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Related papers: On attractor and fixed points in Bjorken flows

200 papers

We study the far-off-equilibrium dynamics of a Bjorken expanding non-conformal system within kinetic theory and hydrodynamics. We show that, in contrast to the conformal case, neither shear nor bulk viscous pressure relax quickly to a…

Nuclear Theory · Physics 2022-08-02 Sunil Jaiswal , Subrata Pal , Chandrodoy Chattopadhyay , Lipei Du , Ulrich Heinz

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

We investigate the impact of momentum-dependent relaxation time approximation in the Boltzmann equation within the Bjorken flow framework by analyzing the moments of the single-particle distribution function. The moment equations, which…

Nuclear Theory · Physics 2025-10-23 Reghukrishnan Gangadharan , Sukanya Mitra , Victor Roy

We investigate the implications of the general frame approach for conformal Bjorken flow beyond the earlier studies. We show that the power series solution at late times is not unique and is accompanied by an exact solution of the form…

High Energy Physics - Theory · Physics 2020-09-02 M. Shokri , F. Taghinavaz

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

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

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

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…

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

We introduce a novel approach to study the longitudinal hydrodynamic expansion of the quark-gluon fluid created in heavy-ion collisions. It consists of two steps: First, we apply the maximum entropy method to reconstruct the freeze-out…

Nuclear Theory · Physics 2014-04-24 Mikhail Stephanov , Yi Yin

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

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…

Fluid Dynamics · Physics 2023-06-21 Syo Kamata , Jakub Jankowski , Mauricio Martinez

We investigate the attractor of spin density in relativistic spin hydrodynamics using Zubarev's non-equilibrium statistical operator formalism in the spin probe limit. We derive the (0+1)D Bjorken flow equations and the associated attractor…

High Energy Physics - Phenomenology · Physics 2026-05-27 Qi Zhou , Duan She , Ben-Wei Zhang , Enke Wang

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

In this paper we describe in full details a new family of recently found exact solutions of relativistic, perfect fluid dynamics. With an ansatz, which generalizes the well-known Hwa-Bjorken solution, we obtain a wide class of new exact,…

Nuclear Theory · Physics 2008-11-26 M. I. Nagy , T. Csorgo , M. Csanad

We solve a Boltzmann equation for massless quark and gluon fluids in a transversally homogeneous, longitudinally boost-invariant expansion. Quarks can be out of chemical equilibrium and the relaxation times of the two species are assumed to…

High Energy Physics - Phenomenology · Physics 2024-12-20 Ferdinando Frascà , Andrea Beraudo , Michael Strickland

We explore the transition to hydrodynamics in a weakly-coupled model of quark-gluon plasma given by kinetic theory in the relaxation time approximation with conformal symmetry. We demonstrate that the gradient expansion in this model has a…

Nuclear Theory · Physics 2018-06-12 Michal P. Heller , Aleksi Kurkela , Michal Spalinski , Viktor Svensson

In relativistic kinetic theory, the one-particle distribution function is approximated by an asymptotic perturbative power series in Knudsen number which is divergent. For the Bjorken flow, we expand the distribution function in terms of…

High Energy Physics - Theory · Physics 2019-07-09 Alireza Behtash , Syo Kamata , M. Martinez , Haosheng Shi

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

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

Hybrid fluid models, consisting of two sectors with more weakly and more strongly self-interacting degrees of freedom coupled consistently as in the semi-holographic framework, have been shown to exhibit an attractor surface for Bjorken…

High Energy Physics - Phenomenology · Physics 2024-04-12 Toshali Mitra , Sukrut Mondkar , Ayan Mukhopadhyay , Anton Rebhan , Alexander Soloviev