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Related papers: Analytical attractor for Bjorken expansion

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Relativistic hydrodynamics simulations of quark-gluon plasma play a pivotal role in our understanding of heavy ion collisions at RHIC and LHC. They are based on a phenomenological description due to Mueller, Israel, Stewart (MIS) and…

High Energy Physics - Theory · Physics 2016-08-08 Michal P. Heller , Romuald A. Janik , Michal Spalinski , Przemyslaw Witaszczyk

Anisotropic hydrodynamics is a reorganization of the relativistic hydrodynamics expansion, with the leading order already containing substantial momentum-space anisotropies. The latter are a cause of concern in the traditional viscous…

High Energy Physics - Phenomenology · Physics 2015-06-11 Leonardo Tinti

The onset of hydrodynamics in the hot medium created in relativistic heavy-ion collisions is a crucial theoretical question. A first-principle simulation requires a real-time, non-perturbative calculation of the quantum system. In this…

High Energy Physics - Phenomenology · Physics 2025-09-16 Haiyang Shao , Shile Chen , Shuzhe Shi

We apply stochastic hydrodynamics to the study of charge density fluctuations in QCD matter undergoing Bjorken expansion. We find that the charge density correlations are given by a time integral over the history of the system, with the…

Nuclear Theory · Physics 2014-06-09 B. Ling , T. Springer , M. Stephanov

We search for non-trivial relativistic solutions of the hydrodynamic equations with quasi-inertial flows such as in the Bjorken-like models. The problem is analyzed in general and the known results are reproduced by a method proposed. A new…

Nuclear Theory · Physics 2007-05-23 Yu. M. Sinyukov , Iu. A. Karpenko

We use the Fokker-Planck equation and its moment equations to study the collective behavior of interacting particles in unsteady one-dimensional flows. Particles interact according to a long-range attractive and a short-range repulsive…

Fluid Dynamics · Physics 2014-08-05 Maryam Abedi , Mir Abbas Jalali

Fokker-Planck equation with the velocity-dependent coefficients is considered for various isotropic systems on the basis of probability transition (PT) approach. This method provides the self-consistent and universal description of friction…

Plasma Physics · Physics 2009-11-07 S. A. Trigger

A multispecies, collisionless plasma is modeled by the Vlasov-Poisson system. Assuming that the electric field decays with sufficient rapidity as $t \to\infty$, we show that the velocity characteristics and spatial averages of the particle…

Analysis of PDEs · Mathematics 2022-01-25 Stephen Pankavich

The problem of collisionless plasma slab expansion into vacuum is solved within a two-temperature hydrodynamic approximation in the dispersionless limit of zero Debye radius. In the framework of such an approach, the solution by the Riemann…

Pattern Formation and Solitons · Physics 2021-11-08 S. K. Ivanov , A. M. Kamchatnov

Ab-initio numerical study of collisionless shocks in electron-ion unmagnetized plasmas is performed with fully relativistic particle in cell simulations. The main properties of the shock are shown, focusing on the implications for particle…

High Energy Astrophysical Phenomena · Physics 2011-02-11 S. F. Martins , R. A. Fonseca , L. O. Silva , W. B. Mori

We study the N-dimensional pressureless Navier--Stokes-Poisson equations with density-dependent viscosity. With the extension of the blowup solutions for the Euler-Poisson equations, the analytical blowup solutions,in radial symmetry, in…

Astrophysics · Physics 2009-07-30 Manwai Yuen

Tensors describing boost-invariant and cylindrically symmetric expansion of a relativistic dissipative fluid are decomposed in a suitable chosen basis of projection operators. This leads to a simple set of scalar equations which determine…

Nuclear Theory · Physics 2013-05-30 Wojciech Florkowski , Radoslaw Ryblewski

Based on the already existing analytical theory of the strongly-nonlinear wakefield (which is called "bubble") in transversely inhomogeneous plasmas, we study particular behavior of non-loaded (empty) bubbles and bubbles with accelerated…

Plasma Physics · Physics 2016-10-06 A. A. Golovanov , I. Yu. Kostyukov , J. Thomas , A. Pukhov

We study the application of AdS/CFT duality to longitudinal boost invariant Bjorken expansion of QCD matter produced in ultrarelativistic heavy ion collisions. As the exact (1+4)-dimensional bulk solutions for the (1+3)-dimensional boundary…

High Energy Physics - Theory · Physics 2008-11-26 K. Kajantie , Jorma Louko , T. Tahkokallio

By means of a scaling ansatz, we investigate an approximated solution of the Boltzmann-Vlasov equation for a classical gas. Within this framework, we derive the frequencies and the damping of the collective oscillations of a harmonically…

Condensed Matter · Physics 2009-11-10 P. Pedri , D. Guéry-Odelin , S. Stringari

The non-equilibrium attractors of systems undergoing Gubser flow within relativistic kinetic theory are studied. In doing so we employ well-established methods of nonlinear dynamical systems which rely on finding the fixed points,…

High Energy Physics - Theory · Physics 2018-03-07 Alireza Behtash , C. N. Cruz-Camacho , M. Martinez

In this work we derive and analyze coarse-grained descriptions of self-propelled particles with selective attraction-repulsion interaction, where individuals may respond differently to their neighbours depending on their relative state of…

Soft Condensed Matter · Physics 2016-05-02 Robert Grossmann , Lutz Schimansky-Geier , Pawel Romanczuk

In this paper the determination of material properties such as Sieverts' constant (solubility) and diffusivity (transport rate) via so-called gas release experiments is discussed. In order to simulate the time-dependent hydrogen fluxes and…

Applied Physics · Physics 2021-04-16 Marvin R. Schulz , Kaori Nagatou , Axel von der Weth , Frederik Arbeiter , Volker Pasler

The classical dynamics of a particle that is driven by a rapidly oscillating potential (with frequency $\omega$) is studied. The motion is separated into a slow part and a fast part that oscillates around the slow part. The motion of the…

Chaotic Dynamics · Physics 2007-05-23 Saar Rahav , Eli Geva , Shmuel Fishman

We study the pressureless Navier--Stokes-Poisson equations of describing the evolution of the gaseous star in astrophysics. The isothermal blowup solutions of Yuen, to the Euler-Poisson equations in R2, can be extended to the pressureless…

Astrophysics · Physics 2008-11-04 Manwai Yuen
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