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The viscosity of the QGP is a presently hotly debated subject. Since its computation from first principles is difficult, it is desirable to try to extract it from experimental data. Viscous hydrodynamics provides a tool that can attack this…

Nuclear Theory · Physics 2009-08-26 Huichao Song

We present the equations of relativistic hydrodynamics coupled to dynamical electromagnetic fields, including the effects of polarization, electric fields, and the derivative expansion. We enumerate the transport coefficients at leading…

High Energy Physics - Theory · Physics 2017-08-10 Juan Hernandez , Pavel Kovtun

The hydrodynamic model for the expansion of the fireball in relativistic heavy-ion collisions is presented. Calculations using relativistic hydrodynamics of a fluid with small viscosity yield a satisfactory description of the experimental…

Nuclear Theory · Physics 2012-06-18 Piotr Bozek

The hydrodynamic description of transversally thermalized matter, possibly formed at the early stages of ultra-relativistic heavy-ion collisions, is developed. The formalism is based on the thermodynamically consistent approach with all…

Nuclear Theory · Physics 2009-04-17 Mikolaj Chojnacki , Wojciech Florkowski

We introduce and study a new class of kinetic equations, which arise in the description of nonequilibrium macroscopic dynamics of soliton gases with elastic collisions between solitons. These equations represent nonlinear…

Exactly Solvable and Integrable Systems · Physics 2010-09-17 G. A. El , A. M. Kamchatnov , M. V. Pavlov , S. A. Zykov

We study quench dynamics and equilibration in one-dimensional quantum hydrodynamics, which provides effective descriptions of the density and velocity fields in gapless quantum gases. We show that the information content of the large time…

Statistical Mechanics · Physics 2017-09-26 Spyros Sotiriadis

We develop a combined hydro-kinetic approach which incorporates a hydrodynamical expansion of the systems formed in \textit{A}+\textit{A} collisions and their dynamical decoupling described by escape probabilities. The method corresponds to…

Nuclear Theory · Physics 2008-11-26 S. V. Akkelin , Y. Hama , Iu. A. Karpenko , Yu. M. Sinyukov

In this work, the poles and the resulting dispersion spectra from the relativistic kinetic equation have been analyzed with the help of a proposed collision kernel that conserves both the energy-momentum tensor and particle current by…

Nuclear Theory · Physics 2025-12-31 Sukanya Mitra

We derive relativistic hydrodynamics from quantum field theories by assuming that the density operator is given by a local Gibbs distribution at initial time. We decompose the energy-momentum tensor and particle current into nondissipative…

High Energy Physics - Phenomenology · Physics 2015-10-14 Tomoya Hayata , Yoshimasa Hidaka , Masaru Hongo , Toshifumi Noumi

We simulate the space-time dynamics of high-energy collisions based on a microscopic kinetic description, in order to determine the range of applicability of an effective description in relativistic viscous hydrodynamics. We find that…

High Energy Physics - Phenomenology · Physics 2024-02-12 Clemens Werthmann , Victor E. Ambruş , Sören Schlichting

A relativistic self-gravitating equilibrium system with steady flow as well as spherical symmetry is discovered. The energy-momentum tensor contains the contribution of a current related to the flow and the metric tensor does an…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Shuichi Yokoyama

Analytical solution of one dimensional hydrodynamical model is derived, where phase transition from the QGP state to the hadronic state is effectively taken into account. The single particle rapidity distribution of charged $\pi$ mesons…

High Energy Physics - Phenomenology · Physics 2010-12-14 Naomichi Suzuki

In the present study, quantitative feasibility tests of the hydrodynamic description of a two-dimensional fluid at the molecular level are performed, both with respect to length and time scales. Using high-resolution fluid velocity data…

Fluid Dynamics · Physics 2018-01-17 Kyeong Hwan Han , Changho Kim , Peter Talkner , George Em Karniadakis , Eok Kyun Lee

We study the properties and symmetries governing the hydrodynamic interaction between two identical, arbitrarily shaped objects, driven through a viscous fluid. We treat analytically the leading (dipolar) terms of the pair-mobility matrix,…

Fluid Dynamics · Physics 2016-05-03 Tomer Goldfriend , Haim Diamant , Thomas A. Witten

Second-order relativistic hydrodynamics is surprisingly predictive, even in the presence of large gradients. The hydrodynamic expansion from the method of moments does not require a gradient expansion, but it is intrinsically bound to the…

Nuclear Theory · Physics 2020-03-23 Leonardo Tinti

We derive the multi-component second-order dissipative relativistic hydrodynamic equations using the moment-expansion method. By computing the transport coefficients using hard-sphere interactions, we investigate the role of multiple…

High Energy Physics - Phenomenology · Physics 2022-07-15 Jin Hu , Shuzhe Shi

A second order relativistic hydrodynamic theory has been derived using momentum dependent relaxation time in the relativistic transport equation. In order to do that, an iterative technique of gradient expansion approach, namely…

Nuclear Theory · Physics 2021-02-03 Sukanya Mitra

We present a concise review of the recent development of relativistic hydrodynamics and its applications to heavy-ion collisions. Theoretical progress on the extended formulation of hydrodynamics towards out-of-equilibrium systems is…

Nuclear Theory · Physics 2020-10-26 Chun Shen , Li Yan

Hydrodynamics accurately describes relativistic heavy-ion collision experiments well before local thermal equilibrium is established. This unexpectedly rapid onset of hydrodynamics -- which takes place on the fastest available timescale --…

Quantum Gases · Physics 2023-06-30 Yuan Le , Yicheng Zhang , Sarang Gopalakrishnan , Marcos Rigol , David S. Weiss

We consider the relativistic hydrodynamics of non-perfect fluids with the goal of determining a formulation that is suited for numerical integration in special-relativistic and general-relativistic scenarios. To this end, we review the…

General Relativity and Quantum Cosmology · Physics 2023-02-27 Michail Chabanov , Luciano Rezzolla , Dirk H. Rischke