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In ultrarelativistic heavy-ion collisions the local three-volume measure is expanding in the longitudinal and transverse directions. This is similar to the Hubble-expansion of the universe, except that the former is not locally isotropic.…

High Energy Physics - Phenomenology · Physics 2009-10-31 Adrian Dumitru

In this paper we consider the multi-dimensional Quantum Hydrodynamics (QHD) system, by adopting an intrinsically hydrodynamic approach. The present work continues the analysis initiated in [6] where the one dimensional case was studied.…

Analysis of PDEs · Mathematics 2025-02-17 Paolo Antonelli , Pierangelo Marcati , Hao Zheng

We introduce a combined fully three-dimensional macroscopic/microscopic transport approach employing relativistic 3D-hydrodynamics for the early, dense, deconfined stage of the reaction and a microscopic non-equilibrium model for the later…

Nuclear Theory · Physics 2008-11-26 Chiho Nonaka , Steffen A. Bass

Some basic questions about the hydrodynamical approach to relativistic heavy ion collisions are discussed aiming to clarify how far we can go with such an approach to extract useful information on the properties and dynamics of the QCD…

High Energy Physics - Phenomenology · Physics 2015-06-11 Ph. Mota , T. Kodama , J. Takahashi , R. Derradi de Souza

In this paper, we present an approach to solving the Riemann problem in one-dimensional relativistic hydrodynamics, where the most computationally expensive steps of the exact solver are replaced by compact, highly specialized neural…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Carlo Musolino

In high energy collisions of heavy-ions, experimental findings of collective flow are customarily associated with the presence of a thermalized medium expanding according to the laws of hydrodynamics. Recently, the ATLAS, CMS and ALICE…

Nuclear Theory · Physics 2016-08-24 M. Habich , G. A. Miller , P. Romatschke , W. Xiang

We assemble the equations of general relativistic magnetohydrodynamics (MHD) in 3+1 form. These consist of the complete coupled set of Maxwell equations for the electromagnetic field, Einstein's equations for the gravitational field, and…

Astrophysics · Physics 2009-11-07 Thomas W. Baumgarte , Stuart L. Shapiro

We study relativistic hydrodynamics in the presence of a non vanishing spin chemical potential. Using a variety of techniques we carry out an exhaustive analysis, and identify the constitutive relations for the stress tensor and spin…

High Energy Physics - Theory · Physics 2021-09-01 Domingo Gallegos , Umut Gursoy , Amos Yarom

Contributions of the current-current and Darwin interactions and weak-relativistic addition to kinetic energy in the quantum hydrodynamic equations are considered. Features of hydrodynamic equations for two-dimensional layer of plasma…

Plasma Physics · Physics 2014-07-02 Pavel Andreev , Alexey Ivanov , Leonid Kuz'menkov

Relativistic heavy-ion collisions suggest that low momentum regions of the observed particle spectra are thermal and hydrodynamic, while medium-high momentum regions are non-thermal and perturbative. In this study, I construct a…

Nuclear Theory · Physics 2023-08-09 Akihiko Monnai

Explicit equations are given for describing the space-time evolution of non-ideal (viscous) relativistic fluids undergoing boost-invariant longitudinal and arbitrary transverse expansion. The equations are derived from the second-order…

Nuclear Theory · Physics 2008-11-26 Ulrich W. Heinz , Huichao Song , Asis K. Chaudhuri

Self similarity allows for analytic or semi-analytic solutions to many hydrodynamics problems. Most of these solutions are one dimensional. Using linear perturbation theory, expanded around such a one-dimensional solution, we find…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Re'em Sari , J. Nate Bode , Almog Yalinewich , Andrew MacFadyen

We propose a simple algebraic method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid. The problem reduces to consecutively solving three linear partial differential equations for a…

Exactly Solvable and Integrable Systems · Physics 2015-06-03 A. V. Yurov , A. A. Yurova

Freeze-out of particles across 3-dimensional space-time hypersurface with space-like normal is discussed in a simple kinetic model. The final momentum distribution of emitted particles shows a non-exponential transverse momentum spectrum,…

Nuclear Theory · Physics 2015-06-26 V. K. Magas , Cs. Anderlik , L. P. Csernai , F. Grassi , W. Greiner , Y. Hama , T. Kodama , Zs. I. Lazar , H. Stöcker

We present MUSIC, an implementation of the Kurganov-Tadmor algorithm for relativistic 3+1 dimensional fluid dynamics in heavy-ion collision scenarios. This Riemann-solver-free, second-order, high-resolution scheme is characterized by a very…

High Energy Physics - Phenomenology · Physics 2014-11-20 Bjoern Schenke , Sangyong Jeon , Charles Gale

We describe the current status of the heavy ion research program at the Relativistic Heavy Ion Collider (RHIC). The new suite of experiments and the collider energies have opened up new probes of the medium created in the collisions. Our…

Nuclear Theory · Physics 2008-11-26 Berndt Muller , James L. Nagle

Dissipative processes in relativistic fluids are known to be important in the analyses of the hot QCD matter created in high-energy heavy-ion collisions. In this work, I consider dissipative corrections to energy and conserved charge…

Nuclear Theory · Physics 2018-10-08 Akihiko Monnai

I compare the first viscous hydrodynamic prediction for integrated elliptic flow in Pb-Pb collisions at the LHC with the first data released by the ALICE collaboration. These new data are found to be consistent with hydrodynamic…

Nuclear Theory · Physics 2011-04-22 Matthew Luzum

Recent years have seen a significant progress in the development of general relativistic codes for the numerical solution of the equations of magnetohydrodynamics in spacetimes with high and dynamical curvature. These codes are valuable…

High Energy Astrophysical Phenomena · Physics 2024-04-23 Yosuke Mizuno , Luciano Rezzolla

The correlation between the harmonic flow and the transverse flow in relativistic heavy ion collisions is calculated in the hydrodynamic model. The partial correlation coefficient, corrected for fluctuations of multiplicity, is compared to…

Nuclear Theory · Physics 2020-07-01 Piotr Bozek , Hadi Mehrabpour