English
Related papers

Related papers: On an exact hydrodynamic solution for the elliptic…

200 papers

We present a new solution of relativistic hydrodynamics in 1+3 dimensions which depends on both the transverse coordinate and rapidity. At early times the flow expands dominantly longitudinally in a non-boost-invariant manner, and at late…

High Energy Physics - Phenomenology · Physics 2016-02-03 Yoshitaka Hatta , Bo-Wen Xiao , Di-Lun Yang

We use linear response techniques to develop the previously proposed relativistic ideal fluid limit with a non-negligible spin density. We confirm previous results and obtain expressions for the microscopic transport coefficients using…

High Energy Physics - Theory · Physics 2020-08-19 David Montenegro , Giorgio Torrieri

We employ a relativistic transport theory to describe the fireball expansion of the matter created in ultra-relativistic heavy-ion collisions (uRHICs). Developing an approach to fix locally the shear viscosity to entropy density $\eta/s$,…

Nuclear Theory · Physics 2013-04-25 S. Plumari , V. Greco , L. P. Csernai

In this paper, we find various analytic (1+3)D solutions to relativistic ideal hydrodynamic equations based on embedding of known low-dimensional scaling solutions. We first study a class of flows with 2D Hubble Embedding, for which a…

Nuclear Theory · Physics 2014-11-20 Shu Lin , Jinfeng Liao

Using classical description of spin degrees of freedom, we extend recent formulation of the perfect-fluid hydrodynamics for spin-polarized fluids to the case including dissipation. Our work is based on the analysis of classical kinetic…

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

The kinetic theory for a fluid of hard spheres which undergo endothermic and/or exothermic reactions with mass transfer is developed. The exact balance equations for concentration, density, velocity and temperature are derived. The Enskog…

Statistical Mechanics · Physics 2007-05-23 James F. Lutsko

The transverse momentum dependence of elliptic flow of pions calculated in a full (3+1)d Boltzmann approach with an intermediate hydrodynamic stage for heavy ion reactions for CERN-SPS energies is discussed in the context of the…

Nuclear Theory · Physics 2009-11-18 H. Petersen , J. Steinheimer , G. Burau , M. Bleicher

Einstein's equations of General Relativity form a highly nonlinear system, so most exact solutions rely on symmetry assumptions. Spherically symmetric spacetimes have been particularly important, providing a tractable yet physically rich…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Salvador Mengual

By solving a simple kinetic equation, in the relaxation time approximation, and for a particular set of moments of the distribution function, we establish a set of equations which, on the one hand, capture exactly the dynamics of the…

Nuclear Theory · Physics 2018-03-07 Jean-Paul Blaizot , Li Yan

We report recent progress on causal viscous hydrodynamics for relativistic heavy ion collisions. For fixed specific shear viscosity eta/s, uncertainties in the elliptic flow arising from initial conditions, equation of state, bulk viscosity…

Nuclear Theory · Physics 2010-01-15 Huichao Song , Ulrich W. Heinz

We compute the continuum thermo-hydrodynamical limit of a new formulation of lattice kinetic equations for thermal compressible flows, recently proposed in [Sbragaglia et al., J. Fluid Mech. 628 299 (2009)]. We show that the hydrodynamical…

Chaotic Dynamics · Physics 2015-05-19 Andrea Scagliarini , Luca Biferale , Mauro Sbragaglia , Kazuyasu Sugiyama , Federico Toschi

We obtain self-similar solutions that describe the dynamics of a self-gravitating, rotating, viscous system. We use simplifying assumptions; but explicitly include viscosity and the cooling due to the dissipation of energy. By assuming that…

Astrophysics · Physics 2009-11-07 Mohsen Shadmehri , Jamshid Ghanbari

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

We consider two hydrodynamic model problems (one incompressible and one compressible) with three dimensional fluid flow on the torus and temperature-dependent viscosity and conductivity. The ambient heat for the fluid is transported by the…

Analysis of PDEs · Mathematics 2017-02-28 Andrei Tarfulea

In relativistic heavy-ion collisions, the system has gone through a series of evolution, almost at every stage of its evolution it leaves behind footprints in flow observable. Those footprints contain valuable information of the bulk…

Nuclear Experiment · Physics 2009-11-18 Aihong Tang

It is proved that (a) the solutions of the ideal magnetohydrodynamic equation, which describe the equlibrium states of a cylindrical plasma with purely poloidal flow and arbitrary cross sectional shape [G. N. Throumoulopoulos and G. Pantis,…

Plasma Physics · Physics 2009-10-30 G. N. Throumoulopoulos , H. Tasso

Stimulated by the methods applied for the observational determination of masses in the central regions of the AGNs, we examine the conditions under which, in the interior of a gravitating perfect fluid source, the geodesic motions and the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 K. Kleidis , N. K. Spyrou

We compute analytically the anisotropic flow in an expanding mixture of several species of relativistic massive particles. We find that a single collision per particle in average already leads to sizable elliptic flow, with mass ordering…

Nuclear Theory · Physics 2015-03-17 Nicolas Borghini , Clement Gombeaud

We study the evolution of the longitudinal expansion of an ideal fluid with finite electrical conductivity, which is subject to the EM fields. In the framework of resistive relativistic-magneto-hydrodynamic, we find an exact analytical…

Nuclear Theory · Physics 2020-07-22 M. Haddadi Moghaddam , W. M. Alberico , Duan She , A. F. Kord , B. Azadegan