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In systems with a conserved density, the additional conservation of the center of mass (dipole moment) has been shown to slow down the associated hydrodynamics. At the same time, long-range interactions generally lead to faster transport…

Statistical Mechanics · Physics 2023-07-27 Alan Morningstar , Nicholas O'Dea , Jonas Richter

Relativistic hydrodynamics has been extensively applied to high energy heavy-ion collisions. We review hydrodynamic calculations for Au+Au collisions at RHIC energies and provide a comprehensive comparison between the model and experimental…

Nuclear Theory · Physics 2007-05-23 Peter F. Kolb , Ulrich Heinz

We use leading-order anisotropic hydrodynamics to study an azimuthally-symmetric boost-invariant quark-gluon plasma. We impose a realistic lattice-based equation of state and perform self-consistent anisotropic freeze-out to hadronic…

Heavy-ion collisions are well described by a dynamical evolution with a long hydrodynamical phase. In this phase the properties of the strongly coupled quark-gluon plasma are reflected in the equation of state (EoS) and the transport…

Nuclear Theory · Physics 2018-12-06 A. Dubla , S. Masciocchi , J. M. Pawlowski , B. Schenke , C. Shen , J. Stachel

To describe ultrarelativistic heavy-ion collisions we construct a three-fluid hydrodynamical model. In contrast to one-fluid hydrodynamics, it accounts for the finite stopping power of nuclear matter, i.e. for nonequilibrium effects in the…

Nuclear Theory · Physics 2016-09-08 J. Brachmann , A. Dumitru , J. A. Maruhn , H. Stöcker , W. Greiner , D. H. Rischke

Extreme events are ubiquitous in a wide range of dynamical systems, including turbulent fluid flows, nonlinear waves, large scale networks and biological systems. Here, we propose a variational framework for probing conditions that trigger…

Fluid Dynamics · Physics 2018-07-10 Mohammad Farazmand , Themistoklis P. Sapsis

We establish a set of equations for moments of the distribution function. In the relaxation time approximations, these moments obey a coupled set of equations that can be truncated order-by-order. Solving the equations of moments, we are…

Nuclear Theory · Physics 2019-02-20 Jean-Paul Blaizot , Li Yan

We propose a new approach to initialize the hydrodynamic fields such as energy density distributions and four flow velocity fields in hydrodynamic modeling of high-energy nuclear collisions at the collider energies. Instead of matching the…

Nuclear Theory · Physics 2017-06-09 Michito Okai , Koji Kawaguchi , Yasuki Tachibana , Tetsufumi Hirano

Exerting a nonequilibrium drive on an otherwise equilibrium Langevin process brings the dynamics out of equilibrium but can also speedup the approach to the Boltzmann steady-state. Transverse forces are a minimal framework to achieve…

Soft Condensed Matter · Physics 2024-09-19 Federico Ghimenti , Ludovic Berthier , Grzegorz Szamel , Frédéric van Wijland

We study the contribution of advection by thermal velocity fluctuations to the effective diffusion coefficient in a mixture of two identical fluids. The steady-state diffusive flux in a finite system subject to a concentration gradient is…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 A. Donev , A. de la Fuente , J. B. Bell , A. L. Garcia

The evolution of the gluon plasma produced with saturation initial conditions is calculated via Boltzmann transport theory for nuclear collisions at high energy. The saturation scale increases with the nuclear size and the beam energy, and…

High Energy Physics - Phenomenology · Physics 2009-10-09 Adrian Dumitru , Miklos Gyulassy

We investigate a (3+1)-dimensional hydrodynamic expansion of the hot and dense system created in head-on collisions of Pb+Pb/Au+Au at beam energies from $5-200A$ GeV. An equation of state that incorporates a critical end point (CEP) in line…

Nuclear Theory · Physics 2008-11-26 J. Steinheimer , M. Bleicher , H. Petersen , S. Schramm , H. Stocker , D. Zschiesche

We have studied the effect of nonzero bulk viscosity with peak near the lattice QCD predicted crossover temperature $T_{co}\sim 175 MeV$ on charged particle transverse momentum spectra and elliptic flow. The Israel-Stewart theory of 2nd…

Nuclear Theory · Physics 2013-05-30 Victor Roy , A. K. Chaudhuri

We investigate general thermodynamic stability conditions for the superfluid. This analysis is performed in an extended space of thermodynamic variables containing (along with the usual thermodynamic coordinates such as pressure and…

Statistical Mechanics · Physics 2009-11-10 A. F. Andreev , L. A. Melnikovsky

Motivated by the physics of the quark-gluon plasma created in heavy-ion collision experiments, we use holography to study the regime of applicability of various theories of relativistic viscous hydrodynamics. Using the microscopic…

High Energy Physics - Theory · Physics 2022-09-23 Hans Bantilan , Yago Bea , Pau Figueras

In some inertial confinement fusion hohlraum designs, the inside plasma is not sufficiently collisional to be satisfactorily described by the Euler equations implemented in hydrodynamic simulation codes, particularly in converging regions…

Plasma Physics · Physics 2021-11-30 Olivier Larroche

At large scales of space and time, the nonequilibrium dynamics of local observables in extensive many-body systems is well described by hydrodynamics. At the Euler scale, one assumes that each mesoscopic region independently reaches a state…

Statistical Mechanics · Physics 2023-07-26 Benjamin Doyon , Gabriele Perfetto , Tomohiro Sasamoto , Takato Yoshimura

We investigate freeze--out in hydrodynamic models for relativistic heavy--ion collisions. In particular, instantaneous freeze--out across a hypersurface of constant temperature (``isothermal'' freeze--out) is compared with that across a…

Nuclear Theory · Physics 2009-10-30 S. Bernard , J. A. Maruhn , W. Greiner , D. H. Rischke

We discuss rapidity decorrelation caused by hydrodynamic fluctuations in high-energy nuclear collisions at the LHC energy. We employ an integrated dynamical model which is a combination of the Monte Carlo version of Glauber model with…

Nuclear Theory · Physics 2019-02-20 Azumi Sakai , Koichi Murase , Tetsufumi Hirano

We explore the transition to hydrodynamics in a weakly-coupled model of quark-gluon plasma given by kinetic theory in the relaxation time approximation with conformal symmetry. We demonstrate that the gradient expansion in this model has a…

Nuclear Theory · Physics 2018-06-12 Michal P. Heller , Aleksi Kurkela , Michal Spalinski , Viktor Svensson