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Relativistic heavy ion collisions have reached energies that enable the creation of a novel state of matter termed the quark-gluon plasma. Many observables point to a picture of the medium as rapidly equilibrating and expanding as a nearly…

Nuclear Theory · Physics 2011-07-19 James L. Nagle , Ian G. Bearden , William A. Zajc

Israel-Stewart theory is a causal, stable formulation of relativistic dissipative fluid dynamics. This theory has been shown to give a decent description of the dynamical behavior of a relativistic fluid in cases where shear stress becomes…

Nuclear Theory · Physics 2012-07-31 G. S. Denicol , H. Niemi , I. Bouras , E. Molnar , Z. Xu , D. H. Rischke , C. Greiner

We investigate whether hydrodynamic attractors are present in simulations of the quark-gluon plasma formed in heavy-ion collisions. We argue that Lagrangian schemes to solve the relativistic viscous fluid equations can be particularly…

Nuclear Theory · Physics 2021-02-03 Gabriel S. Denicol , Jorge Noronha

Navier-Stokes equations are known as hydrodynamic equations which take account of effects of dissipations. There are, however, problems in the relativistic Navier-Stokes equations, i.e. the equations violate causality. Israel-Stewart…

High Energy Physics - Lattice · Physics 2010-11-05 Yasuhiro Kohno , Masayuki Asakawa , Masakiyo Kitazawa , Chiho Nonaka

The relativistic viscous hydrodynamic description of the quark-gluon plasma by M\"uller-Israel-Stewart formulations has been very successful, but despite this success, these theories present limitations regarding well-posedness and…

High Energy Physics - Phenomenology · Physics 2025-03-06 Yago Bea

Gravitational and hydrodynamical perturbations are analysed in a relativistic plasma containing a mixture of interacting fluids characterized by a non-negligible bulk viscosity coefficient. The energy-momentum transfer between the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Massimo Giovannini

A fundamental principle of chaotic quantum dynamics is that local subsystems eventually approach a thermal equilibrium state. Large subsystems thermalize slower: their approach to equilibrium is limited by the hydrodynamic build-up of…

The pre-equilibrium evolution of a quark-gluon plasma produced in a heavy-ion collision is studied in the framework of kinetic theory. We discuss the approach to local thermal equilibrium, and the onset of hydrodynamics, in terms of a…

Nuclear Theory · Physics 2018-01-17 Jean-Paul Blaizot , Li Yan

Averaged over ensemble of initial conditions kinetic transport equations of weakly coupled systems of quarks and gluons are derived. These equations account for the correlators of fluctuations of particles and classical gluon fields. The…

Nuclear Theory · Physics 2008-11-26 S. V. Akkelin

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

Event-by-event fluctuations and correlations between particles produced in relativistic nuclear collisions are studied. The fluctuations in positive, negative, total and net charge are closely related through correlations. In the event of a…

Nuclear Theory · Physics 2008-11-26 H. Heiselberg , A. D. Jackson

We discuss multiplicity fluctuation caused by noises during hydrodynamic evolution of the quark-gluon fluid created in high-energy nuclear collisions.

Nuclear Theory · Physics 2015-06-22 Tetsufumi Hirano , Ryuichi Kurita , Koichi Murase , Kenichi Nagai

The reformulation of nonequilibirum thermodynamics, to include the treatment of thermodynamic fluctuations, is applied to the hydrodynamic fluctuations of a simple fluid. It is shown that the nonequilibrium thermodynamic scheme leads to the…

Statistical Mechanics · Physics 2007-05-23 J. M. Rubi , P. Mazur

We derive hydrodynamic-like equations that are applicable to short-time scale color phenomena in the quark-gluon plasma. The equations are solved in the linear response approximation, and the gluon polarization tensor is derived. As an…

High Energy Physics - Phenomenology · Physics 2009-11-11 Cristina Manuel , Stanislaw Mrowczynski

The quark gluon plasma generated in ultrarelativistic heavy ion collisions may possess sizable momentum-space anisotropies that cause the longitudinal and transverse pressures in the local rest frame to be significantly different. We review…

Nuclear Theory · Physics 2015-06-11 Michael Strickland

Baryon number density perturbations offer a possible route to experimentally measure baryon number susceptibilities and heat conductivity of the quark gluon plasma. We study the fluid dynamical evolution of local and event-by-event…

Nuclear Theory · Physics 2015-12-25 Stefan Floerchinger , Mauricio Martinez

Interacting fluids, endowed with bulk viscous stresses, are discussed in a unified perspective with the aim of generalizing the treatment of cosmological perturbation theory to the case where both fluctuating decay rates and fluctuating…

Astrophysics · Physics 2009-11-24 Massimo Giovannini

In the last ten years, a number of ``Conventional Fluctuation Theorems'' have been derived for systems with deterministic or stochastic dynamics, in a transient or in a non-equilibrium stationary state. These theorems gave explicit…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

We formulate a general theory of thermal fluctuations within causal second-order viscous hydrodynamic evolution of matter formed in relativistic heavy-ion collisions. The fluctuation is treated perturbatively on top of a boost-invariant…

Nuclear Theory · Physics 2018-05-16 Chandrodoy Chattopadhyay , Rajeev S. Bhalerao , Subrata Pal

We derive deterministic equations for the evolution of non-Gaussian fluctuations in relativistic stochastic hydrodynamics. This is achieved by defining the average local Landau frame and corresponding fluctuating hydrodynamic variables.…

Nuclear Theory · Physics 2026-04-16 Xin An , Gokce Basar , Mikhail Stephanov