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Related papers: Simple analytic solution of fireball hydrodynamics

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An overview of some analytical approaches to the computation of the structural and thermodynamic properties of single component and multicomponent hard-sphere fluids is provided. For the structural properties, they yield a thermodynamically…

Statistical Mechanics · Physics 2008-07-18 M. Lopez de Haro , S. B. Yuste , A. Santos

We present a numerical method to solve the equations of general relativistic hydrodynamics in a given external gravitational field. The method is based on a generalization of Roe's approximate Riemann solver for the non relativistic Euler…

Astrophysics · Physics 2007-05-23 Frits Eulderink , Garrelt Mellema

We derive generalised multi-flow hydrodynamic reductions of the nonlocal kinetic equation for a soliton gas and investigate their structure. These reductions not only provide further insight into the properties of the new kinetic equation…

Exactly Solvable and Integrable Systems · Physics 2011-12-26 Gennady A. El , Maxim V. Pavlov , Vladimir B. Taranov

We reconsider thermal conditions of the central fireball presumed to be the source of abundantly produced strange (anti-)baryons in S -> W collisions at 200 GeV A. We show that it is possible to completely fix the freeze-out temperature of…

High Energy Physics - Phenomenology · Physics 2009-10-30 Jean Letessier , Jan Rafelski , Ahmed Tounsi

This work is concerned with our recently developed formalism of non-equilibrium thermodynamics. This formalism extends the classical irreversible thermodynamics which leads to classical thermodynamics and can not describe physical phenomena…

Analysis of PDEs · Mathematics 2018-09-06 Zaibao Yang , Wen-An Yong , Yi Zhu

We assess the suitability of a recent high-resolution central scheme developed by Kurganov & Tadmor (2000) for the solution of the relativistic hydrodynamics equations. The novelty of this approach relies on the absence of Riemann solvers…

Astrophysics · Physics 2009-11-10 Arturo Lucas-Serrano , Jose A. Font , Jose M. Ibanez , Jose M. Marti

Evolution of quark-gluon plasma (QGP) near equilibrium can be described by the second-order relativistic viscous hydrodynamic equations. Consistent and analytically verifiable numerical solutions are critical for phenomenological studies of…

High Energy Physics - Phenomenology · Physics 2015-05-06 Long-Gang Pang , Yoshitaka Hatta , Xin-Nian Wang , Bo-Wen Xiao

Building on a recently improved understanding of the problem of heat flow in general relativity, we develop a hydrodynamical model for coupled finite temperature superfluids. The formalism is designed with the dynamics of the outer core of…

General Relativity and Quantum Cosmology · Physics 2015-06-12 N. Andersson , C. Krueger , G. L. Comer , L. Samuelsson

We examine the existence of shock profiles for a hyperbolic-elliptic system arising in radiation hydrodynamics. The algebraic-differential system for the wave profile is reduced to a standard two-dimensional form that is analyzed in details…

Analysis of PDEs · Mathematics 2019-07-25 Corrado Mascia

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

Dynamical equations in generalized hydrodynamics (GHD), a hydrodynamic theory for integrable quantum systems at the Euler scale, take a rather simple form, even though an infinite number of conserved charges are taken into account. We show…

Statistical Mechanics · Physics 2018-01-31 Benjamin Doyon , Takato Yoshimura , Jean-Sébastien Caux

Exact one-dimensional solutions to the equations of fluid dynamics are derived in the large-Pr and small-Pr limits (where Pr is the Prandtl number). The solutions are analogous to the Pr = 3/4 solution discovered by Becker and analytically…

Fluid Dynamics · Physics 2015-06-16 Bryan M. Johnson

(accepted for publication in the Ap.J.) I present a general classification of self-similar solutions to the equations of gravitational hydrodynamics that contain many previous results as special cases. For cold flows with spherical…

Astrophysics · Physics 2009-10-22 Ue-Li Pen

This work presents a unified fluid modeling framework for reacting flows coupled with nonthermal plasmas (NTPs). Building upon the gas-plasma kinetics solver, ChemPlasKin, and the CFD library, OpenFOAM, the integrated solver, reactPlasFOAM,…

Computational Physics · Physics 2025-08-19 Xiao Shao , Deanna A. Lacoste , Hong G. Im

We investigate the hydrodynamical evolution of an ultra-relativistic fireball colliding with a freely expanding gas. The hydrodynamical interaction of the fireball and the gas results in the formation of a geometrically thin shell. We study…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Akihiro Suzuki , Toshikazu Shigeyama

This paper develops a general approach to the derivation of the boundary conditions for hydrodynamic equations for charged and neutral plasma components. It includes both a well-known classical case for pure diffusion, and considers the…

Plasma Physics · Physics 2020-03-24 V. V. Gorin , A. A. Kudryavtsev , Jingfeng Yao , Chengxun Yuan , Zhongxiang Zhou

We consider a plasma of massless particles undergoing Bjorken expansion, mimicking the matter created in ultra-relativistic heavy ion collisions. We study the transition to hydrodynamics using kinetic theory in the relaxation time…

Nuclear Theory · Physics 2021-11-24 Jean-Paul Blaizot , Li Yan

We establish the long-time existence of large-data weak solutions to a system of nonlinear partial differential equations. The system of interest governs the motion of non-Newtonian fluids described by a simplified viscoelastic rate-type…

Analysis of PDEs · Mathematics 2017-10-02 Miroslav Bulíček , Josef Málek , Vít Průša , Endre Süli

We have generalised the exact solution of the Riemann problem in special relativistic hydrodynamics for arbitrary tangential flow velocities. The solution is obtained by solving the jump conditions across shocks plus an ordinary…

Astrophysics · Physics 2017-05-17 Jose A. Pons , Jose Ma. Marti , Ewald Mueller

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