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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 consider a plasma of massless particles undergoing Bjorken expansion, mimicking the matter created in ultra-relativistic heavy ion collisions. We study the transition to hydrodynamics using kinetic theory in the relaxation time…

Nuclear Theory · Physics 2021-11-24 Jean-Paul Blaizot , Li Yan

In recent years the equations of relativistic first-order viscous hydrodynamics, that is, the relativistic version of Navier-Stokes, have been shown to be well posed and causal under appropriate field redefinitions, also known as…

High Energy Physics - Theory · Physics 2023-12-29 Yago Bea , Pau Figueras

Non-ideal fluid dynamics with cylindrical symmetry in transverse direction and longitudinal scaling flow is employed to simulate the space-time evolution of the quark-gluon plasma produced in heavy-ion collisions at RHIC energies. The…

Nuclear Theory · Physics 2007-05-23 Azwinndini Muronga , Dirk H. Rischke

In this work, we develop a modelling framework for granular flows based on the shallow water moment equations on inclined planes. Under the assumption of a polynomial expansion of the velocity field, the model extends the classical shallow…

Numerical Analysis · Mathematics 2025-12-18 Julio Careaga , Qian Huang , Julian Koellermeier

Description of relativistic heavy-ion collisions at the energies of RHIC Beam Energy Scan program with fluid dynamic approach poses several challenges, one of which being a complex geometry and a longer duration of the pre-hydrodynamic…

Nuclear Theory · Physics 2021-04-26 Jakub Cimerman , Iurii Karpenko , Boris Tomášik , Barbara Antonina Trzeciak

We use a hydrodynamic model to study the space-time evolution transverse to the beam direction in ultrarelativistic heavy-ion collisions with nonzero impact parameters. We focus on the influence of early pressure on the development of…

Nuclear Theory · Physics 2009-10-09 P. F. Kolb , J. Sollfrank , P. V. Ruuskanen , U. Heinz

One of the unsolved problems in the current 'standard model' of heavy ion physics is the apparent rapid thermalization of QCD matter in the pre-equilibrium stage. While it is challenging to probe this mechanism directly, there are now…

High Energy Physics - Phenomenology · Physics 2015-06-22 Thorsten Renk , Rupa Chatterjee , Kari J. Eskola , Harri Niemi , Ilkka Helenius

We solve a leading-order QCD kinetic theory with light quarks and gluon degrees of freedom to study the non-equilibrium dynamics of the quark-gluon plasma (QGP). By including both elastic and inelastic scatterings for quarks and gluon, the…

High Energy Physics - Phenomenology · Physics 2020-10-27 Xiaojian Du , Sören Schlichting

Event-by-event hydrodynamic simulations of AA and pA collisions involve initial energy densities with large spatial gradients. This is associated with the presence of large Knudsen numbers ($K_n\approx 1$) at early times, which may lead one…

Nuclear Theory · Physics 2016-11-23 Jacquelyn Noronha-Hostler , Jorge Noronha , Miklos Gyulassy

Fluid dynamical models preceded the first heavy ion accelerator experiments, and led to the main trend of this research since then. In recent years fluid dynamical processes became a dominant direction of research in high energy heavy ion…

Nuclear Theory · Physics 2015-03-13 L. P. Csernai , H. Stoecker

Using functional methods, we investigate the sound quanta arising from quantized hydrodynamic fields in simple liquids at low temperatures, under the influence of high-energy processes, coming from non-hydrodynamic degrees of freedom. To…

Disordered Systems and Neural Networks · Physics 2025-12-24 I. P. de Freitas , F. Sobrero , A. M. S. Macedo , N. F. Svaiter

The quark gluon plasma is formed in heavy-ion collisions, and it can be described by solutions of relativistic hydrodynamics. In this paper we utilize perturbative hydrodynamics, where we study first order perturbations on top of a known…

High Energy Physics - Theory · Physics 2019-09-06 Bálint Kurgyis , Máté Csanád

Extreme events play a crucial role in fluid turbulence. Inspired by methods from field theory, these extreme events, their evolution and probability can be computed with help of the instanton formalism as minimizers of a suitable action…

Fluid Dynamics · Physics 2015-10-28 Tobias Grafke , Rainer Grauer , Stephan Schindel

A fluid-dynamic approach to charm-quark diffusion in the quark-gluon plasma (QGP) is developed for the first time. Results for integrated yields and momentum distributions of charmed hadrons obtained with a fluid-dynamic description for the…

High Energy Physics - Phenomenology · Physics 2024-01-17 Federica Capellino , Andrea Dubla , Stefan Floerchinger , Eduardo Grossi , Andreas Kirchner , Silvia Masciocchi

Using analytic solutions of the Yang-Mills equations we calculate the initial flow of energy of the classical gluon field created in collisions of large nuclei at high energies. We find radial and elliptic flow which follows gradients in…

Nuclear Theory · Physics 2015-06-22 Rainer J. Fries , Guangyao Chen

We present a quantitative study of vorticity formation in peripheral ultrarelativistic heavy ion collisions at sqrt(s)NN = 200 GeV by using the ECHO-QGP numerical code, implementing relativistic dissipative hydrodynamics in the causal…

In this article, we briefly review recent progress on hydrodynamic modeling and its implementations to relativistic heavy-ion collisions at RHIC and the LHC. The related topics include: 1) initial state fluctuations, final state…

Nuclear Theory · Physics 2014-01-03 Huichao Song

Viscous hydrodynamics serves as a successful mesoscopic description of the Quark-Gluon Plasma produced in relativistic heavy-ion collisions. In order to investigate, how such an effective description emerges from the underlying microscopic…

High Energy Physics - Theory · Physics 2023-11-16 Stephan Ochsenfeld , Sören Schlichting

How can we gain a detailed insight into the hydrodynamic response of the system created in heavy ion collisions to the fluctuating initial geometry and viscous effects? Do we create a strongly interacting medium in proton-nucleus and…

Nuclear Experiment · Physics 2021-05-18 Georgios Konstantinos Krintiras