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Related papers: Far-from-equilibrium attractor in non-conformal pl…

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In this contributed chapter, I review our current understanding of the applicability of hydrodynamics to modeling the quark-gluon plasma (QGP), focusing on the question of hydrodynamization/thermalization of the QGP and the anisotropic…

Nuclear Theory · Physics 2024-02-16 Michael Strickland

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

We consider the hydrodynamic evolution of a quark-gluon gas with non-zero quark masses and net baryon number in its phase diagram. For far-off-equilibrium initial conditions the expansion trajectories appear to violate simple rules based on…

High Energy Physics - Phenomenology · Physics 2023-05-03 Chandrodoy Chattopadhyay , Ulrich Heinz , Thomas Schaefer

Nonthermal attractors govern the emergent self-similar dynamics of far-from-equilibrium quantum systems, from ultrarelativistic nuclear collisions to cold-atom experiments. Within the framework of adiabatic hydrodynamization, the approach…

High Energy Physics - Phenomenology · Physics 2025-12-19 Matisse De Lescluze , Michal P. Heller , Aleksas Mazeliauskas , Bruno Scheihing-Hitschfeld , Clemens Werthmann

The nonequilibrium evolution in a boost-invariant Bjorken flow of a hybrid viscous fluid model containing two interacting components with different viscosities, such that they represent strongly and weakly self-coupled sectors, is shown to…

High Energy Physics - Phenomenology · Physics 2021-01-04 Toshali Mitra , Sukrut Mondkar , Ayan Mukhopadhyay , Anton Rebhan , Alexander Soloviev

Understanding how hydrodynamics emerges rapidly in the medium produced by relativistic heavy-ion collisions remains a key theoretical challenge. While the attractor solution -- manifesting as a non-thermal fixed point during the early…

Nuclear Theory · Physics 2025-09-12 Shile Chen , Shuzhe Shi

We explore the far-off-equilibrium aspects of the (1+1)-dimensional early-stage evolution of a weakly-coupled quark-gluon plasma using kinetic theory and hydrodynamics. For a large set of far-off-equilibrium initial conditions the system…

Nuclear Theory · Physics 2023-12-11 Chandrodoy Chattopadhyay , Ulrich Heinz , Thomas Schaefer

Standard textbooks will state that hydrodynamics requires near-equilibrium to be applicable. Recently, however, out-of-equilibrium attractor solutions for hydrodynamics have been found in kinetic theory and holography in systems with a high…

High Energy Physics - Theory · Physics 2018-01-19 Paul Romatschke

Hydrodynamic attractors are a universal phenomenon of strongly interacting systems that describe the hydrodynamic-like evolution far from local equilibrium. In particular, the rapid hydrodynamization of the Quark-Gluon Plasma is behind the…

Quantum Gases · Physics 2026-03-17 Aleksas Mazeliauskas , Tilman Enss

We develop a far-from-equilibrium hydrodynamic model to evolve ultrarelativistic heavy-ion collisions in event-by-event simulations. Anisotropic hydrodynamics is designed to better handle the strong and highly anisotropic expansion during…

High Energy Physics - Phenomenology · Physics 2021-05-14 Mike McNelis

We discuss the non-equilibrium attractors of systems undergoing Gubser flow within kinetic theory by means of nonlinear dynamical systems. We obtain the attractors of anisotropic hydrodynamics, Israel-Stewart (IS) and transient fluid (DNMR)…

High Energy Physics - Theory · Physics 2018-07-27 Nikolás Cruz-Camacho , Mauricio Martinez

We examine the capabilities of second-order Israel-Stewart-type hydrodynamics to capture the early-time behaviour of the quark-gluon plasma created in heavy-ion collisions. We point out that at very early times, the dynamics of the fireball…

Nuclear Theory · Physics 2025-01-08 Victor E. Ambruş , Sören Schlichting , Clemens Werthmann

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

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 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

Prescaling is a far-from-equilibrium phenomenon which describes the rapid establishment of a universal scaling form of distributions much before the universal values of their scaling exponents are realized. We consider the example of the…

High Energy Physics - Phenomenology · Physics 2019-04-30 Aleksas Mazeliauskas , Jürgen Berges

We use quasiparticle anisotropic hydrodynamics to study the non-conformal and non-extensive dynamics of a system undergoing boost-invariant Bjorken expansion. To introduce nonextensivity, we use an underlying Tsallis distribution with a…

Nuclear Theory · Physics 2022-11-23 Mubarak Alqahtani , Nasser Demir , Michael Strickland

There is mounting evidence suggesting that relativistic hydrodynamics becomes relevant for the physics of quark-gluon plasma as the result of nonhydrodynamic modes decaying to an attractor apparent even when the system is far from local…

High Energy Physics - Theory · Physics 2017-12-14 Michał Spaliński

We derive the general analytical solution of the viscous hydrodynamic equations for an ultrarelativistic gas of hard spheres undergoing Bjorken expansion, taking into account effects from particle number conservation, and use it to…

Nuclear Theory · Physics 2020-04-22 Gabriel S. Denicol , Jorge Noronha

The momentum distribution of particle production in heavy-ion collisions encodes information about thermalization processes in the early-stage quark-gluon plasma. We use kinetic theory to study the far-from-equilibrium evolution of an…

Nuclear Theory · Physics 2022-12-05 Jasmine Brewer , Weiyao Ke , Li Yan , Yi Yin