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Consistent formulations of relativistic viscous hydrodynamics involve short lived modes, leading to asymptotic rather than convergent gradient expansions. In this Letter we consider the Mueller-Israel-Stewart theory applied to a…

High Energy Physics - Theory · Physics 2015-08-31 Michal P. Heller , Michal Spalinski

We propose a new scenario characterizing the transition of the quark-gluon plasma (QGP) produced in heavy-ion collisions from a highly non-equilibrium state at early times toward a fluid described by hydrodynamics at late times. We develop…

Nuclear Theory · Physics 2021-03-11 Jasmine Brewer , Li Yan , Yi Yin

How physical systems approach hydrodynamic behavior is governed by the decay of nonhydrodynamic modes. Here, we start from a relativistic kinetic theory that encodes relaxation mechanisms governed by different timescales thus sharing…

High Energy Physics - Phenomenology · Physics 2017-12-13 Aleksi Kurkela , Urs Achim Wiedemann

The pre-equilibrium evolution of a quark-gluon plasma produced in a heavy-ion collision is studied in the framework of kinetic theory. We discuss the approach to local thermal equilibrium, and the onset of hydrodynamics, in terms of a…

Nuclear Theory · Physics 2018-01-17 Jean-Paul Blaizot , Li Yan

We utilize the fluid-gravity duality to investigate the large order behavior of hydrodynamic gradient expansion of the dynamics of a gauge theory plasma system. This corresponds to the inclusion of dissipative terms and transport…

High Energy Physics - Theory · Physics 2013-05-27 Michal P. Heller , Romuald A. Janik , Przemyslaw Witaszczyk

We compute the gradient expansion for anisotropic hydrodynamics. The results are compared with the corresponding expansion of the underlying kinetic-theory model with the collision term treated in the relaxation time approximation. We find…

Nuclear Theory · Physics 2016-12-28 Wojciech Florkowski , Radoslaw Ryblewski , Michał Spaliński

Understanding hydrodynamization in microscopic models of heavy-ion collisions has been an important topic in current research. Many lessons obtained within the strongly-coupled (holographic) models originate from the properties of transient…

Nuclear Theory · Physics 2018-09-24 Michal P. Heller , Viktor Svensson

We use a set of simple angular moments to solve the Boltzmann equation in the relaxation time approximation for a boost invariant longitudinally expanding gluonic plasma. The transition from the free streaming regime at early time to the…

Nuclear Theory · Physics 2020-01-08 Jean-Paul Blaizot , Li Yan

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

Hydrodynamics is applied to describe the dynamics of relativistic heavy-ion collisions. The focus of the present study is the influence of a possible (phase) transition to the quark-gluon plasma in the nuclear matter equation of state on…

Nuclear Theory · Physics 2009-10-30 Dirk H. Rischke

Understanding the applicability of fluid-dynamical models to describe the hot and dense matter produced in the early stages of hadronic collisions is a fundamental problem in the field. In particular, it is not clear to what degree this…

Nuclear Theory · Physics 2025-10-17 Caio V. P. de Brito , Gabriel S. Denicol

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…

Nuclear Theory · Physics 2026-04-29 Reghukrishnan Gangadharan

Far-from-equilibrium kinetic systems collapse onto a hydrodynamic attractor, traditionally approximated by a gradient expansion. While temporal gradient series are non-Borel summable and require transseries completions, the analytic…

Mathematical Physics · Physics 2026-04-07 Mahdi Kooshkbaghi

Hydrodynamic excitations corresponding to sound and shear modes in fluids are characterised by gapless dispersion relations. In the hydrodynamic gradient expansion, their frequencies are represented by power series in spatial momenta. We…

High Energy Physics - Theory · Physics 2019-07-02 Sašo Grozdanov , Pavel K. Kovtun , Andrei O. Starinets , Petar Tadić

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…

Nuclear Theory · Physics 2021-11-24 Jean-Paul Blaizot , Li Yan

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 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,…

Nuclear Theory · Physics 2020-05-13 Mike McNelis , Ulrich Heinz

We study thermalization, hydrodynamization, and chemical equilibration in out-of-equilibrium Quark-Gluon Plasma starting from various initial conditions using QCD effective kinetic theory, valid at weak coupling. In non-expanding systems…

High Energy Physics - Phenomenology · Physics 2019-04-30 Aleksi Kurkela , Aleksas Mazeliauskas

Quark-gluon plasma's (QGP) properties at non-hydrodynamic and non-perturbative regimes remain largely unexplored. Here, we examine the response functions describing how a QGP-like plasma responds to initial energy-momentum disturbance in…

Nuclear Theory · Physics 2024-04-10 Weiyao Ke , Yi Yin

The success of relativistic hydrodynamics as an essential part of the phenomenological description of heavy-ion collisions at RHIC and the LHC has motivated a significant body of theoretical work concerning its fundamental aspects. Our…

High Energy Physics - Phenomenology · Physics 2018-03-14 Wojciech Florkowski , Michal P. Heller , Michal Spalinski
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