Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids

Abstract

We utilize the chiral kinetic theory in a relaxation-time approximation to investigate the nonlinear anomalous responses of chiral fluids with viscous effects. Unlike the cases in equilibrium, it is found that the chiral magnetic effect and chiral vortical effect are modified by the shear and bulk strengths. Particularly, the shear strength could result in charged Hall currents for chiral magnetic and chiral vortical effects, which propagate perpendicular to applied magnetic fields and vorticity. These quantum corrections stemming from side jumps and anomalies are dissipative and pertinent to interactions. Although the non-equilibrium effects upon charge currents are dissipative, the second law of thermodynamics is still satisfied.

9 pages, no figures, paragraphs extended, journal version accepted by PRD

References in corpus (21)

• The Chiral Magnetic Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Gravitational Anomaly and Transport
• Chiral Magnetic conductivity
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Relativistic Hydrodynamics with General Anomalous Charges
• Lorentz Invariance in Chiral Kinetic Theory
• Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
• The chiral magnetic effect in hydrodynamical approach
• Collisions in Chiral Kinetic Theory
• Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
• Chiral magnetic effect in lattice QCD with a chiral chemical potential
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• A Possible Higher Order Correction to the chiral Vortical Conductivity in a Gauge Field Plasma
• Non-equilibrium study of the Chiral Magnetic Effect from real-time simulations with dynamical fermions
• A consistent description of kinetic equation with triangle anomaly
• Chiral Hall Effect and Chiral Electric Waves
• Charge redistribution from anomalous magnetovorticity coupling
• Chiral Magnetic Effect at Weak Coupling with Relaxation Dynamics
• Consistent hydrodynamic theory of chiral electrons in Weyl semimetals
• Boost invariant formulation of the chiral kinetic theory

Cited by in corpus (49)

• Axial Kinetic Theory and Spin Transport for Fermions with Arbitrary Mass
• Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
• Mass Correction to Chiral Kinetic Equations
• Chiral kinetic theory in curved spacetime
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• Foundations and Applications of Quantum Kinetic Theory
• Chiral effects in astrophysics and cosmology
• Spin alignment of vector mesons by glasma fields
• Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory
• Consistent Relativistic Chiral Kinetic Theory: a derivation from OSEFT
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Effect of thermal shear on longitudinal spin polarization in a thermal model
• Wigner functions and quantum kinetic theory of polarized photons
• Spin polarization dynamics in the non-boost-invariant background
• Chiral Radiation Transport Theory of Neutrinos
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Chiral kinetic theory from the on-shell effective theory: derivation of collision terms
• Spin alignment of vector mesons by second-order hydrodynamic gradients
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Relativistic hydrodynamics with spin in the presence of electromagnetic fields
• Spin polarization and correlation of quarks from glasma
• Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity
• Second-order Charge Currents and Stress Tensor in Chiral System
• Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields
• Hydrodynamic modes in a magnetized chiral plasma with vorticity
• Spin waves in spin hydrodynamics
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Non-Equilibrium Quantum Transport of Chiral Fluids from Kinetic Theory
• Massless Limit of Transport Theory for Massive Fermions
• Eddy magnetization from the chiral Barnett effect
• Chiral magnetic response to arbitrary axial imbalance
• Chiral kinetic theory with small mass corrections and quantum coherent states
• Magnetic field induced neutrino chiral transport near equilibrium
• Photoproduction of $e^{+}{e}^{-}$ in peripheral isobar collisions
• Mode Decomposed Chiral Magnetic Effect and Rotating Fermions
• Spectral Noncommutative Geometry, Standard Model and all that
• Anomaly-induced transport phenomena from the imaginary-time formalism
• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Mass Correction to Chiral Kinetic Equations
• Transverse and longitudinal spin alignment from color fields in heavy ion collisions
• Shear-induced anomalous transport and charge asymmetry of triangular flow in heavy-ion collisions
• Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions
• Out of equilibrium Chiral Vortical Effect in Holography
• Conformal anomaly and helicity effects in kinetic theory via scale-dependent coupling
• Color-electric conductivity in a viscous quark-gluon plasma
• Dissipative effects on the propagation of spin modes
• Study of spin polarization dependence on rapidity, transverse momentum, and azimuthal angle
• Non-static Analysis of the Anomalous Chiral Conductivities
• Theoretical aspects of relativistic spin hydrodynamics coupled with electromagnetic fields