Relativistic Viscous Hydrodynamics with Angular Momentum

Abstract

Hydrodynamics is a general theoretical framework for describing the long-time large-distance behaviors of various macroscopic physical systems, with its equations based on conservation laws such as energy-momentum conservation and charge conservation. Recently there has been significant interest in understanding the implications of angular momentum conservation for a corresponding hydrodynamic theory. In this work, we examine the key conceptual issues for such a theory in the relativistic regime where the orbital and spin components get entangled. We derive the equations for relativistic viscous hydrodynamics with angular momentum through Navier-Stokes type of gradient expansion analysis and find five new transport coefficients for angular momentum diffusion modes.

References in corpus (6)

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Cited by in corpus (37)

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• Quantum Kinetic Theory for Quantum Electrodynamics
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• The causality and stability of relativistic spin-hydrodynamics
• Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
• Damping of spin waves
• Hybrid approach to perfect and dissipative spin hydrodynamics
• Boost invariant spin hydrodynamics within the first order in derivative expansion
• Resummed spin hydrodynamics from quantum kinetic theory
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• Hyperon polarization and its relation with directed flow in high-energy nuclear collisions
• Generalized thermodynamic relations for perfect spin hydrodynamics
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• Emergent Canonical Spin Tensor in the Chiral-Symmetric Hot QCD
• Boost-invariant spin hydrodynamics with spin feedback effects
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• Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium
• Relativistic hydrodynamic model with the average reverse gamma factor evolution for the degenerate plasmas: high-density ion-acoustic solitons
• Spin Polarization of $\Lambda$ hyperons from Dissipative Spin Hydrodynamics
• Polarization of spin-1/2 particles with effective spacetime dependent masses
• Chiral effects in classical spinning gas
• Second-order spin hydrodynamics from Zubarev's nonequilibrium statistical operator formalism
• Spin hydrodynamics -- recent developments
• Application range of perfect spin hydrodynamics
• Hybrid framework of Fermi-Dirac spin hydrodynamics
• Semi-Classical Spin Hydrodynamics in Flat and Curved Spacetime: Covariance, Linear Waves, and Bjorken Background
• Tensor spin polarization induced by curved freeze-out hypersurface
• On the local thermodynamic relations in relativistic spin hydrodynamics
• Theoretical aspects of relativistic spin hydrodynamics coupled with electromagnetic fields
• Study of spin polarization dependence on rapidity, transverse momentum, and azimuthal angle