Nonequilibrium chiral magnetic/vortical effects in viscous fluids

Yoshimasa Hidaka,Di-Lun Yang

doi:10.1103/physrevd.98.016012

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.

Highlights

The anomalous transport for Weyl fermions related to quantum anomalies such as chiral magnetic/vortical effects (CME/CVE), from which charged currents are induced by magnetic/vortical fields, has recently aroused great interest in the studies of relativistic heavy ion collisions (HIC) and Weyl semimetals [1,2,3,4]
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
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

Summary

INTRODUCTION

The anomalous transport for Weyl fermions related to quantum anomalies such as chiral magnetic/vortical effects (CME/CVE), from which charged currents are induced by magnetic/vortical fields, has recently aroused great interest in the studies of relativistic heavy ion collisions (HIC) and Weyl semimetals [1,2,3,4]. YOSHIMASA HIDAKA and DI-LUN YANG the nonequilibrium quantum corrections are dissipative, the second law of thermodynamics is still satisfied

WIGNER FUNCTIONS AND CHIRAL KINETIC THEORY

NONEQUILIBRIUM RESPONSES AND CHARGE CURRENTS

ENTROPY PRODUCTION

T ðpuμ þ

DISCUSSIONS AND OUTLOOK