Relativistic Spin Magnetohydrodynamics

Abstract

Starting from kinetic theory description of massive spin-1/2 particles in presence of magnetic field, equations for relativistic dissipative non-resistive magnetohydrodynamics are obtained in the small polarization limit. We use a relaxation time approximation for the collision kernel in the relativistic Boltzmann equation and calculate non-equilibrium corrections to the phase-space distribution function of spin-polarizable particles. We demonstrate that our framework naturally leads to emergence of the well known Einstein-de Hass and Barnett effects. We obtain multiple transport coefficients and show, for the first time, that the coupling between spin and magnetic field appear at gradient order in hydrodynamic equations.

8+5 pages, published version

References in corpus (18)

• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Angular momentum conservation in heavy ion collisions at very high energy
• Polarization probes of vorticity in heavy ion collisions
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Lambda hyperon polarization in relativistic heavy ion collisions from the chiral kinetic approach
• Global polarization of $\Xi$ and $\Omega$ hyperons in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• The ideal relativistic spinning gas: polarization and spectra
• Electrical Conductivity of Quark-Gluon Plasma in Strong Magnetic Fields
• A hydrodynamic study of hyperon spin polarization in relativistic heavy ion collisions
• Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
• Spin polarization evolution in a boost invariant hydrodynamical background
• Kubo Formulae for Second-Order Hydrodynamic Coefficients
• Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
• Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory:a relaxation time approach
• Relativistic Particle and Relativistic Fluids: Magnetic Moment and Spin-Orbit Interactions
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Linear mode analysis from spin transport equation
• Spin waves in spin hydrodynamics

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• Estimating Longitudinal Polarization of $\Lambda$ and $\bar{\Lambda }$ Hyperons at Relativistic Energies using Hydrodynamic and Transport models
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• Semi-Classical Spin Hydrodynamics in Flat and Curved Spacetime: Covariance, Linear Waves, and Bjorken Background
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• Generalized relativistic second order magnetohydrodynamics: A correlation function approach using Zubarev's nonequilibrium statistical operator
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