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Related papers: Thermalization & hydrodynamics in Bjorken & Gubser…

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The equations of continuum hydrodynamics can be derived from the Boltzmann equation, which describes rarefied gas dynamics at the kinetic level, by means of the Chapman-Enskog expansion. This expansion assumes a small Knudsen number, and as…

Statistical Mechanics · Physics 2011-10-07 Carlos Escudero

We investigate several hydrodynamization times for an ensemble of different far-from-equilibrium solutions of the strongly coupled $\mathcal{N}=4$ Supersymmetric Yang-Mills plasma undergoing Bjorken flow. For the ensemble of initial data…

Nuclear Theory · Physics 2022-02-15 Romulo Rougemont , Willians Barreto , Jorge Noronha

In this work, we first derive the evolution equation for the general energy-momentum moment of $\delta f$, where $\delta f$ is the deviation from the local equilibrium phase space density. We then introduce a relativistic extension of…

Nuclear Theory · Physics 2024-08-21 Dasen Ye , Sangyong Jeon , Charles Gale

We present the derivation of a novel third-order hydrodynamic evolution equation for shear stress tensor from kinetic theory. Boltzmann equation with relaxation time approximation for the collision term is solved iteratively using…

Nuclear Theory · Physics 2013-09-02 Amaresh Jaiswal

We investigate the non-linear transport processes and hydrodynamization of a system of gluons undergoing longitudinal boost-invariant expansion. The dynamics is described within the framework of the Boltzmann equation in the small-angle…

High Energy Physics - Phenomenology · Physics 2021-03-24 A. Behtash , S. Kamata , M. Martinez , T. Schaefer , V. Skokov

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

Using the recently developed ``Maximum Entropy'' (or ``least biased'') distribution function to truncate the moment hierarchy arising from kinetic theory, we formulate a far-from-equilibrium macroscopic theory that provides the possibility…

High Energy Physics - Phenomenology · Physics 2023-08-03 Chandrodoy Chattopadhyay , Ulrich Heinz , Thomas Schaefer

We develop a set of kinetic equations for hydrodynamic fluctuations which are equivalent to nonlinear hydrodynamics with noise. The hydro-kinetic equations can be coupled to existing second order hydrodynamic codes to incorporate the…

Nuclear Theory · Physics 2018-03-14 Yukinao Akamatsu , Aleksas Mazeliauskas , Derek Teaney

Carroll hydrodynamics arises in the $c\to 0$ limit of relativistic hydrodynamics. Instances of its relevance include the Bjorken and Gubser flow models of heavy-ion collisions, where the ultrarelativistic nature of the flow makes the…

High Energy Physics - Theory · Physics 2026-01-13 Kedar S. Kolekar , Taniya Mandal , Ashish Shukla , Pushkar Soni

Athermal plastic flows were simulated for the Kob-Andersen binary Lennard-Jones system and its repulsive version in which the sign of the attractive terms is changed to a plus. Properties evaluated from simulations at different densities…

Soft Condensed Matter · Physics 2014-11-25 Edan Lerner , Nicholas P. Bailey , Jeppe C. Dyre

The one-dimensional non-boost-invariant evolution of the quark-gluon plasma, presumably produced during the early stages of heavy-ion collisions, is analyzed within the frameworks of viscous and anisotropic hydrodynamics. We neglect…

Nuclear Theory · Physics 2016-12-21 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland , Leonardo Tinti

We investigate the role of the Knudsen number (Kn) as a scaling parameter governing the emergence of collective behavior in relativistic heavy-ion collisions. Using the Relativistic Boltzmann Transport approach, we explore different initial…

High Energy Physics - Phenomenology · Physics 2025-09-09 Vincenzo Nugara , Nicolas Borghini , Vincenzo Greco , Salvatore Plumari

We present a complete formulation of second-order (2+1)-dimensional anisotropic hydrodynamics. The resulting framework generalizes leading-order anisotropic hydrodynamics by allowing for deviations of the one-particle distribution function…

Nuclear Theory · Physics 2014-11-26 Dennis Bazow , Ulrich W. Heinz , Michael Strickland

The recently discovered scaling law for the relaxation times, tau=f(T,V^g), where T is temperature and V the specific volume, is derived by a revision of the entropy model of the glass transition dynamics originally proposed by Avramov [I.…

Soft Condensed Matter · Physics 2009-11-11 R. Casalini , U. Mohanty , C. M. Roland

We reformulate the Boltzmann equation in the relaxation time approximation undergoing Bjorken flow in terms of a novel partial differential equation for the generating function of the moments of the distribution function. This is used to…

Nuclear Theory · Physics 2024-01-15 Inês Aniceto , Jorge Noronha , Michał\ Spaliński

We present results of the application of the anisotropic hydrodynamics (aHydro) framework to (2+1)-dimensional boost invariant systems. The necessary aHydro dynamical equations are derived by taking moments of the Boltzmann equation using a…

Nuclear Theory · Physics 2012-06-20 Mauricio Martinez , Radoslaw Ryblewski , Michael Strickland

A novel description of kinetic theory dynamics is proposed in terms of resummed moments that embed information of both hydrodynamic and non-hydrodynamic modes. The resulting expansion can be used to extend hydrodynamics to higher orders in…

Nuclear Theory · Physics 2019-01-16 L. Tinti , G. Vujanovic , J. Noronha , U. Heinz

We compute the temporal evolution of the pressure anisotropy and bulk pressure of a massive gas using second-order viscous hydrodynamics and anisotropic hydrodynamics. We then compare our results with an exact solution of the Boltzmann…

High Energy Physics - Phenomenology · Physics 2014-10-16 Gabriel S. Denicol , Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland

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 express the transport coefficients appearing in the second-order evolution equations for bulk viscous pressure and shear stress tensor using Bose-Einstein, Boltzmann, and Fermi-Dirac statistics for the equilibrium distribution function…