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Following previous work [1], we propose to analyze the rapidity dependence of transverse momentum and transverse-momentum multiplicity correlations. We demonstrate that the orthogonal polynomial expansion of the latter has the potential to…

High Energy Physics - Phenomenology · Physics 2017-10-03 Adam Bzdak

Recent STAR measurements of the anisotropic flow coefficients (v$_{n}$) are presented for Au+Au collisions spanning the beam energy range $\sqrt{s_{NN}} = 7.7 - 200$ GeV. The measurements indicate dependences on the harmonic number ($n$),…

Nuclear Experiment · Physics 2019-10-31 Niseem Magdy

We have applied thermodynamic stability analysis to derive the stability and causality conditions for conventional relativistic viscous hydrodynamics and spin hydrodynamics. We obtain the thermodynamic stability conditions for second-order…

Nuclear Theory · Physics 2024-08-13 Xiang Ren , Chen Yang , Dong-Lin Wang , Shi Pu

Using the Zubarev's nonequilibrium statistical operator formalism, we derive the second-order expression for the dissipative tensors in relativistic spin hydrodynamics, {\em viz.} rotational stress tensor ($\tau_{\mu\nu}$), boost heat…

High Energy Physics - Theory · Physics 2025-08-26 Abhishek Tiwari , Binoy Krishna Patra

At second order in gradients, conformal relativistic hydrodynamics depends on the viscosity eta and on five additional "second-order" hydrodynamical coefficients tauPi, kappa, lambda1, lambda2, and lambda3. We derive Kubo relations for…

High Energy Physics - Phenomenology · Physics 2011-07-08 Guy D. Moore , Kiyoumars A. Sohrabi

We investigate the causality and stability of relativistic dissipative fluid dynamics in the absence of conserved charges. We perform a linear stability analysis in the rest frame of the fluid and find that the equations of relativistic…

High Energy Physics - Phenomenology · Physics 2014-11-20 Shi Pu , Tomoi Koide , Dirk H. Rischke

We perform 3+1D viscous hydrodynamic calculations of proton-lead and lead-lead collisions at top LHC energy. We show that existing data from high-multiplicity p-Pb events can be well described in hydrodynamics, suggesting that collective…

Nuclear Theory · Physics 2014-05-16 Igor Kozlov , Matthew Luzum , Gabriel Denicol , Sangyong Jeon , Charles Gale

The autocorrelation functions for the force on a particle, the velocity of a particle, and the transverse momentum flux are studied for the power law potential $v(r)=\epsilon (\sigma /r)^{\nu}$ (soft spheres). The latter two correlation…

Statistical Mechanics · Physics 2009-11-10 James W. Dufty , Matthieu H. Ernst

This is a comment to hep-th/0703243. The paper determined the relaxation time tau_pi of the shear viscous stress for the N=4 SYM from AdS/CFT correspondence. The purpose of this comment is to point out that the value of tau_pi is 3 times…

High Energy Physics - Theory · Physics 2008-03-19 Makoto Natsuume , Takashi Okamura

Recent STAR measurements of the anisotropic flow coefficients, v$_{n}$, are presented for Au+Au collisions spanning the beam energy range $\sqrt{s_{NN}} = 7.7 - 200$~GeV. The measurements indicate dependences on harmonic number, $n$,…

Nuclear Experiment · Physics 2018-01-25 Niseem Magdy

The rapidity dependence of two-particle momentum correlations can be used to probe the viscosity of the liquid produced in heavy nuclei collisions at RHIC. We reexamine this probe in light of the recent experimental analyses of the…

Nuclear Theory · Physics 2015-05-28 Monika Sharma , Claude Pruneau , Sean Gavin , Jun Takahashi , R. Derradi de Souza , T. Kodama

We derive a variational expression for the correlation time of physical observables in steady-state diffusive systems. As a consequence of this variational expression, we obtain lower bounds on the correlation time, which provide speed…

Statistical Mechanics · Physics 2023-03-24 Andreas Dechant , Jerome Garnier-Brun , Shin-ichi Sasa

The common rules of classical nonequilibrium thermodynamics do not allow an Onsager coefficient like the viscosity to depend on the shear rate. Such a dependence is experimentally well documented, however. In this paper it is shown, using…

Soft Condensed Matter · Physics 2007-05-23 D. Bedeaux , J. M. Rubi

There is a well-established relation between the spatial asymmetry in the initial stage of a heavy-ion collision and the final momentum anisotropy, which allows for a separation of effects from initial conditions vs. later evolution and has…

Nuclear Theory · Physics 2020-06-04 Rodrigo Franco , Matthew Luzum

This article explores particle number diffusion in relativistic hydrodynamics using kinetic theory with a modified collision kernel that incorporates the momentum dependence of the particle relaxation time. Starting from the Boltzmann…

High Energy Physics - Phenomenology · Physics 2025-05-27 Sunny Kumar Singh , Samapan Bhadury , Manu Kurian , Vinod Chandra

We use fluctuating hydrodynamics to analyze the dynamical properties in the non-equilibrium steady state of a diffusive system coupled with reservoirs. We derive the two-time correlations of the density and of the current in the…

Statistical Mechanics · Physics 2016-11-23 Tridib Sadhu , Bernard Derrida

In this paper we investigate the behavior of the shear hydrodynamic response functions in a simple holographic model exhibiting momentum relaxation. We compute several stress tensor response functions in the transverse channel, and from…

High Energy Physics - Theory · Physics 2017-08-17 Tudor Ciobanu , David M. Ramirez

Viscous corrections to relativistic hydrodynamics, which are usually formulated for small velocity g radients, have recently been extended from Navier-Stokes formulations to a class of treatments based on Israel-Stewart equations.…

Nuclear Theory · Physics 2008-11-26 Scott Pratt

Using fluid/gravity correspondence, we determine the (linearized) stress energy tensor of $\mathcal{N}=4$ super-Yang-Mills theory at strong coupling with all orders in derivatives of fluid velocity included. We find that the dissipative…

High Energy Physics - Theory · Physics 2014-11-04 Yanyan Bu , Michael Lublinsky

We present the hybrid hadron string dynamic (HydHSD) model connecting the parton-hadron-string dynamic model (PHSD) and a hydrodynamic model taking into account shear viscosity within the Israel-Stewart approach. The performance of the code…

Nuclear Theory · Physics 2021-11-03 A. S. Khvorostukhin , E. E. Kolomeitsev , V. D. Toneev