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We review recent theoretical and experimental developments in spin dynamics and polarization phenomena in relativistic systems, with a particular focus on heavy-ion collisions. The large angular momentum and magnetic field generated in…

Nuclear Theory · Physics 2026-05-14 Sourav Dey , Arpan Das , Hiranmaya Mishra , Amaresh Jaiswal

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

Recent progress in the formulation of relativistic hydrodynamics for particles with spin one-half is reviewed. We start with general arguments advising introduction of a tensor spin chemical potential that plays a role of the Lagrange…

Nuclear Theory · Physics 2019-09-09 Wojciech Florkowski , Radoslaw Ryblewski , Avdhesh Kumar

We briefly review the foundations of a new relativistic fluid dynamics framework for polarized systems of particles with spin one half. Using this approach we numerically study the dynamics of the spin polarization of a rotating medium…

In this work, we briefly review the progress made in the formulation of hydrodynamics with spin with emphasis on the application to the relativistic heavy-ion collisions. In particular, we discuss the formulation of hydrodynamics with spin…

High Energy Physics - Phenomenology · Physics 2021-04-29 Samapan Bhadury , Jitesh Bhatt , Amaresh Jaiswal , Avdhesh Kumar

The strongly interacting system created in ultrarelativistic nuclear collisions behaves almost as an ideal fluid with rich patterns of the velocity field exhibiting strong vortical structure. Vorticity of the fluid, via spin-orbit coupling,…

Nuclear Experiment · Physics 2024-10-30 Takafumi Niida , Sergei A. Voloshin

Polarization has opened a new physics chapter in relativistic heavy-ion collisions. Since the first prediction and experimental observation of global spin polarization, a lot of progress has been made in understanding its features, both at…

Nuclear Theory · Physics 2024-02-08 Francesco Becattini , Matteo Buzzegoli , Takafumi Niida , Shi Pu , Ai-Hong Tang , Qun Wang

We study the longitudinal spin polarization of a relativistic fluid of massive spin-1/2 particles undergoing a boost-invariant expansion in the longitudinal direction and rotating in the transverse plane. We express the polarization vector…

Nuclear Theory · Physics 2025-03-18 Nora Weickgenannt , Jean-Paul Blaizot

A newly proposed framework of perfect-fluid relativistic hydrodynamics for particles with spin 1/2 is briefly reviewed. The hydrodynamic equations follow entirely from the conservation laws for energy, momentum, and angular momentum. The…

Nuclear Theory · Physics 2019-02-20 W. Florkowski , B. Friman , A. Jaiswal , R. Ryblewski , E. Speranza

In this article we review the perfect-fluid hydrodynamics with spin framework proposed recently. This framework generalises the standard relativistic hydrodynamics framework to include spin degrees of freedom and provides a natural method…

Nuclear Theory · Physics 2022-09-21 Rajeev Singh

We summarize the key ingredients of the recently proposed formalism of relativistic perfect-fluid hydrodynamics with spin. Based on the underlying kinetic theory definitions for the equilibrium distribution functions we obtain the evolution…

Nuclear Theory · Physics 2020-08-26 Radoslaw Ryblewski , Rajeev Singh

We review basic ingredients of the recently introduced perfect-fluid hydrodynamic equations for particles with spin one-half. For a quasi-realistic setup, first numerical solutions for various hydrodynamic variables including the spin…

Heavy ion collisions generate strong fluid vorticty in the produced hot quark-gluon matter which could in turn induce measurable spin polarization of hadrons. We review recent progress on the vorticity formation and spin polarization in…

Nuclear Theory · Physics 2022-09-20 Xu-Guang Huang , Jinfeng Liao , Qun Wang , Xiao-Liang Xia

We develop a quantum spin-density-matrix framework for heavy-quark spin dynamics in relativistic heavy-ion collisions. Starting from an initial polarization induced along the magnetic-field direction, we derive the evolution equation for…

High Energy Physics - Phenomenology · Physics 2026-05-08 Sunil Jaiswal , Sourav Dey , Amaresh Jaiswal

Using the conservation laws for charge, energy, momentum, and angular momentum, we derive hydrodynamic equations for the charge density, local temperature, and fluid velocity, as well as for the spin tensor, starting from local equilibrium…

Nuclear Theory · Physics 2018-04-18 Wojciech Florkowski , Bengt Friman , Amaresh Jaiswal , Enrico Speranza

In these proceedings I discuss the recent progress in the theory of spin polarization in relativistic fluids. To date, a number of studies have begun to examine the impact of the shear tensor on the local spin polarization and whether this…

Nuclear Theory · Physics 2023-03-22 Matteo Buzzegoli

The equations of perfect spin hydrodynamics are solved for the first time using a realistic (3+1)-dimensional hydrodynamic background, calibrated to reproduce a comprehensive set of hadronic observables, including rapidity distributions,…

High Energy Physics - Phenomenology · Physics 2025-02-19 Sushant K. Singh , Radoslaw Ryblewski , Wojciech Florkowski

We perform a systematic study of the spin polarization of hyperons in heavy-ion collisions using the MUSIC hydrodynamic model with A Multi-Phase Transport (AMPT) pre-equilibrium dynamics. Our model calculations nicely describe the measured…

Nuclear Theory · Physics 2021-02-10 Baochi Fu , Kai Xu , Xu-Guang Huang , Huichao Song

Fermions become polarized in a vortical fluid due to spin-vorticity coupling. The spin polarization density is proportional to the local fluid vorticity at the next-to-leading order of a gradient expansion in a quantum kinetic theory. Spin…

High Energy Physics - Phenomenology · Physics 2016-11-09 Long-Gang Pang , Hannah Petersen , Qun Wang , Xin-Nian Wang

We investigate spin polarization dynamics in relativistic heavy-ion collisions using ideal relativistic spin hydrodynamics, employing non-boost-invariant longitudinal solutions as the hydrodynamic background. Operating in the…

Nuclear Theory · Physics 2026-05-12 Matteo Buzzegoli , Aleksandar Gecic , Rajeev Singh
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