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In this paper we present properties of relativistic and non-relativistic perfect hydrodynamical models. In particular we show illustrations of the fact that different initial conditions and equations of state can lead to the same hadronic…

Nuclear Theory · Physics 2009-04-24 Mate Csanad

Starting with a brief introduction into the basics of relativistic fluid dynamics, I discuss our current knowledge of a relativistic theory of fluid dynamics in the presence of (mostly shear) viscosity. Derivations based on the generalized…

High Energy Physics - Phenomenology · Physics 2010-03-02 Paul Romatschke

A novel formulation of second-order relativistic viscous fluid dynamics based on the effective Boltzmann equation for quasi-particles with medium-dependent masses is briefly reviewed.~The evolution equations for the shear and bulk…

Nuclear Theory · Physics 2017-08-07 Radoslaw Ryblewski

Recent results on QCD thermodynamics are presented. The nature of the T>0 transition is determined, which turns out to be an analytic cross-over. The absolute scale for this transition is calculated. The temperature dependent static…

High Energy Physics - Lattice · Physics 2009-04-14 Z. Fodor

We give a solution of the Riemann problem in relativistic hydrodynamics in the case of ultrarelativistic equation of state and nonvanishing components of the velocity tangent to the initial discontinuity. Simplicity of the…

Mathematical Physics · Physics 2014-11-18 Patryk Mach , Malgorzata Pietka

Perfect fluid spheres, both Newtonian and relativistic, have attracted considerable attention as the first step in developing realistic stellar models (or models for fluid planets). Whereas there have been some early hints on how one might…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Damien Martin , Matt Visser

We present realistic equations of state for QCD matter at vanishing net-baryon density which embed recent lattice QCD results at high temperatures combined with a hadron resonance gas model in the low-temperature, confined phase. In the…

High Energy Physics - Phenomenology · Physics 2014-07-17 M. Bluhm , P. Alba , W. Alberico , A. Beraudo , C. Ratti

We highlight some of the interesting properties of a new and finite, exact family of solutions of 1 + 1 dimensional perfect fluid relativistic hydrodynamics. After reviewing the main properties of this family of solutions, we present the…

Nuclear Theory · Physics 2019-06-27 T. Csorgo , G. Kasza , M. Csanad , Z. F. Jiang

Lattice QCD allows us to simulate QCD at non-zero temperature and/or densities. Such equilibrium thermodynamics calculations are relevant to the physics of relativistic heavy-ion collisions. I give a brief review of the field with emphasis…

High Energy Physics - Lattice · Physics 2017-08-23 D. K. Sinclair

We report on the discovery of new analytical solutions of the equations of relativistic ideal hydrodynamics. In this solution, the fluid expands in the longitudinal direction and contains a plateau structure that extends over a finite range…

High Energy Physics - Phenomenology · Physics 2022-02-24 Shuzhe Shi , Sangyong Jeon , Charles Gale

We present results for the equation of state upto previously unreachable, high temperatures. Since the temperature range is quite large, a comparison with perturbation theory can be done directly.

High Energy Physics - Lattice · Physics 2008-11-26 G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

We combine Taub's and Ray's variational approaches to relativistic hydrodynamics of perfect fluids into another simple formulation.

General Relativity and Quantum Cosmology · Physics 2009-07-24 Nikodem J. Poplawski

Simple, self-similar, analytic solutions of (1+3)-dimensional relativistic hydrodynamics are presented for ellipsoidally symmetric finite fireballs corresponding to non-central collisions of heavy ions at relativistic bombarding energies.…

Nuclear Theory · Physics 2009-11-10 T. Csorgo , L. P. Csernai , Y. Hama , T. Kodama

Looking for the underlying hydrodynamic mechanisms determining the elliptic flow we show that for an expanding relativistic perfect fluid the transverse flow may derive from a solvable hydrodynamic potential, if the entropy is transversally…

Nuclear Theory · Physics 2009-09-24 Robi Peschanski , Emmanuel N. Saridakis

As an important set of thermodynamic quantities, knowledge of the equation of state over a broad range of temperatures and chemical potentials in the QCD phase diagram is crucial for our understanding of strongly-interacting matter. There…

High Energy Physics - Phenomenology · Physics 2024-03-01 Jamie M. Karthein

In this work, we briefly review the progress made in the formulation of hydrodynamics with spin with emphasis on the application to the relativistic heavy-ion collisions. In particular, we discuss the formulation of hydrodynamics with spin…

High Energy Physics - Phenomenology · Physics 2021-04-29 Samapan Bhadury , Jitesh Bhatt , Amaresh Jaiswal , Avdhesh Kumar

The equation of state of Hamiltonian lattice QCD at finite density is examined in the strong coupling limit by constructing a solution to the equation of motion corresponding to an effective Hamiltonian describing the ground state of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Yasuo Umino

Recent results of lattice QCD at finite temperature and density are reviewed. At vanishing density the transition temperature, the equation of state and hadron properties are discussed both for the pure gauge theory and for dynamical…

High Energy Physics - Lattice · Physics 2009-11-10 S. D. Katz

I review recent developments in the studies of the phase structure and equation of state in finite temperature QCD on the lattice.

High Energy Physics - Phenomenology · Physics 2015-05-20 Kazuyuki Kanaya

I review recent progress in finite temperature lattice calculations, including calculations of Equation of State, fluctuations of conserved charges and spatial correlation functions. I compare lattice results with the predictions of hadron…

High Energy Physics - Phenomenology · Physics 2009-11-18 P. Petreczky