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An iterative scheme is presented to solve analytically the relativistic fluid dynamics equations. The scheme is applied to longitudinal expansion, transversal symmetric and transversal asymmetric (triaxial) expansion as well. Within this…

High Energy Physics - Theory · Physics 2012-12-06 F. Wunderlich , B. Kämpfer

Based on the (3+1)-dimensional hydrodynamic model, the space-time evolution of hot and dense nuclear matter produced in non-central relativistic heavy-ion collisions is discussed. The elliptic flow parameter v_2 is obtained by Fourier…

Nuclear Theory · Physics 2007-05-23 Tetsufumi Hirano

We perform simulations of the Kelvin-Helmholtz instability using smoothed particle hydrodynamics (SPH). The instability is studied both in the linear and strongly non-linear regimes. The smooth, well-posed initial conditions of Lecoanet et…

Instrumentation and Methods for Astrophysics · Physics 2019-08-07 Terrence S. Tricco

We investigate spin polarization dynamics in relativistic heavy-ion collisions using ideal relativistic spin hydrodynamics, employing non-boost-invariant longitudinal solutions as the hydrodynamic background. Operating in the…

Nuclear Theory · Physics 2026-05-12 Matteo Buzzegoli , Aleksandar Gecic , Rajeev Singh

The matter created in relativistic heavy ion collisions is fairly well described by ideal hydrodynamics, and somewhat better described by viscous hydrodynamics. To this point, most viscous calculations have been two-dimensional, based on an…

Nuclear Theory · Physics 2015-06-04 Joshua Vredevoogd , Scott Pratt

We introduce a novel approach to study the longitudinal hydrodynamic expansion of the quark-gluon fluid created in heavy-ion collisions. It consists of two steps: First, we apply the maximum entropy method to reconstruct the freeze-out…

Nuclear Theory · Physics 2014-04-24 Mikhail Stephanov , Yi Yin

We investigate the effects of viscosity and heat conduction on the onset and growth of Kelvin-Helmholtz instability (KHI) via an efficient discrete Boltzmann model. Technically, two effective approaches are presented to quantitatively…

Soft Condensed Matter · Physics 2019-04-02 Yanbiao Gan , Aiguo Xu , Guangcai Zhang , Chuandong Lin , Huilin Lai , Zhipeng Liu

One of the unsolved problems in the current 'standard model' of heavy ion physics is the apparent rapid thermalization of QCD matter in the pre-equilibrium stage. While it is challenging to probe this mechanism directly, there are now…

High Energy Physics - Phenomenology · Physics 2015-06-22 Thorsten Renk , Rupa Chatterjee , Kari J. Eskola , Harri Niemi , Ilkka Helenius

We present the optimal hydrodynamic model for rarefied gas flows relative to a given kinetic model by combining the recent theory of slow spectral closure with machine learning techniques. We learn generalized transport coefficients from…

Fluid Dynamics · Physics 2025-09-09 Florian Kogelbauer , Candi Zheng , Ilya Karlin

The goal of this note is to provide a theoretical explanation for the saturation of the drag coefficient in strong wind conditions. The hydrodynamic model under consideration takes into account the important effects of airborne droplets of…

Fluid Dynamics · Physics 2022-12-12 Michael Stiassnie , David Andrade

The fluid dynamics of a relativistic fireball with longitudinal and transverse expansion is described using a background-fluctuation splitting. Symmetry representations of azimuthal rotations and longitudinal boosts are used for a…

Nuclear Theory · Physics 2019-07-24 Stefan Floerchinger , Eduardo Grossi , Jorrit Lion

Dynamics of relativistic heavy-ion collisions is investigated on the basis of a simple (1+1)-dimensional hydrodynamical model in light-cone coordinates. The main emphasis is put on studying sensitivity of the dynamics and observables to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Igor N. Mishustin

Qualitatively new aspects of the (linear and non-linear) stability of sheared relativistic (slab) jets are analyzed. The linear problem has been solved for a wide range of jet models well inside the ultrarelativistic domain (flow Lorentz…

Astrophysics · Physics 2009-06-23 Manuel Perucho , Michal Hanasz , Jose-Maria Marti , Juan-Antonio Miralles

Heavy ion collisions at ultrarelativistic energies offer the opportunity to study the irreversibility of multiparticle processes. Together with the many-body decays of resonances, the multiparticle processes cause the system to evolve…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. E. Zabrodin , L. V. Bravina , H. Stoecker , W. Greiner

Fluid dynamic approach is a workhorse for modelling collective dynamics in relativistic heavy-ion collisions. The approach has been successful in describing various features of the momentum distributions of hadrons produced in the heavy-ion…

Nuclear Theory · Physics 2021-08-04 Iurii Karpenko

This is the first of two papers examining the critical collapse of spherically symmetric perfect fluids with the equation of state P = (Gamma -1)rho. Here we present the equations of motion and describe a computer code capable of simulating…

General Relativity and Quantum Cosmology · Physics 2014-11-17 David W. Neilsen , Matthew W. Choptuik

We consider the flow of a Newtonian fluid in a three-dimensional domain, rotating about a vertical axis and driven by a vertically invariant horizontal body-force. This system admits vertically invariant solutions that satisfy the 2D…

Fluid Dynamics · Physics 2023-07-19 Basile Gallet

Slowly rotating perfect fluid balls with regular center and asymptotically flat exterior are considered to second order in the rotation parameter. The necessary condition for being Petrov type D is given for general perfect fluid matter. As…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gyula Fodor

Rapid new developments have occurred in superfluid hydrodynamics since the discovery of a host of unusual phenomena which arise from the diverse structure and dynamics of quantized vortices in 3He superfluids. These have been studied in…

Superconductivity · Physics 2011-02-28 A. P. Finne , V. B. Eltsov , R. Hanninen , N. B. Kopnin , J. Kopu , M. Krusius , M. Tsubota , G. E. Volovik

Kinetic equilibration during the early stage of a relativistic heavy ion collision is studied using a radiative transport model. Thermalization is found to dominate over expansion with medium regulated cross sections. Pressure anisotropy…

Nuclear Theory · Physics 2009-03-13 Bin Zhang
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