Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids.
We utilize the chiral kinetic theory (CKT) in a relaxation-time (RT) 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 (CME) and chiral vortical effect (CVE) are modified by the shear and bulk strengths. Particularly, the shear strength could result in charged Hall currents for CME and CVE, which propagate perpendicular to applied magnetic fields and vorticity. These quantum corrections stemming from side jumps and anomalies are dissipative and pertinent to interactions. Moreover, we show that the non-equilibrium corrections for the energy-density current should vanish based on the matching condition obtained from the CKT with the classical RT approximation. Although the non-equilibrium effects upon charge currents are dissipative, the second law of thermodynamics is still satisfied.
Publisher URL: http://arxiv.org/abs/1801.08253