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Thermal transport in classical fluids is analyzed in terms of a Higher-Order Generalized Hydrodynamics (or Mesoscopic Hydro-Thermodynamics), that is, depending on the evolution of the energy density and its fluxes of all orders. It is…

Statistical Mechanics · Physics 2020-04-16 Cloves G. Rodrigues , Carlos A. B. Silva , Jose Galvao Ramos , Roberto Luzzi

It is shown that the hydrodynamic modes of a dilute granular gas of inelastic hard spheres can be identified, and calculated in the long wavelength limit. Assuming they dominate at long times, formal expressions for the Navier-Stokes…

Statistical Mechanics · Physics 2009-11-10 J. Javier Brey , M. J. Ruiz-Montero , P. Maynar , I. Garcia de Soria

We consider the low-energy effective field theory describing the infrared dynamics of non-dissipative fluids. We extend previous work to accommodate conserved charges, and we clarify the matching between field theory variables and…

High Energy Physics - Theory · Physics 2012-08-23 Sergei Dubovsky , Lam Hui , Alberto Nicolis , Dam Thanh Son

The onset of hydrodynamics in the hot medium created in relativistic heavy-ion collisions is a crucial theoretical question. A first-principle simulation requires a real-time, non-perturbative calculation of the quantum system. In this…

High Energy Physics - Phenomenology · Physics 2025-09-16 Haiyang Shao , Shile Chen , Shuzhe Shi

We develop a 1+1 dimensional hydrodynamical model for central heavy-ion collisions at ultrarelativistic energies. Deviations from Bjorken's scaling are taken into account by implementing finite-size profiles for the initial energy density.…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. M. Satarov , I. N. Mishustin , A. V. Merdeev , H. Stoecker

In the presence of interactions, periodically-driven quantum systems generically thermalize to an infinite-temperature state. Recently, however, it was shown that in random kicked rotors with local interactions, this long-time equilibrium…

Quantum Gases · Physics 2022-10-14 Maxime Martinez , Pierre-Élie Larré , Dominique Delande , Nicolas Cherroret

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 discuss dense states of QCD matter formed in high-energy hadronic and heavy-ion collisions from the point of view of statistical physics of non-equilibrium processes. For this sake, we first propose a formulation of the dynamical entropy…

High Energy Physics - Phenomenology · Physics 2013-03-27 Robi Peschanski

In this work, we introduce an effective model for both ideal and viscous fluid dynamics within the framework of kinetic field theory (KFT). The main application we have in mind is cosmic structure formation where gaseous components need to…

Statistical Mechanics · Physics 2018-11-01 C. Viermann , J. T. Schneider , R. Lilow , F. Fabis , C. Littek , E. Kozlikin , M. Bartelmann

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

Nuclei colliding at very high energy create a strong, quasi-classical gluon field during the initial phase of their interaction. We present an analytic calculation of the initial space-time evolution of this field in the limit of very high…

Nuclear Theory · Physics 2016-01-06 G. Chen , R. J. Fries , J. I. Kapusta , Y. Li

To describe ultrarelativistic heavy-ion collisions we construct a three-fluid hydrodynamical model. In contrast to one-fluid hydrodynamics, it accounts for the finite stopping power of nuclear matter, i.e. for nonequilibrium effects in the…

Nuclear Theory · Physics 2016-09-08 J. Brachmann , A. Dumitru , J. A. Maruhn , H. Stöcker , W. Greiner , D. H. Rischke

Density perturbations and their dynamic evolution from early to late times can be used for an improved understanding of interesting physical phenomena both in cosmology and in the context of heavy-ion collisions. We discuss the spectrum and…

High Energy Physics - Phenomenology · Physics 2015-03-11 Nikolaos Brouzakis , Stefan Floerchinger , Nikolaos Tetradis , Urs Achim Wiedemann

Viscous hydrodynamics is commonly used to model the evolution of the matter created in an ultra-relativistic heavy-ion collision. It provides a good description of transverse momentum spectra and anisotropic flow. These observables,…

Nuclear Theory · Physics 2015-07-13 Salvatore Plumari , Giovanni Luca Guardo , Vincenzo Greco , Jean-Yves Ollitrault

High-energy nuclear collisions exhibit collective flow, which emerges as a dynamical response of the Quark-Gluon Plasma (QGP) to the initial state geometry of the collision. Collective flow in heavy-ion collisions is usually described…

High Energy Physics - Phenomenology · Physics 2025-04-21 Victor E. Ambrus , Sören Schlichting , Clemens Werthmann

Quasistatic evolutions of critical points of time-dependent energies exhibit piecewise smooth behavior, making them useful for modeling continuum mechanics phenomena like elastic-plasticity and fracture. Traditionally, such evolutions have…

Optimization and Control · Mathematics 2026-01-09 Stefano Almi , Massimo Fornasier , Jona Klemenc , Alessandro Scagliotti

The evolution of a relativistic heavy-ion collision is typically understood as a process that transmutes the initial geometry of the system into the final momentum distribution of observed hadrons, which can be described via a cumulant…

Nuclear Theory · Physics 2021-02-03 Jefferson Sousa , Jorge Noronha , Matthew Luzum

Understanding the hydrodynamics of out-of-equilibrium dense viscous fluids is of key importance to accurate descriptions of physical systems such as compact stars, particularly their mergers. We consider a near-equilibrium relativistic…

High Energy Physics - Phenomenology · Physics 2025-07-17 Saga Säppi

Initial fluctuations in hydrodynamic fields such as energy density or flow velocity give access to understanding initial state and equilibration physics as well as thermodynamic and transport properties. We provide evidence that the fluid…

High Energy Physics - Phenomenology · Physics 2015-06-22 Stefan Floerchinger , Urs Achim Wiedemann , Andrea Beraudo , Luca Del Zanna , Gabriele Inghirami , Valentina Rolando

We argue that the idea that the parton system created in relativistic heavy-ion collisions is formed in a state with transverse momenta close to thermodynamic equilibrium and its subsequent dynamics at early times is dominated by pure…

Nuclear Theory · Physics 2008-11-26 A. Bialas , M. Chojnacki , W. Florkowski
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