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Related papers: Validity of relativistic hydrodynamics beyond loca…

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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

A foundational question in relativistic fluid mechanics concerns the properties of the hydrodynamic gradient expansion at large orders. We establish the precise conditions under which this gradient expansion diverges for a broad class of…

High Energy Physics - Theory · Physics 2021-09-08 Michal P. Heller , Alexandre Serantes , Michał Spaliński , Viktor Svensson , Benjamin Withers

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 derive the Hydrodynamics for a system of N active, spherical, underdamped particles, interacting through conservative forces. At the microscopic level, we represent the evolution of the particles in terms of the Kramers equation for the…

Statistical Mechanics · Physics 2022-03-15 Umberto Marini Bettolo Marconi , Andrea Puglisi , Lorenzo Caprini

We study the evolution of local event-by-event deviations from smooth average fluid dynamic fields, as they can arise in heavy ion collisions from the propagation of fluctuating initial conditions. Local fluctuations around Bjorken flow are…

Nuclear Theory · Physics 2012-08-20 Stefan Floerchinger , Urs Achim Wiedemann

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

Starting with the relativistic Boltzmann equation where the collision term is generalized to include nonlocal effects via gradients of the phase-space distribution function, and using Grad's 14-moment approximation for the distribution…

Nuclear Theory · Physics 2013-05-23 Amaresh Jaiswal , Rajeev S. Bhalerao , Subrata Pal

Our contribution concerns with the numerical solution of the 3D general relativistic hydrodynamical system of equations within the framework of the 3+1 formalism. We summarize the theoretical ingredients which are necessary in order to…

Astrophysics · Physics 2007-05-23 J. M. Ibanez , M. A. Aloy , J. A. Font , J. M. Marti , J. A. Miralles , J. A. Pons

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

We provide a systematic framework for solving the initial value problem for relativistic hydrodynamics formulated as a gradient expansion. Secular growth is handled by a suitable covariant resummation scheme, which reorganises the degrees…

High Energy Physics - Theory · Physics 2025-11-12 Michal P. Heller , Alexandre Serantes , Michał Spaliński , Benjamin Withers

We numerically solve fully (3+1)-dimensional relativistic hydrodynamical equation coupled with the baryon number conservation law without spatial symmetry. We discuss the effect of transverse expansion based on the deviation our numerical…

Nuclear Theory · Physics 2007-05-23 C. Nonaka , S. Muroya , O. Miyamura

Nonthermal fixed points are paradigmatic far-from-equilibrium phenomena of relevance to high-energy physics, cosmology, and cold atomic gases. We propose that, despite their intrinsically nonequilibrium nature, nonthermal fixed points give…

High Energy Physics - Theory · Physics 2025-04-29 Jürgen Berges , Gabriel S. Denicol , Michal P. Heller , Thimo Preis

We find the general analytical solution of the viscous relativistic hydrodynamic equations (in the absence of bulk viscosity and chemical potential) for a Bjorken expanding fluid with a constant shear viscosity relaxation time. We…

Nuclear Theory · Physics 2018-04-04 Gabriel S. Denicol , Jorge Noronha

In this paper, we give an overview of the results established in [3] which provides the first rigorous derivation of hydrodynamic equations from the Boltzmann equation for inelastic hard spheres in 3D. In particular, we obtain a new system…

Analysis of PDEs · Mathematics 2022-05-04 Ricardo J. Alonso , Bertrand Lods , Isabelle Tristani

Relativistic fluid dynamics finds application in astrophysics, cosmology and the physics of high-energy heavy-ion collisions. In this thesis, we present our work on the formulation of relativistic dissipative fluid dynamics within the…

Nuclear Theory · Physics 2014-08-06 Amaresh Jaiswal

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

The relativistic theory of hydrodynamic fluctuations, or noise, is derived and applied to high energy heavy ion collisions. These fluctuations are inherent in any space-time varying system and are in addition to initial state fluctuations.…

Nuclear Theory · Physics 2012-01-18 Joseph Kapusta , Berndt Mueller , Misha Stephanov

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 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 extend our approach for the exact solution of the Riemann problem in relativistic hydrodynamics to the case in which the fluid velocity has components tangential to the initial discontinuity. As in one-dimensional flows, we here show…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Rezzolla , O. Zanotti , J. A. Pons