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In the context of the longitudinally boost-invariant Bjorken flow with transverse expansion, we use three different numerical methods to analyze the emergence of attractor solutions in an ideal gas of massless particles exhibiting constant…

Nuclear Theory · Physics 2021-12-21 Victor E. Ambrus , Sergiu Busuioc , Jan A. Fotakis , Kai Gallmeister , Carsten Greiner

We use the vorticity transportation equation as the start point--with the help of stream function for two-dimensional planar incompressible flows--to obtain exact solutions that characterize evolution and dynamics of the flows. These…

Mathematical Physics · Physics 2018-09-18 Lang Xia

It is shown that in ideal relativistic hydrodynamics a phase transition from hadron to quark and gluon degrees of freedom in the nuclear matter equation of state leads to a minimum in the excitation function of the transverse collective…

Nuclear Theory · Physics 2022-02-23 Dirk H. Rischke , Yaris Puersuen , Joachim A. Maruhn , Horst Stoecker , Walter Greiner

We study the interaction of a fast moving particle in the Quark Gluon Plasma with linearized hydrodynamics. We derive the linearized hydrodynamic equations on top of an expanding fireball, and detail the solutions for a static medium. There…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Casalderrey-Solana , E. V. Shuryak , D. Teaney

I present the simplest 3+1 dimensional quantum field theory for which the speed of sound can be arbitrarily close to the speed of light. Examining the hydrodynamics, I find cases where the shear viscosity is finite, but the "shear…

High Energy Physics - Phenomenology · Physics 2024-04-04 Guy D. Moore

The relativistic hydrodynamical equations are being examined with the aim of extracting the quantum-mechanical equations (the relativistic Klein-Gordon equation and the Schr\"odinger equation in the non-relativistic limit). In both cases it…

General Physics · Physics 2015-10-12 Valeriy I. Sbitnev

We consider an imperfect relativistic fluid which develops a shock wave and discuss its structure and thickness, taking into account the effects of viscosity and heat conduction in the form of sound absorption. The junction conditions and…

Astrophysics · Physics 2008-11-26 Jose A. S. Lima , Alejandra Kandus , Reuven Opher

We investigate transverse electromagnetic waves propagating in a plasma in the de Sitter space. Using the 3+1 formalism we derive the relativistic two-fluid equations to take account of the effects due to the horizon and describe the set of…

General Relativity and Quantum Cosmology · Physics 2010-04-30 M. Atiqur Rahman , M. Hossain Ali

We propose a modification of the hydrodynamic model of the dynamics in ultrarelativistic nuclear collisions. A modification of the energy-momentum tensor at the initial stage describes the lack of isotropization of the pressure.…

Nuclear Theory · Physics 2009-09-24 P. Bozek

A new algorithm is proposed for solving the three-dimensional scalar inverse problem of acoustic sounding in an inhomogeneous medium. The data for the algorithm are the complex amplitudes of the wave field measured outside the inhomogeneity…

Numerical Analysis · Mathematics 2019-11-26 A. B. Bakushinsky , A. S. Leonov

The equations for the three-dimensional incompressible flow of liquid crystals are considered in a smooth bounded domain. The existence and uniqueness of the global strong solution with small initial data are established. It is also proved…

Analysis of PDEs · Mathematics 2015-05-13 Xianpeng Hu , Dehua Wang

In this talk I discuss how a first order phase transition may proceed in rapidly expanding partonic matter produced in a relativistic heavy-ion collision. The resulting picture is that a strong collective flow of matter will lead to the…

High Energy Physics - Phenomenology · Physics 2015-06-25 I. N. Mishustin

Radiatively-driven transfer flow perpendicular to a luminous disk is examined in the subrelativistic regime of $(v/c)^1$, taking into account the gravity of the central object. The flow is assumed to be vertical, and the gas pressure is…

Astrophysics · Physics 2015-06-24 Jun Fukue

The correlation between the transverse momentum and the azimuthal asymmetry the flow is studied. A correlation coefficient is defined between the average transverse momentum of hadrons emitted in an event and the square of the elliptic or…

Nuclear Theory · Physics 2016-04-27 Piotr Bozek

This article is devoted to the Relativistic Vlasov-Maxwell system in space dimension three. We prove the local smooth solvability for weak topologies (and its long time version for small data). This result is derived from a representation…

Analysis of PDEs · Mathematics 2023-06-22 Christophe Cheverry , Slim Ibrahim

The flow harmonics for charged hadrons ($v_{n}$) and their ratios $(v_n/v_2)_{n\geq 3}$, are studied for a broad range of transverse momenta ($p_T$) and centrality ($\text{cent}$) in Pb+Pb collisions at $\sqrt{s_{NN}}= 2.76$ TeV. They…

Nuclear Experiment · Physics 2013-08-20 Roy A. Lacey , Yi Gu , X. Gong , D. Reynolds , N. N. Ajitanand , J. M. Alexander , A. Mwai , A. Taranenko

Superfluids support many different types of sound waves. We investigate the relation between the sound waves in a relativistic and a non-relativistic superfluid by using hydrodynamics to calculate the various sound speeds. Then, using a…

High Energy Physics - Theory · Physics 2013-05-29 Christopher P. Herzog , Amos Yarom

The relativistic kinetic theory of the phonon gas in superfluids is developed. The technique of the derivation of macroscopic balance equations from microscopic equations of motion for individual particles is applied to an ensemble of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vladimir Popov

For a relativistic particle under a constant force and a linear velocity dissipation force, a constant of motion is found. Problems are shown for getting the Hamiltoninan of this system. Thus, the quantization of this system is carried out…

Quantum Physics · Physics 2011-08-19 Gustavo López , Xaman-Ek López , Hector Hernández

We consider causal higher order theories of relativistic viscous hydrodynamics in the limit of one-dimensional boost-invariant expansion and study the associated dynamical attractor. We obtain evolution equations for the inverse Reynolds…

Nuclear Theory · Physics 2019-09-11 Sunil Jaiswal , Chandrodoy Chattopadhyay , Amaresh Jaiswal , Subrata Pal , Ulrich Heinz
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