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We present a framework for spin dynamics in the quark-gluon plasma created in relativistic heavy-ion collisions. Under the approximation of small polarization, macroscopic spin degrees of freedom decouple from the background, and their…

High Energy Physics - Phenomenology · Physics 2025-11-13 Sapna , Sushant K. Singh , David Wagner

General features of the formalism describing hydrodynamic evolution of transversally thermalized matter possibly produced at the very early stages of ultra-relativistic heavy-ion collisions are presented. Thermodynamical consistency of the…

Nuclear Theory · Physics 2009-10-02 Radoslaw Ryblewski

We consider relativistic charged particle dynamics and relativistic magnetohydrodynamics using symplectic structures and actions given in terms of co-adjoint orbits of the Poincar\'e group. The particle case is meant to clarify some points…

High Energy Physics - Theory · Physics 2014-11-19 Dimitra Karabali , V. P. Nair

We review recent progress in applying relativistic hydrodynamics to the modeling of heavy-ion collisions at RHIC and LHC, with emphasis on anisotropic flow and flow fluctuations.

Nuclear Theory · Physics 2013-05-15 Jean-Yves Ollitrault , Fernando G. Gardim

With the help of a semi-classical kinetic theory, a new collision kernel is proposed, which simultaneously conserves the energy-momentum tensor and the spin tensor of a relativistic fluid of spin-1/2 particles irrespective of the frame and…

High Energy Physics - Phenomenology · Physics 2025-03-12 Samapan Bhadury

We build upon the recently formulated guiding-center kinetic theory for guiding-center plasma by incorporating spin degrees of freedom in the presence of electromagnetic fields. This approach yields a streamlined set of equations for…

Nuclear Theory · Physics 2025-11-21 Rajeev Singh

The "unreasonable effectiveness" of relativistic fluid dynamics in describing high energy heavy-ion and even proton-proton collisions are demonstrated and discussed. Several recent ideas of optimizing relativistic fluid dynamics for the…

Nuclear Theory · Physics 2019-10-02 Ulrich W. Heinz , J. Scott Moreland

We review several facets of the hydrodynamic description of the relativistic heavy ion collisions, starting from the historical motivation to the present understandings of the observed collective aspects of experimental data, especially…

Nuclear Theory · Physics 2015-12-04 Rafael Derradi de Souza , Tomoi Koide , Takeshi Kodama

The polarization of the $\Lambda$ particle offers the unique opportunity to study the hydrodynamic gradients in the Quark-Gluon Plasma formed in heavy-ion collisions. However, the theoretical formula commonly used to calculate polarization…

Nuclear Theory · Physics 2023-12-12 Andrea Palermo

Starting from kinetic theory description of massive spin-1/2 particles in presence of magnetic field, equations for relativistic dissipative non-resistive magnetohydrodynamics are obtained in the small polarization limit. We use a…

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

The matter created in relativistic heavy ion collisions is fairly well described by ideal hydrodynamics, and somewhat better described by viscous hydrodynamics. To this point, most viscous calculations have been two-dimensional, based on an…

Nuclear Theory · Physics 2015-06-04 Joshua Vredevoogd , Scott Pratt

Different bases for the spin-1 density matrix are discussed to clarify the connection between its components and observables measured in heavy-ion collisions. The theoretical advantage of using the adjoint representation for spin matrices…

Nuclear Theory · Physics 2026-02-03 Wojciech Florkowski , Sudip Kumar Kar , Valeriya Mykhaylova

The hydrodynamic model for the expansion of the fireball in relativistic heavy-ion collisions is presented. Calculations using relativistic hydrodynamics of a fluid with small viscosity yield a satisfactory description of the experimental…

Nuclear Theory · Physics 2012-06-18 Piotr Bozek

We briefly review a recently proposed formalism of perfect-fluid hydrodynamics with spin, which is a generalization of the standard hydrodynamic framework and provides a natural tool for describing the evolution of spin-polarized systems of…

High Energy Physics - Phenomenology · Physics 2020-11-05 Rajeev Singh

We compute the radius of convergence of the linearized relativistic hydrodynamic expansion around a non-trivially rotating strongly coupled N=4 Super-Yang-Mills plasma. Our results show that the validity of hydrodynamics is sustained and…

High Energy Physics - Theory · Physics 2021-12-22 Casey Cartwright , Markus Garbiso Amano , Matthias Kaminski , Jorge Noronha , Enrico Speranza

We study local spin polarization in the relativistic hydrodynamic model. Generalizing the Wigner functions previously obtained from chiral kinetic theory by Y. Hidaka et al. [Phys. Rev. D 97, 016004 (2018)] to the massive case, we present…

High Energy Physics - Phenomenology · Physics 2021-12-28 Cong Yi , Shi Pu , Di-Lun Yang

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

Recent years have seen much development in analyzing the structure of relativistic hydrodynamics. In this proceeding, some of the developments are highlighted including issues related to pseudo-gauge transformations and spin hydrodynamics.

Nuclear Theory · Physics 2023-10-18 Sangyong Jeon

A new class of simple and exact solutions of relativistic hydrodynamics is presented, and the consequences are explored in data analysis. The effects of longitudinal work and acceleration are taken into account in an advanced estimate of…

Nuclear Theory · Physics 2008-11-26 T. Csorgo , M. I. Nagy , M. Csanad