Second-order dissipative hydrodynamics for plasma with chiral asymmetry and vorticity

Abstract

By making use of the chiral kinetic theory in the relaxation-time approximation, we derive an Israel-Stewart type formulation of the hydrodynamic equations for a chiral relativistic plasma made of neutral particles (e.g., neutrinos). The effects of chiral asymmetry are captured by including an additional continuity equation for the axial charge, as well as the leading-order quantum corrections due to the spin of particles. In a formulation of the chiral kinetic theory used, we introduce a symmetric form of the energy-momentum tensor that is suitable for the description of a weakly nonuniform chiral plasma. By construction, the energy and momentum are conserved to the same leading order in the Planck constant as the kinetic equation itself. By making use of such a chiral kinetic theory and the Chapman-Enskog approach, we obtain a set of second-order dissipative hydrodynamic equations. The effects of the fluid vorticity and velocity fluctuations on the dispersion relations of chiral vortical waves are analyzed.

15 pages, published version

References in corpus (18)

• The Chiral Magnetic Effect
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Chiral anomaly and transport in Weyl metals
• Chiral Magnetic Wave
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
• Relativistic Hydrodynamics with General Anomalous Charges
• Lorentz Invariance in Chiral Kinetic Theory
• Relativistic Chiral Kinetic Theory from Quantum Field Theories
• The chiral magnetic effect in hydrodynamical approach
• Collisions in Chiral Kinetic Theory
• Stability and Causality in relativistic dissipative hydrodynamics
• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
• The ideal relativistic fluid limit for a medium with polarization
• Anomaly-driven inverse cascade and inhomogeneities in a magnetized chiral plasma in the early Universe
• Thermal chiral vortical and magnetic waves: new excitation modes in chiral fluids

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• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• The ideal relativistic fluid limit for a medium with polarization
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• Foundations and Applications of Quantum Kinetic Theory
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• Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids
• Magnetotransport in multi-Weyl semimetals: A kinetic theory approach
• Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory
• Chiral Radiation Transport Theory of Neutrinos
• Evolution of the Primordial Axial Charge across Cosmic Times
• Relativistic hydrodynamics with spin in the presence of electromagnetic fields
• Second-order Charge Currents and Stress Tensor in Chiral System
• Equilibration of the chiral asymmetry due to finite electron mass in electron-positron plasma
• Hydrodynamic modes in a magnetized chiral plasma with vorticity
• Causal and stable first-order chiral hydrodynamics
• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Quantum Kinetic Theory with Vector and Axial Gauge Fields
• Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions
• Phenomenological Relativistic Second-Order Hydrodynamics for Multiflavor Fluids
• Abelian and non-Abelian Berry curvatures in lattice QCD
• Vortical waves in a quantum fluid with vector, axial, and helical charges. I. Non-dissipative transport
• Vortical waves in a quantum fluid with vector, axial and helical charges. II. Dissipative effects
• Chiral heat wave in cold Fermi liquid and modified zero sound