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

TL;DR

This paper investigates how magnetization and electric polarization influence the transport properties of a chiral fluid, deriving new relations for both dissipative and anomalous transport coefficients using thermodynamic principles.

Contribution

It provides a comprehensive derivation of dissipative and non-dissipative transport coefficients considering external fields and anomaly effects, highlighting the role of electric susceptibility.

Findings

Shear and bulk viscosities are affected by external electric and magnetic fields.

Anomalous transport coefficients are expressed in terms of electric susceptibility.

Derived equations show the impact of anisotropy on transport properties.

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.