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In this paper we review, and extend to the non-isothermal case, some results concerning the application of the maximum entropy closure technique to the derivation of hydrodynamic equations for particles with spin-orbit interaction and…

Mathematical Physics · Physics 2016-04-29 Luigi Barletti

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

Relativistic hydrodynamics has been quite successful in describing the properties of strongly-interacting matter produced in heavy-ion collision experiments. Recently, there has been a significant advancement in this field to explain the…

High Energy Physics - Phenomenology · Physics 2023-10-03 Rajeev Singh

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

We revisit the canonical formulation of spin hydrodynamics for Dirac fermions with a general thermal vorticity. The orders of the general thermal vorticity and the corresponding spin variables are considered independently from those of the…

Nuclear Theory · Physics 2024-10-11 Lixin Yang , Li Yan

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

Starting from the non-relativistic Pauli description of spin-1/2 particles, a set of fluid equations, governing the dynamics of such particles interacting with external fields and other particles, is derived. The equations describe…

Plasma Physics · Physics 2008-11-26 G. Brodin , M. Marklund

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

Spin polarization and spin transport are common phenomena in many quantum systems. Relativistic spin hydrodynamics provides an effective low-energy framework to describe these processes in quantum many-body systems. The fundamental symmetry…

Nuclear Theory · Physics 2025-08-26 Xu-Guang Huang

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

We construct the hydrodynamic theory for spin 1/2 Bose gases at arbitrary temperatures. This theory describes the coupling between the magnetization, and the normal and superfluid components of the gas. In particular, our theory contains…

Quantum Gases · Physics 2013-06-28 J. Armaitis , H. T. C. Stoof , R. A. Duine

The field of spin hydrodynamics aims to describe magnetization dynamics from a fluid perspective. For ferromagnetic materials, there is an exact mapping between the Landau-Lifshitz equation and a set of dispersive hydrodynamic equations.…

Mesoscale and Nanoscale Physics · Physics 2019-09-13 Ezio Iacocca , Mark A. Hoefer

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

Electron hydrodynamics is currently known to emerge only when electron-electron interaction dominates over the momentum-nonconserving scatterings of electrons, where the electron transport is described by a hydrodynamic equation. Here we…

Mesoscale and Nanoscale Physics · Physics 2023-05-25 Junji Fujimoto , Wataru Koshibae , Sadamichi Maekawa

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

We study hydrodynamic thermal transport in high-mobility two-dimensional electron systems placed in an in-plane magnetic field, and identify a new mechanism of thermal magnetotransport. This mechanism is caused by drag between the electron…

Mesoscale and Nanoscale Physics · Physics 2024-12-17 Alex Levchenko , A. V. Andreev

We derive a formulation of relativistic spin hydrodynamics with totally antisymmetric spin tensors that satisfy the Frenkel-Mathisson-Pirani condition. In our proposed spin hydrodynamics, the second law of thermodynamics is fulfilled by the…

Nuclear Theory · Physics 2025-06-27 Shuo Fang , Kenji Fukushima , Shi Pu , Dong-Lin Wang

The hydrodynamic model including the spin degree of freedom and the electromagnetic field was discussed. In this derivation, we applied electromagnetism for macroscopic medium proposed by Minkowski. For the equation of motion of spin, we…

Fluid Dynamics · Physics 2014-06-06 T. Koide

Discovery of electron hydrodynamics in graphene system has opened a new scope of analytic calculations in condensed matter physics, which was traditionally well cultivated in science and engineering as a non-relativistic hydrodynamics and…

Strongly Correlated Electrons · Physics 2026-01-14 Thandar Zaw Win , Cho Win Aung , Gaurav Khandal , Sabyasachi Ghosh

Graphene hosts an ultra-clean electronic system with electron-electron collisions being the dominant source of scattering above liquid nitrogen temperatures. In this regime, the motion of the electron fluid resembles the flow of classical…

Mesoscale and Nanoscale Physics · Physics 2020-05-05 Mamoru Matsuo , Denis A. Bandurin , Yuichi Ohnuma , Yasumasa Tsutsumi , Sadamichi Maekawa
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