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A suitable expression for hydrodynamic impulse in a compressible fluid is deduced. The development of appropriate impulse formulation for compressible Euler equations confirms the propriety of the hydrodynamic impulse expression for a…

Fluid Dynamics · Physics 2015-05-14 Bhimsen K. Shivamoggi

Spinorial or multi-component Bose-Einstein condensates may sustain fractional quanta of circulation, vorticant topological excitations with half integer windings of phase and polarization. Matter-light quantum fluids, such as microcavity…

In this work, we derive the equations of motion governing the hydrodynamics of spin-F spinor condensates. We pursue a description based on standard physical variables (total density and superfluid velocity), alongside 2F `spin-nodes': unit…

Other Condensed Matter · Physics 2012-02-23 Ryan Barnett , Daniel Podolsky , Gil Refael

A formalism for anisotropic fluid dynamics is proposed. It is designed to describe boost-invariant systems with anisotropic pressure. Such systems are expected to be produced at the early stages of relativistic heavy-ion collisions, when…

Nuclear Theory · Physics 2008-11-26 Wojciech Florkowski

Convergence of a system of particles, interacting with a fluid, to Navier-Stokes-Vlasov-Fokker-Planck system is studied. The interaction between particles and fluid is described by Stokes drag force. The empirical measure of particles is…

Probability · Mathematics 2018-11-21 Franco Flandoli , Marta Leocata , Cristiano Ricci

We develop a many-particle quantum-hydrodynamical model of fermion matter interacting with the external classical electromagnetic and gravitational/inertial and torsion fields. The consistent hydrodynamical formulation is constructed for…

High Energy Physics - Theory · Physics 2021-12-17 Mariya Iv. Trukhanova , Yuri N. Obukhov

We discuss the dynamics of a spin coupled to a damped harmonic oscillator. This system can be mapped to a spin-boson model with a structured bath, i.e. the spectral function of the bath has a resonance peak. We diagonalize the model by…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Silvia Kleff , Stefan Kehrein , Jan von Delft

Successful realization of spin-orbit coupling in atomic gases by the NIST scheme opens the prospect of studying the effects of spin-orbit coupling on many-body physics in an unprecedentedly controllable way. Here we derive the linearized…

Quantum Gases · Physics 2016-01-20 Yan-Hua Hou , Zhenhua Yu

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

A general relativistic version of the Euler equation for perfect fluid hydrodynamics is applied to a system of two neutron stars orbiting each other. In the quasi-equilibrium phase of the evolution of this system, a first integral of motion…

General Relativity and Quantum Cosmology · Physics 2009-10-30 S. Bonazzola , E. Gourgoulhon , J. -A. Marck

In this paper, we present a detailed derivation of relativistic first-order spin hydrodynamics using the Chapman-Enskog method to linearize the nonlocal collision term for massive fermions proposed in \cite{Weickgenannt:2021cuo}, which well…

High Energy Physics - Phenomenology · Physics 2022-04-27 Jin Hu

We study excitations of the spin-1 Bose gas at finite temperatures and in the presence of a not so strong magnetic field, or equivalently, when the gas sample is partially polarized. Motivated by the success of two-fluid hydrodynamics of…

Quantum Gases · Physics 2012-05-09 Gergely Szirmai , Peter Szepfalusy

We present the Hamiltonian formalism for the Euler equation of symplectic fluids, introduce symplectic vorticity, and study related invariants. In particular, this allows one to extend D.Ebin's long-time existence result for geodesics on…

Symplectic Geometry · Mathematics 2011-06-09 Boris Khesin

We study the dynamics of a single spin-1/2 coupled to a bath of spins-1/2 by inhomogeneous Heisenberg couplings including a central magnetic field. This central-spin model describes decoherence in quantum bit systems. An exact formula for…

Statistical Mechanics · Physics 2009-11-11 Michael Bortz , Joachim Stolze

In this work, we start with chiral kinetic theory and construct the spin hydrodynamic framework for a chiral spinor system. Using the 14-moment expansion formalism, we obtain the equations of motion of second-order dissipative relativistic…

Nuclear Theory · Physics 2021-04-26 Shuzhe Shi , Charles Gale , Sangyong Jeon

In this paper the method of the relativistically-invariant effective tensor representation of Lagrangian decomposition and the amplitudes of the two-photon interaction with hadrons on photon energy is proposed. In the frames…

High Energy Physics - Phenomenology · Physics 2016-12-06 N. V. Maksimenko , E. V. Vakulina

In this paper we study the linearized dynamics of spinor condensates using the spin-node formalism developed in arXiv:0812.3403. We provide a general method to linearize the equations of motion based on the symmetry of the mean-field ground…

Other Condensed Matter · Physics 2012-02-23 Ryan Barnett , Daniel Podolsky , Gil Refael

Aim of this paper is to present a brief and basic introduction to polarized beams and the behaviour of a particle's spin in an electromagnetic field. It is not intended to give a complete presentation of the spin dynamic theory. Instead the…

Accelerator Physics · Physics 2007-05-23 H. Stockhorst

We argue that a detailed analysis of the spin alignement of vector mesons can serve as a probe of two little-understood aspects of spin dynamics in the vortical fluid: The degree of relaxation between vorticity and parton spin polarization,…

Nuclear Theory · Physics 2022-03-18 Kayman J. Gonçalves , Giorgio Torrieri

The concept of spin hydrodynamics is reexamined and briefly characterized.

High Energy Physics - Phenomenology · Physics 2024-12-02 Wojciech Florkowski