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Related papers: Analytical attractor for Bjorken expansion

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In the initial stage of relativistic heavy-ion collisions, strong magnetic fields appear due to the large velocity of the colliding charges. The evolution of these fields appears as a novel and intriguing feature in the fluid-dynamical…

Nuclear Theory · Physics 2016-06-03 Victor Roy , Shi Pu , Luciano Rezzolla , Dirk Rischke

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

We consider the dynamics of an expanding superfluid modeled by Mueller-Israel-Stewart theory coupled to a complex scalar field with a $U(1)$ symmetry that is spontaneously broken. This is a manageable theoretical setting for explorations of…

High Energy Physics - Theory · Physics 2026-03-19 Alexander Soloviev , Michał Spaliński

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 present new analytic solutions to the relativistic Boltzmann equation within the relaxation time approximation. We first obtain spherically expanding solutions which are the kinetic counterparts of the exact solutions of the…

High Energy Physics - Theory · Physics 2015-04-22 Yoshitaka Hatta , Mauricio Martinez , Bo-Wen Xiao

The framework of anisotropic hydrodynamics is generalized to include finite particle masses. Two schemes are introduced and their predictions compared with exact solutions of the kinetic equation in the relaxation time approximation. The…

High Energy Physics - Phenomenology · Physics 2014-05-22 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland , Leonardo Tinti

We study the response function which describes the evolution of energy density induced by an initial disturbance for a Bjorken-expanding quark-gluon plasma (QGP). We compare the results from solving linearized Boltzmann equation under the…

Nuclear Theory · Physics 2020-11-11 Weiyao Ke , Yi Yin

It is shown that the boost-invariant and cylindrically non-symmetric hydrodynamic equations for baryon-free matter may be reduced to only two coupled differential equations. In the case where the system exhibits the cross-over phase…

Nuclear Theory · Physics 2008-11-26 Mikolaj Chojnacki , Wojciech Florkowski

Whether, how, and to what extent solutions of Bjorken-expanding systems become insensitive to aspects of their initial conditions is of importance for heavy-ion collisions. Here we study 1+1D and phenomenologically relevant boost-invariant…

High Energy Physics - Phenomenology · Physics 2020-03-18 Aleksi Kurkela , Wilke van der Schee , Urs Achim Wiedemann , Bin Wu

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…

Nuclear Theory · Physics 2017-02-01 Yukinao Akamatsu , Aleksas Mazeliauskas , Derek Teaney

The contribution presents a brief summary of the Gauge/Gravity approach to the study of hydrodynamic flow of the quark-gluon plasma formed in heavy-ion collisions, in a boost-invariant setting (Bjorken flow). Considering the ideal case of a…

High Energy Physics - Phenomenology · Physics 2014-11-20 R. A. Janik , Robi Peschanski

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 propose a generalization of the Bjorken in-out Ansatz for fluid trajectories which, when applied to the (1+1) hydrodynamic equations, generates a one-parameter family of analytic solutions interpolating between the boost-invariant…

Nuclear Theory · Physics 2008-11-26 A. Bialas , R. A. Janik , R. Peschanski

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 derive a system of moment-based dynamical equations that describe the 1+1d space-time evolution of a cylindrically symmetric massive gas undergoing boost-invariant longitudinal expansion. Extending previous work, we introduce an explicit…

High Energy Physics - Phenomenology · Physics 2014-07-30 Mohammad Nopoush , Radoslaw Ryblewski , Michael Strickland

We exactly solve the relaxation-time approximation Boltzmann equation for a system which is transversely homogeneous and undergoing boost-invariant longitudinal expansion. We compare the resulting exact numerical solution with approximate…

Nuclear Theory · Physics 2013-09-27 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland

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

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…

High Energy Physics - Theory · Physics 2019-09-23 Alireza Behtash , C. N. Cruz-Camacho , Syo Kamata , M. Martinez

We develop a systematic method to obtain the solution of the collisionless Boltzmann equation which describes the growth of large-scale structures as a perturbative series over the initial density perturbations. We give an explicit…

Astrophysics · Physics 2009-11-06 P. Valageas

We study the convergence of the hydrodynamic series in the gravity dual of Gauss-Bonnet gravity in five dimensions with negative cosmological constant via holography. By imposing boost invariance symmetry, we find a solution to the…

High Energy Physics - Theory · Physics 2018-05-23 Jorge Casalderrey-Solana , Nikola I. Gushterov , Ben Meiring