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For the Bjorken flow we investigate the hydrodynamization of different modes of the one-particle distribution function by analyzing its relativistic kinetic equations. We calculate the constitutive relations of each mode written as a…

高能物理 - 理论 · 物理学 2019-09-23 Alireza Behtash , C. N. Cruz-Camacho , Syo Kamata , M. Martinez

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…

高能物理 - 唯象学 · 物理学 2021-03-24 A. Behtash , S. Kamata , M. Martinez , T. Schaefer , V. Skokov

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…

The dynamical scaling behavior of hydrodynamic and non-hydrodynamic moments of the distribution function is studied using third-order Chapman-Enskog hydrodynamics and anisotropic hydrodynamics for systems undergoing Bjorken and Gubser…

核理论 · 物理学 2019-02-20 Chandrodoy Chattopadhyay , Ulrich Heinz , Subrata Pal , Gojko Vujanovic

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…

高能物理 - 唯象学 · 物理学 2023-08-03 Chandrodoy Chattopadhyay , Ulrich Heinz , Thomas Schaefer

Fluid dynamics is traditionally thought to apply only to systems near local equilibrium. In this case, the effective theory of fluid dynamics can be constructed as a gradient series. Recent applications of resurgence suggest that this…

高能物理 - 理论 · 物理学 2018-01-19 Paul Romatschke

We study the evolution of hydrodynamic and non-hydrodynamic moments of the distribution function using anisotropic and third-order Chapman-Enskog hydrodynamics for systems undergoing Bjorken and Gubser flows. The hydrodynamic results are…

核理论 · 物理学 2018-06-20 Chandrodoy Chattopadhyay , Ulrich Heinz , Subrata Pal , Gojko Vujanovic

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…

核理论 · 物理学 2021-11-24 Jean-Paul Blaizot , Li Yan

Using and comparing kinetic theory and second-order Chapman-Enskog hydrodynamics, we study the non-conformal dynamics of a system undergoing Bjorken expansion. We use the concept of `free-streaming fixed lines' for scaled shear and bulk…

高能物理 - 唯象学 · 物理学 2022-03-14 Sunil Jaiswal , Chandrodoy Chattopadhyay , Lipei Du , Ulrich Heinz , Subrata Pal

We examine the applicability of relativistic hydrodynamics far from equilibrium by constructing formal solutions of the Boltzmann moment equations in the relaxation time approximation. These solutions naturally decompose into a divergent…

核理论 · 物理学 2026-04-29 Reghukrishnan Gangadharan

We resum the non-equilibrium gradient corrections to a single-particle distribution function evolved by the Boltzmann equation in the relaxation time approximation (RTA). We first study a system undergoing Bjorken expansion and show that,…

核理论 · 物理学 2020-05-13 Mike McNelis , Ulrich Heinz

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,…

高能物理 - 理论 · 物理学 2018-03-07 Alireza Behtash , C. N. Cruz-Camacho , M. Martinez

This paper introduces the use of statistical distributions based on transport differential equations for clear distinction of transport modes within transient kinetic experiments. More specifically,novel techniques are developed for the…

应用统计 · 统计学 2025-01-08 M. Ross Kunz , Debtanu Maiti , Gregory Yablonsky , Rebecca Fushimi

In this work we present a general derivation of relativistic fluid dynamics from the Boltzmann equation using the method of moments. The main difference between our approach and the traditional 14-moment approximation is that we will not…

核理论 · 物理学 2015-06-04 G. S. Denicol , H. Niemi , E. Molnar , D. H. Rischke

In this work we investigate the impact of conformal symmetry breaking on hydrodynamization of a far-from-equilibrium fluid. We find a new kind of transseries solutions for the non-conformal hydrodynamic equations of a longitudinal boost…

流体动力学 · 物理学 2023-06-21 Syo Kamata , Jakub Jankowski , Mauricio Martinez

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…

核理论 · 物理学 2017-02-01 Yukinao Akamatsu , Aleksas Mazeliauskas , Derek Teaney

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…

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…

核理论 · 物理学 2019-01-16 L. Tinti , G. Vujanovic , J. Noronha , U. Heinz

We study the evolution of the Knudsen and Reynolds numbers in (0+1)-dimensionally expanding fluids with Bjorken symmetry for systems whose microscopic mean free path rises more quickly with time than usually assumed. This allows us to…

核理论 · 物理学 2019-12-20 Chandrodoy Chattopadhyay , Ulrich W. Heinz

Perturbative expansions, such as the well-known gradient series and the recently proposed slow-roll expansion, have been recently used to investigate the emergence of hydrodynamic behavior in systems undergoing Bjorken flow. In this paper…

核理论 · 物理学 2019-06-19 Gabriel Denicol , Jorge Noronha
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