Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids

TL;DR

This paper investigates how viscous effects modify the nonlinear anomalous responses, such as the chiral magnetic and vortical effects, in chiral fluids using kinetic theory, revealing dissipative quantum corrections and new Hall current phenomena.

Contribution

It introduces a kinetic theory framework to analyze non-equilibrium modifications of chiral effects, highlighting the role of shear and bulk viscosities in generating novel Hall currents.

Findings

Shear strength induces charged Hall currents perpendicular to magnetic fields and vorticity.

Chiral effects are modified by viscous effects, leading to dissipative quantum corrections.

Second law of thermodynamics remains valid despite non-equilibrium dissipative effects.

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.