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We present a quantum kinetic theory for spin-$1/2$ particles, including the spin-orbit interaction, retaining particle dispersive effects to all orders in $\hbar$, based on a gauge-invariant Wigner transformation. Compared to previous…

Plasma Physics · Physics 2023-02-23 Robin Ekman , Haidar Al-Naseri , Jens Zamanian , Gert Brodin

Exact wave functions are is derived from an azimuthally periodic a self-consistent quantum Hamiltonian in 2+1 dimensions using both the Klein-Gordon and the Schroedinger equations. It isWe shown that, curiously, for both relativistic and…

solv-int · Physics 2024-05-14 Troy Shinbrot

A mechanism of the self-organization in an unbounded two-dimensional (2D) point vortex system is discussed. A kinetic equation for the system with positive and negative vortices is derived using the Klimontovich formalism. Similar to the…

Statistical Mechanics · Physics 2017-05-15 Yuichi Yatsuyanagi , Tadatsugu Hatori

We study the spatially homogeneous phases of polar active particles in the low density limit, and specifically the transition from the isotropic phase to collective polar motion. We show that the fundamental quantity of interest for the…

Soft Condensed Matter · Physics 2015-11-04 Khanh-Dang Nguyen Thu Lam , Michael Schindler , Olivier Dauchot

Nonrelativistic formalism is developed, which allows describing systems with internal degrees of freedom in the scalar potential field $U$, which is a function both on relative coordinates and time, and on relative speed and accelerations.…

Classical Physics · Physics 2012-10-25 A. N. Tarakanov

In this paper we investigate the nonlocal correlation (beyond entanglement) captured by measurement induced nonlocality and geometric quantum discord for a pair of interacting spin-1/2 particles at thermal equilibrium. It is shown that both…

Quantum Physics · Physics 2017-10-11 R. Muthuganesan , R. Sankaranarayanan

This paper a kinetic Boltzmann equation having a general type of collision kernel and modelling spin-dependent Fermi gases at low temperatures modelled by a kinetic equation of Boltzmann type. The distribution functions have values in the…

Quantum Gases · Physics 2013-06-18 L. Arkeryd

We establish covariant semiclassical transport equations of massive spin-1/2 particles which are generated by the quantum kinetic equation modified by enthalpy current dependent terms. The purpose of modification is to take into account the…

High Energy Physics - Theory · Physics 2020-08-26 O. F. Dayi , E. Kilincarslan

Systems composed of strongly interacting self-propelled particles can form a spontaneously flowing polar active fluid. The study of the connection between the microscopic dynamics of a single such particle and the macroscopic dynamics of…

Soft Condensed Matter · Physics 2018-03-02 Benjamin Loewe , Anton Souslov , Paul M. Goldbart

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

The Proca-Corben-Schwinger equations for a spin-1 particle with an anomalous magnetic moment are added by a term describing an electric dipole moment, then they are reduced to a Hamiltonian form, and finally they are brought to the…

High Energy Physics - Phenomenology · Physics 2013-04-26 Alexander J. Silenko

The altermagnet exhibits the nonrelativistic spin splitting that enables all-electrical generation of spin-polarized currents beyond the spin-orbit coupling. Here, we report on a study on the anisotropic spin-polarized conductivity in…

Materials Science · Physics 2025-06-25 Mingbo Dou , Xianjie Wang , L. L. Tao

The balance equations for thermodynamic quantities are derived from the nonlocal quantum kinetic equation. The nonlocal collisions lead to molecular contributions to the observables and currents. The corresponding correlated part of the…

Statistical Mechanics · Physics 2018-06-19 Klaus Morawetz

We study the dynamics of a non-degenerate, harmonically trapped Fermi gas following a sudden ramp of the spin-orbit coupling strength. In the non-interacting limit, we solve the Boltzmann equation in the presence of spin orbit coupling…

Quantum Gases · Physics 2013-09-27 Stefan S. Natu , S. Das Sarma

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

We derive the equations of motion of relativistic magnetohydrodynamics from the Boltzmann equation using the method of moments. We consider a locally electrically neutral system composed of two particle species with opposite charges, with…

High Energy Astrophysical Phenomena · Physics 2026-02-25 Khwahish Kushwah , Gabriel Silveria Denicol

Starting from the Pauli current we obtain the decomposition of the non-relativistic local velocity in two parts: one parallel and the other orthogonal to the momentum. The former is recognized to be the ``classical'' part, that is the…

Quantum Physics · Physics 2015-05-13 G. Salesi

We derive the quantum kinetic theory for massive fermions with collision terms and self-energy corrections based on quantum field theory. We adopt an effective power counting scheme with $\hbar$ expansion to obtain the leading-order…

High Energy Physics - Phenomenology · Physics 2024-03-28 Shuo Fang , Shi Pu , Di-Lun Yang

The concept of a common local spin equilibrium for both spin-1/2 and spin-1 particles is incorporated into a thermal model of particle production in heavy-ion collisions at the top RHIC energies. We show that an effective spin polarization…

High Energy Physics - Phenomenology · Physics 2026-02-20 Soham Banerjee , Samapan Bhadury , Wojciech Florkowski , Amaresh Jaiswal , Radoslaw Ryblewski

We show that, in ideal-spin hydrodynamics, the components of the spin tensor follow damped wave equations. The damping rate is related to nonlocal collisions of the particles in the fluid, which enter at first order in $\hbar$ in a…

Nuclear Theory · Physics 2025-02-10 David Wagner , Masoud Shokri , Dirk H. Rischke
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