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After briefly touching on relativistic hydrodynamics, we provide a detailed description of recent developments in spin hydrodynamics. We discuss the theory of perfect spin hydrodynamics within two different approaches, which lead to…

High Energy Physics - Phenomenology · Physics 2026-01-22 Samapan Bhadury , Zbigniew Drogosz , Wojciech Florkowski , Valeriya Mykhaylova

Event-by-event hydrodynamics, with fluctuating initial conditions, has shown to nicely reproduce several features of experimentally observed quantities in high-energy nuclear collisions. Here we discuss how it may help to understand, in a…

High Energy Physics - Phenomenology · Physics 2015-03-17 Yogiro Hama , Rone Peterson G. Andrade , Frederique Grassi , Wei-Liang Qian

Analytical solution of one dimensional hydrodynamical model is derived, where phase transition from the QGP state to the hadronic state is effectively taken into account. The single particle rapidity distribution of charged $\pi$ mesons…

High Energy Physics - Phenomenology · Physics 2010-12-14 Naomichi Suzuki

Electrohydrodynamics is a discipline that studies the interaction between fluid motion and electric field. Finite element method, finite difference method and other numerical simulations are effective numerical calculation methods for…

Numerical Analysis · Mathematics 2024-03-22 Li Conghui

Based on the (3+1)-dimensional hydrodynamic model, the space-time evolution of hot and dense nuclear matter produced in non-central relativistic heavy-ion collisions is discussed. The elliptic flow parameter v_2 is obtained by Fourier…

Nuclear Theory · Physics 2007-05-23 Tetsufumi Hirano

The observation of seeming hydrodynamic-like behavior in proton-proton and proton-nucleus collisions presents us with the conceptual problem of how the initial state of such a hydrodynamic evolution should be characterized. This is an issue…

High Energy Physics - Phenomenology · Physics 2025-11-07 Gabriel Rabelo-Soares , Gojko Vujanovic , Giorgio Torrieri

A known class of analytic, exact, accelerating solutions of prefect relativistic hydrodynamics with longitudinal acceleration is utilized to describe results on the pseudorapidity distributions for different collision systems. These results…

Nuclear Theory · Physics 2018-06-19 Jiang Ze-Fang , Yang Chun-Bin , Mate Csanad , Tamas Csorgo

A recently formulated framework of highly-anisotropic and strongly-dissipative hydrodynamics (ADHYDRO) is used to describe the evolution of matter created in ultra-relativistic heavy-ion collisions. New developments of the model contain:…

Nuclear Theory · Physics 2015-05-27 Radoslaw Ryblewski , Wojciech Florkowski

The fluid dynamics community has increasingly adopted machine learning to analyze, model, predict, and control a wide range of flows. These methods offer powerful computational capabilities for regression, compression, and optimization. In…

Fluid Dynamics · Physics 2025-08-26 Kunihiko Taira , Georgios Rigas , Kai Fukami

We simulate the space-time dynamics of high-energy collisions based on a microscopic kinetic description in the conformal relaxation time approximation, in order to determine the range of applicability of an effective description in…

High Energy Physics - Phenomenology · Physics 2023-04-26 Victor E. Ambrus , S. Schlichting , C. Werthmann

The RHIC program was intended to identify and study the quark-gluon plasma formed in the collision of heavy nuclei. The discovery of the "perfect liquid" is an essential step towards the understanding of the medium formed in these…

Nuclear Experiment · Physics 2010-02-25 Peter Steinberg

Some recent developments in exact results in relativistic hydrodynamics is reviewed. We discuss phenomenological applications in high-energy collisions and theoretical features of the solutions. We compare the method of numerical modelling…

High Energy Physics - Phenomenology · Physics 2010-02-11 M. I. Nagy

A status report on the jet quenching physics in heavy-ion collisions is given as it appears after more than 10 years of collecting and analysing data at the Relativistic Heavy Ion Collider (RHIC) and ~1.5 years of physics at the Large…

Nuclear Theory · Physics 2012-11-27 Barbara Betz

Thermodynamics, introduced over two centuries ago, remains foundational to our understanding of physical, chemical, biological, and engineering systems. Its principles are traditionally grounded in the statistical mechanics framework, which…

Chemical Physics · Physics 2025-06-30 Małgorzata J. Zimoń , Fausto Martelli

Relativistic hydrodynamics simulations of quark-gluon plasma play a pivotal role in our understanding of heavy ion collisions at RHIC and LHC. They are based on a phenomenological description due to Mueller, Israel, Stewart (MIS) and…

High Energy Physics - Theory · Physics 2016-08-08 Michal P. Heller , Romuald A. Janik , Michal Spalinski , Przemyslaw Witaszczyk

The fluid dynamics of a relativistic fireball with longitudinal and transverse expansion is described using a background-fluctuation splitting. Symmetry representations of azimuthal rotations and longitudinal boosts are used for a…

Nuclear Theory · Physics 2019-07-24 Stefan Floerchinger , Eduardo Grossi , Jorrit Lion

Hydrodynamics, a term apparently introduced by Daniel Bernoulli (1700-1783) to comprise hydrostatic and hydraulics, has a long history with several theoretical approaches. Here, after a descriptive introduction, we present so-called…

Statistical Mechanics · Physics 2019-05-14 Jose G. Ramos , Cloves G. Rodrigues , Carlos A. B. Silva , Roberto Luzzi

Two-particle correlations in relative rapidity and azimuth are studied for the p-Pb collisions at the LHC energy of 5.02 TeV in the framework of event-by-event 3+1-dimensional viscous hydrodynamics. It is found that for the…

Nuclear Theory · Physics 2013-01-16 Piotr Bozek , Wojciech Broniowski

The field of ultrarelativistic heavy ion collisions is today a flourishing activity both on the experimental and on the theoretical side. Although the theoretical justifications to study these collisions was given already more than three…

Nuclear Experiment · Physics 2014-11-18 G. Paic

A selection of experimental results in high-energy nucleus-nucleus collisions after five years of operation of the Relativistic Heavy-Ion Collider (RHIC) is presented. Emphasis is put on measurements that provide direct information on…

Nuclear Experiment · Physics 2008-11-26 David d'Enterria