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The objective of this work is to revisit fundamental aspects of relativistic hydrodynamics, aiming at the construction of a first course in relativistic hydrodynamics and its applications to astrophysics at the level of end of undergraduate…

General Relativity and Quantum Cosmology · Physics 2022-10-17 R. F. Santos , A. C. Amaro Faria , L. G. Almeida

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

The main ideas, technical concepts and perspectives for a mode resolved description of the hydrodynamical regime of relativistic heavy ion collisions are discussed. A background-fluctuation splitting and a Bessel-Fourier expansion for the…

Nuclear Theory · Physics 2014-08-28 Stefan Floerchinger

Motivated by forthcoming experiments at RHIC and LHC, and results from SPS, a review is given of the present state of event-by-event fluctuations in ultrarelativistic heavy-ion collisions. Fluctuations in particle multiplicities, ratios,…

Nuclear Theory · Physics 2008-11-26 H. Heiselberg

The connection between initial-state geometry and anisotropic flow can be quantified through a well-established mapping between $p_T$-integrated flow harmonics and cumulants of the initial transverse energy distribution. In this paper we…

We simulate the space-time dynamics of high-energy collisions based on a microscopic kinetic description, in order to determine the range of applicability of an effective description in relativistic viscous hydrodynamics. We find that…

High Energy Physics - Phenomenology · Physics 2024-02-12 Clemens Werthmann , Victor E. Ambruş , Sören Schlichting

Flow develops in ultra-relativistic heavy-ion collisions via re-interactions among partons or/and hadrons. Characterizing flow is a crucial step towards understanding the formation of partonic matter. We review new measurements on…

Nuclear Experiment · Physics 2009-11-10 Fabrice Retiere

Relativistic hydrodynamics represents a powerful tool to investigate the time evolution of the strongly interacting quark gluon plasma created in ultrarelativistic heavy ion collisions. The equations are solved often numerically, and…

High Energy Physics - Phenomenology · Physics 2020-05-22 Mate Csanad , Marton I. Nagy , Ze-Fang Jiang , Tamas Csorgo

It is argued that the observation of anisotropic azimuthal distribution of final state particles alone is insufficient to show whether the formed matter at RHIC behaves like hydrodynamic flow. Examining the intrinsic interaction (or…

Nuclear Theory · Physics 2008-04-21 Wang Meijuan , Liu Lianshou , Wu Yuanfang

In this article, we briefly review the recent progress on collective flow and hydrodynamics in large and small systems at the Large Hadron Collider (LHC), which includes the following topics: extracting the QGP viscosity from the flow data,…

Nuclear Theory · Physics 2017-03-03 Huichao Song , You Zhou , Katarina Gajdosova

We present a systematic investigation of the transverse-momentum differential radial flow fluctuations observable $v_0(p_T)$ in relativistic heavy-ion collisions at top RHIC ($\sqrt{s_\mathrm{NN}}{\,=\,}200$ GeV) and LHC…

Nuclear Experiment · Physics 2026-01-09 Lipei Du

The early thermalization and HBT puzzles in relativistic heavy-ion collisions studied at RHIC are shortly reviewed. The results of recent hydrodynamic calculations that shed light on these two intriguing issues are presented. In particular,…

Nuclear Theory · Physics 2011-01-04 Wojciech Florkowski

A new set of equations for relativistic viscous hydrodynamics that captures both weak-coupling and strong-coupling physics to second order in gradients has been developed recently. We apply this framework to bulk physics at RHIC, both for…

Nuclear Theory · Physics 2014-11-18 Matthew Luzum , Paul Romatschke

This note provides a comprehensive examination of the various approaches to formulating relativistic hydrodynamics, with a particular emphasis on the canonical approach. Relativistic hydrodynamics plays a crucial role in understanding the…

High Energy Physics - Theory · Physics 2025-02-11 Luca Martinoia , Rajeev Singh

The theoretical developments in the study of electromagnetic radiation in relativistic heavy-ion collisions are reviewed. The recent progress in the rates for photon and lepton pair production is discussed. Together with the improvements in…

Nuclear Theory · Physics 2015-11-25 Chun Shen

This article reviews recent advances in our understanding of the experimental aspects of jet-quenching and correlations in relativistic heavy-ion collisions at RHIC and LHC. Emphasis is put on correlation measurements, namely jet-like…

Nuclear Experiment · Physics 2023-07-19 Fuqiang Wang

State-of-the-art hydrodynamic models of heavy-ion collisions have considerable theoretical model uncertainties in the description of the very early pre-hydrodynamic stage. We add a new computational module, K$_\mathrm{T}$Iso, that describes…

Nuclear Theory · Physics 2022-07-13 Dananjaya Liyanage , Derek Everett , Chandrodoy Chattopadhyay , Ulrich Heinz

A relativistic 3-fluid 3D hydrodynamic model has been developed for describing heavy-ion collisions at incident energies between few and $\sim$ 200 A$\cdot$GeV. In addition to two baryon-rich fluids which simulate mutually decelerating…

Nuclear Theory · Physics 2007-05-23 V. D. Toneev , Yu. B. Ivanov , E. G. Nikonov , W. Noerenberg , V. N. Russkikh

I compare the first viscous hydrodynamic prediction for integrated elliptic flow in Pb-Pb collisions at the LHC with the first data released by the ALICE collaboration. These new data are found to be consistent with hydrodynamic…

Nuclear Theory · Physics 2011-04-22 Matthew Luzum