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We derive a fluid theory for spin-1/2 particles starting from an extended kinetic model based on a spin-projected density matrix formalism. The evolution equation for the spin density is found to contain a pressure-like term. We give an…

Plasma Physics · Physics 2010-11-02 Jens Zamanian , Martin Stefan , Mattias Marklund , Gert Brodin

It is usually believed that physics in off-equilibrium state characterized by hydrodynamic gradient can be equivalently studied using equilibrium state with suitable metric perturbation. We scrutinize this assumption using chiral kinetic…

High Energy Physics - Phenomenology · Physics 2024-10-31 Shu Lin , Jiayuan Tian

The dynamics of pseudo-classical spinning particles in spacetime of gravitational plane waves of general polarization and harmonic profile is studied. The resulting equations of motion are solved exactly and the results are compared with…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Morteza Mohseni

We derive equations of motion for dissipative spin hydrodynamics from kinetic theory up to first order in a gradient expansion. Choosing a specific form of the matching conditions, relating the change in the spin potential to the spin…

Nuclear Theory · Physics 2023-09-25 Nora Weickgenannt

We formulate a relativistic hydrodynamic theory for fluids with spin and intrinsic dilation charges. Using an entropy-current analysis, we derive constitutive relations featuring a bulk viscosity and a dilation conductivity governing the…

High Energy Physics - Theory · Physics 2026-03-19 Zhong-Hua Zhang , Xi-Hu Lv , Xu-Guang Huang

Resonant behavior involving spin-orbit entangled states occurs for spin transport along a narrow channel defined in a two-dimensional electron gas, including an apparent rapid relaxation of the spin polarization for special values of the…

Mesoscale and Nanoscale Physics · Physics 2014-04-02 D. H. Berman , M. Khodas , M. E. Flatté

We explore various aspects of semi-classical spin hydrodynamics, where hydrodynamic currents are derived from an expansion in the reduced Planck constant $\hbar$, incorporating both flat and curved spacetimes. After establishing covariant…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Annamaria Chiarini , Julia Sammet , Masoud Shokri

We present a new solution of relativistic hydrodynamics in 1+3 dimensions which depends on both the transverse coordinate and rapidity. At early times the flow expands dominantly longitudinally in a non-boost-invariant manner, and at late…

High Energy Physics - Phenomenology · Physics 2016-02-03 Yoshitaka Hatta , Bo-Wen Xiao , Di-Lun Yang

We formulate Carroll hydrodynamics with the inclusion of a spin current. Our strategy relies on the fact that the $c\to 0$ limit of relativistic hydrodynamics yields the equations of Carroll hydrodynamics. Starting with the pre-ultralocal…

High Energy Physics - Theory · Physics 2026-05-06 Ashish Shukla , Rajeev Singh , Pushkar Soni

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 spin transport equations for polarized deuterium-tritium (DT) fusion plasma are derived with the density matrix formulation, which are used to investigate the hydrodynamics of polarized DT-gas-filled targets during indirectly driven…

Plasma Physics · Physics 2025-02-14 Ronghao Hu , Hao Zhou , Zhihao Tao , Zhihao Zhang , Meng Lv , Shiyang Zou , Yongkun Ding

We investigate the dynamics of spin-nonequilibrium electron systems for the case when normal electron collisions prevail over the other scattering processes and the "hydrodynamic flow" regime is realized. The hydrodynamic equations for the…

Mesoscale and Nanoscale Physics · Physics 2011-09-12 R. N. Gurzhi , A. N. Kalinenko , A. I. Kopeliovich , P. V. Pyshkin , A. V. Yanovsky

We consider spin-vorticity coupling - the generation of spin polarization by vorticity - in viscous two-dimensional electron systems with spin-orbit coupling. We first derive hydrodynamic equations for spin and momentum densities in which…

Mesoscale and Nanoscale Physics · Physics 2019-02-18 Ruben J. Doornenbal , Marco Polini , R. A. Duine

Smoothed Particle Hydrodynamics is reformulated in terms of the convolution of the original hydrodynamics equations, and the new evolution equations for the particles are derived. The same evolution equation of motion is also derived using…

Astrophysics · Physics 2009-11-07 Shu-ichiro Inutsuka

Using the phase-space formulation of quantum mechanics, we derive a four-component Wigner equation for a system composed of spin-1/2 fermions (typically, electrons) including the Zeeman effect and the spin-orbit coupling. This Wigner…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Jerome Hurst , Paul-Antoine Hervieux , Giovanni Manfredi

We present a new formulation of non-dissipative relativistic spin hydrodynamics that incorporates spin degrees of freedom into the divergence-type theory framework. Due to the divergence-type structure, it is straightforward to enforce…

Nuclear Theory · Physics 2025-11-26 Nick Abboud , Lorenzo Gavassino , Rajeev Singh , Enrico Speranza

We introduce equations of motion for spin dynamics in a ferromagnetic Bose-Einstein condensate with magnetic dipole-dipole interaction, written using a vector expressing the superfluid velocity and a complex scalar describing the…

Quantum Gases · Physics 2011-06-01 Kazue Kudo , Yuki Kawaguchi

Using an interpolant form for the gradient of a function of position, we write an integral version of the conservation equations for a fluid. In the appropriate limit, these become the usual conservation laws of mass, momentum and energy.…

Condensed Matter · Physics 2009-10-30 Victor Romero-Rochin , J. Miguel Rubi

Many sets of polarization evolution equations have been suggested to describe the method of polarization buildup by spin filtering in storage rings. In this paper a generic system of polarization evolution equations describing spin…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. S. O'Brien

In relativistic hydrodynamics with spin, following de Groot--van Leeuwen--van Weert's energy-momentum and spin tensor definitions, we analyze the propagation of spin degrees of freedom. We deduce an analytical formula for spin wave…

High Energy Physics - Phenomenology · Physics 2025-02-18 Rajeev Singh , Victor E. Ambrus , Radoslaw Ryblewski
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