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The hydrodynamic attractor is a concept that describes universal equilibration behavior in which systems lose microscopic details before hydrodynamics becomes applicable. We propose a setup to observe hydrodynamic attractors in ultracold…

Quantum Gases · Physics 2025-06-18 Keisuke Fujii , Tilman Enss

The hydrodynamic attractors paradigm aims to explain the applicability of hydrodynamics after a very short timescale in ultra-relativistic nuclear collisions at RHIC and LHC in terms of the emergence of universal behavior across different…

High Energy Physics - Theory · Physics 2025-08-25 Michal P. Heller , Clemens Werthmann

One of the many physical questions that have emerged from studies of heavy-ion collisions at RHIC and the LHC concerns the validity of hydrodynamic modelling at the very early stages, when the Quark-Gluon Plasma system produced is still far…

Nuclear Theory · Physics 2023-08-24 Jakub Jankowski , Michał Spaliński

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

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

Non-conformal attractor behavior is studied by solving non-conformal second order viscous hydrodynamics with respect to boost-invariant plasmas. Numerical solutions of the relative decay rate of the enthalpy density, the inverse shear and…

Nuclear Theory · Physics 2022-03-14 Zenan Chen , Li Yan

Hydrodynamic attractors have recently gained prominence in the context of early stages of ultra-relativistic heavy-ion collisions at the RHIC and LHC. We critically examine the existing ideas on this subject from a phase space point of…

High Energy Physics - Theory · Physics 2020-09-24 Michal P. Heller , Ro Jefferson , Michał Spaliński , Viktor Svensson

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

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

We exploit the concept of hydrodynamic attractors to establish a general relation between the initial state energy and the produced particle multiplicities in high-energy nuclear collisions. When combined with an ab initio model of energy…

High Energy Physics - Phenomenology · Physics 2021-01-01 Giuliano Giacalone , Aleksas Mazeliauskas , Sören Schlichting

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

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

The quark-gluon plasma created in heavy-ion collisions is not in local thermal equilibrium at early times. Despite this, dissipative hydrodynamics describes the evolution of the energy-momentum tensor quite well after only roughly 0.5 - 1…

High Energy Physics - Phenomenology · Physics 2019-07-24 Michael Strickland

We provide a generalized formulation of fluctuating hydrodynamics for the far-from-equilibrium noisy medium. As an example, we consider a noisy plasma experiencing Bjorken expansion, for which the leading order evolution is captured by…

Nuclear Theory · Physics 2022-06-28 Zenan Chen , Derek Teaney , Li Yan

"Attractor" solutions for the pre-hydrodynamic, far-from-equilibrium, evolution of the matter produced in relativistic heavy ion collisions have emerged as crucial descriptors of the rapid hydrodynamization of quark-gluon plasma (QGP).…

High Energy Physics - Phenomenology · Physics 2025-04-22 Krishna Rajagopal , Bruno Scheihing-Hitschfeld , Rachel Steinhorst

Using anisotropic hydrodynamics, we examine the existence of early-time attractors of non-conformal systems undergoing Bjorken expansion. In the case of a constant mass, we find that the evolution of the scaled longitudinal pressure is…

Nuclear Theory · Physics 2023-05-01 Mubarak Alqahtani

A review of the recent progress of relativistic hydrodynamic attractors is presented, with a focus on applications in heavy ion collisions and the quark gluon plasma. Pedagogical introductions to the effective descriptions relevant for…

High Energy Physics - Theory · Physics 2022-04-27 Alexander Soloviev

The far-from equilibrium dynamics of the pre-hydrodynamic quark-gluon plasma (QGP) formed in heavy ion collisions can be characterized by distinct stages, during each of which the system loses some memory of its initial condition, until…

High Energy Physics - Phenomenology · Physics 2025-04-21 Krishna Rajagopal , Bruno Scheihing-Hitschfeld , Rachel Steinhorst

We clarify the connection between attractor solutions known from studies of Bjorken flow in conformal models of relativistic fluid dynamics and the more general description of attractors as submanifolds in phase space. We show how to…

Nuclear Theory · Physics 2025-08-29 Michał Spaliński

In this proceedings contribution I review recent work in kinetic theory which demonstrates that, for system undergoing Bjorken expansion, there exists an attractor in all moments of the one-particle distribution function. I discuss how this…

High Energy Physics - Phenomenology · Physics 2020-09-10 Michael Strickland
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