAR collaboration demonstrate that this broadening is accompanied by the appearance of…

Nuclear Theory · Physics 2016-09-21 Sean Gavin , George Moschelli , Christopher Zin

The microscopic formulae of the bulk viscosity $\zeta $ and the corresponding relaxation time $\tau_{\Pi}$ in causal dissipative relativistic fluid dynamics are derived by using the projection operator method. In applying these formulae to…

Nuclear Theory · Physics 2011-02-23 Xu-Guang Huang , Takeshi Kodama , Tomoi Koide , Dirk H. Rischke

We generalize (linearized) relativistic hydrodynamics by including all order gradient expansion of the energy momentum tensor, parametrized by four momenta-dependend transport coefficients, one of which is the usual shear viscosity. We then…

High Energy Physics - Phenomenology · Physics 2010-05-28 Michael Lublinsky , Edward Shuryak

Viscous hydrodynamics is commonly used to model the evolution of the matter created in an ultra-relativistic heavy-ion collision. It provides a good description of transverse momentum spectra and anisotropic flow. These observables,…

Nuclear Theory · Physics 2015-07-13 Salvatore Plumari , Giovanni Luca Guardo , Vincenzo Greco , Jean-Yves Ollitrault

We demonstrate that measurements of rapidity differential anisotropic flow in heavy ion collisions can constrain the temperature dependence of the shear viscosity to entropy density ratio {\eta}/s of QCD matter. Comparing results from…

Nuclear Theory · Physics 2016-06-01 Gabriel Denicol , Akihiko Monnai , Bjoern Schenke

On the basis of the dynamical interpretation of Monte Carlo simulations, we discuss the relation of the equilibrium relaxation time, the susceptibility and the statistical error. We introduce a new quantity called {\it the statistical…

Condensed Matter · Physics 2007-05-23 Macoto Kikuchi , Nobuyasu Ito , Yutaka Okabe

The correlation between the mean transverse momentum, $[p_{\mathrm{T}}]$, and the squared anisotropic flow, $v^{2}_{n}$, on an event-by-event basis has been suggested to be influenced by the initial conditions in heavy-ion collisions. We…

Nuclear Experiment · Physics 2026-05-14 The STAR Collaboration

The nonequilibrium hydrodynamic correlations of a Multiparticle-Collision-Dynamics (MPC) fluid in shear flow are studied by analytical calculations and simulations. The Navier-Stokes equations for a MPC fluid are linearized about the shear…

Statistical Mechanics · Physics 2015-11-24 Anoop Varghese , Chien-Cheng Huang , Roland G. Winkler , Gerhard Gompper

Hydrodynamics predicts long-lived sound and shear waves. Thermal fluctuations in these waves can lead to the diffusion of momentum density, contributing to the shear viscosity and other transport coefficients. Within viscous hydrodynamics…

High Energy Physics - Phenomenology · Physics 2011-08-04 Pavel Kovtun , Guy D. Moore , Paul Romatschke

This paper presents $v_{4}/v_{2}^2$ ratio as a function of transverse momentum ($p_{t}$), pseudorapidity ($\eta$) and collision centrality in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV using the STAR detector at the Relativistic Heavy…

Nuclear Experiment · Physics 2009-11-11 A. H. Tang

We evaluate the ratio of the shear viscosity to the relaxation time of the shear flux above but near the critical temperature $T_c$ in SU(3) gauge theory on the lattice. The ratio is related to Kubo's canonical correlation of the…

High Energy Physics - Lattice · Physics 2013-03-26 Yasuhiro Kohno , Masayuki Asakawa , Masakiyo Kitazawa

First-order relativistic conformal hydrodynamics in a general (hydrodynamic) frame is characterized by a shear viscosity coefficient and two UV-regulator parameters. Within a certain range of these parameters, the equilibrium is stable and…

High Energy Physics - Theory · Physics 2023-12-12 Navid Abbasi , Ali Davody , Sara Tahery

New measurements of rapidity-even dipolar flow, v$^{even}_{1}$, are presented for several transverse momenta, $p_T$, and centrality intervals in Au+Au collisions at $\sqrt{s_{NN}}~=~200,~39$ and $19.6$ GeV, U+U collisions at…

Nuclear Experiment · Physics 2018-03-14 Niseem Magdy

In order to understand the detailed dynamics of systems produced in $pp$ collisions, it is essential to know about the Equation of State (EoS) and various thermodynamic properties. In this work, we study the shear viscosity to entropy…

High Energy Physics - Phenomenology · Physics 2020-07-28 Dushmanta Sahu , Sushanta Tripathy , Raghunath Sahoo , Archita Rani Dash
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