The effect of magnetization and electric polarization on the anomalous transport coefficients of a chiral fluid

Abstract

The effects of finite magnetization and electric polarization on dissipative and non-dissipative (anomalous) transport coefficients of a chiral fluid are studied. First, using the second law of thermodynamics as well as Onsager's time reversal symmetry principle, the complete set of dissipative transport coefficients of this medium is derived. It is shown that the properties of the resulting shear and bulk viscosities are mainly affected by the anisotropy induced by external electric and magnetic fields. Then, using the fact that the anomaly induced currents do not contribute to entropy production, the corresponding algebro-differential equations to non-dissipative anomalous transport coefficients are derived in a certain derivative expansion. The solutions of these equations show that, within this approximation, anomalous transport coefficients are, in particular, given in terms of the electric susceptibility of the medium.

V1: 14 pages (two-column), 1 table, no figure; V2: 20 pages (one-column), 1 table, no figure. Version accepted for publication in New Journal of Physics (2017)

References in corpus (11)

• The Chiral Magnetic Effect
• Gravitational Anomaly and Transport
• Quantum Anomalies in Dense Matter
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Relativistic Hydrodynamics with General Anomalous Charges
• The chiral magnetic effect in hydrodynamical approach
• Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Boundary form factors in finite volume
• Collective Excitations in Hot QCD Plasma
• Anomalous transport and massive gravity theories

Cited by in corpus (6)

• Collective Excitations in Hot QCD Plasma
• Magneto-Transport in a Chiral Fluid from Kinetic Theory
• Anomalous Hall instability in the Chern-Simons magnetohydrodynamics
• Paramagnetic squeezing of a uniformly expanding quark-gluon plasma in and out of equilibrium
• Rotating solutions of nonideal transverse Chern-Simons magnetohydrodynamics and the anomalous Hall current
• Chiral vortical conductivities and the moment of inertia of a rigidly rotating Fermi gas