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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

The relativistic kinetic equations for the two domains separated by the hypersurface with both space- and time-like parts are derived. The particle exchange between the domains separated by the time-like boundaries generates source terms…

Nuclear Theory · Physics 2009-11-07 K. A. Bugaev

We present a concise review of the recent development of relativistic hydrodynamics and its applications to heavy-ion collisions. Theoretical progress on the extended formulation of hydrodynamics towards out-of-equilibrium systems is…

Nuclear Theory · Physics 2020-10-26 Chun Shen , Li Yan

In relativistic heavy-ion collisions, the system has gone through a series of evolution, almost at every stage of its evolution it leaves behind footprints in flow observable. Those footprints contain valuable information of the bulk…

Nuclear Experiment · Physics 2009-11-18 Aihong Tang

Recent developments based on relativistic hydrodynamic models in high energy heavy ion collisions are discussed. I focus especially on how hydrodynamics works at RHIC energies and how one can use the most of it in analyses of jet quenching…

Nuclear Theory · Physics 2010-11-30 Tetsufumi Hirano

A new class of analytic, exact, rotating, self-similar and surprisingly simple solutions of non-relativistic hydrodynamics are presented for a three-dimensionally expanding, spheroidally symmetric fireball. These results generalize earlier,…

Nuclear Theory · Physics 2014-04-23 T. Csörgő , M. I. Nagy

Relativistic and non-relativistic fluid equations can exhibit finite time singular solutions including density singularities appearing in collapse or compression systems and gradient singularities in shock waves. However, only the…

Astrophysics · Physics 2007-05-23 M. J. Gagen

The relativistic continuity equations for the extensive thermodynamic quantities are derived based on the divergence theorem in Minkowski space outlined by St\"uckelberg. This covariant approach leads to a relativistic formulation of the…

Statistical Mechanics · Physics 2022-10-11 Sylvain D. Brechet , Marin C. A. Girard

We parametrize the transverse momentum distribution of outgoing hadrons in ultrarelativistic nucleus-nucleus collisions as a superposition of boosted thermal distributions. In this approach, which generalizes the conventional blast wave,…

Nuclear Theory · Physics 2021-07-07 Anthony Guillen , Jean-Yves Ollitrault

We present algorithms to solve relativistic hydrodynamics in 3+1--dimensional situations without apparent symmetry to simplify the solution. In simulations of heavy--ion collisions, these numerical schemes have to deal with the physical…

Nuclear Theory · Physics 2009-10-28 Dirk H. Rischke , Stefan Bernard , Joachim A. Maruhn

The problem of early thermalization of matter produced in relativistic heavy-ion collisions at RHIC is discussed in the framework of a hybrid model that consists of the transverse-hydrodynamics stage followed by the standard perfect-fluid…

Nuclear Theory · Physics 2011-02-16 Radoslaw Ryblewski

Fluid dynamic approach is a workhorse for modelling collective dynamics in relativistic heavy-ion collisions. The approach has been successful in describing various features of the momentum distributions of hadrons produced in the heavy-ion…

Nuclear Theory · Physics 2021-08-04 Iurii Karpenko

Relativistic hydrodynamics has been extensively applied to high energy heavy-ion collisions. We review hydrodynamic calculations for Au+Au collisions at RHIC energies and provide a comprehensive comparison between the model and experimental…

Nuclear Theory · Physics 2007-05-23 Peter F. Kolb , Ulrich Heinz

Recent theoretical developments of relativistic hydrodynamics applied to ultrarelativistic heavy-ion collisions are briefly reviewed. In particular, the concept of a formal gradient expansion is discussed, which is a tool to compare…

Nuclear Theory · Physics 2017-12-15 Wojciech Florkowski

We propose a general approach to freezing out fluctuations in heavy-ion collisions using the principle of maximum entropy. We find the results naturally expressed as a direct relationship between the irreducible relative correlators…

High Energy Physics - Phenomenology · Physics 2023-05-17 Maneesha Sushama Pradeep , Mikhail Stephanov

We show that for a range of strongly coupled theories with a first order phase transition, the domain wall or bubble velocity can be expressed in a simple way in terms of a perfect fluid hydrodynamic formula, and thus in terms of the…

High Energy Physics - Theory · Physics 2022-08-31 Romuald A. Janik , Matti Jarvinen , Hesam Soltanpanahi , Jacob Sonnenschein

A key ingredient of hydrodynamical modeling of relativistic heavy ion collisions is thermal initial conditions, an input that is the consequence of a pre-thermal dynamics which is not completely understood yet. In the paper we employ a…

Nuclear Theory · Physics 2015-01-22 V. Yu. Naboka , S. V. Akkelin , Iu. A. Karpenko , Yu. M. Sinyukov

Most hydrodynamical calculations used in heavy-ion physics ignore the effect of freeze-out matter carrying energy and momentum away from the expanding fluid. In a simple one-dimensional model we compare calculated energy density and…

Nuclear Theory · Physics 2022-02-23 John J. Neumann , Boris Lavrenchuk , George Fai

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

We use ideal hydrodynamics to investigate clustering in a gas of inelastically colliding spheres. The hydrodynamic equations exhibit a new type of finite-time density blowup, where the gas pressure remains finite. The density blowups signal…

Soft Condensed Matter · Physics 2009-11-11 Itzhak Fouxon , Baruch Meerson , Michael Assaf , Eli Livne