Anomalous transport in second order hydrodynamics

TL;DR

This paper investigates non-dissipative transport phenomena at second order in hydrodynamics for chiral fermions, deriving explicit conductivities and comparing with prior findings using the partition function approach.

Contribution

It provides explicit expressions for second-order conductivities in chiral hydrodynamics and clarifies their features through the partition function formalism.

Findings

Derived explicit second-order conductivities for chiral fermions

Compared new results with existing literature

Highlighted features of second-order constitutive relations

Abstract

We study the non-dissipative transport effects appearing at second order in the hydrodynamic expansion for a non-interacting gas of chiral fermions by using the partition function formalism. We discuss some features of the corresponding constitutive relations, derive the explicit expressions for the conductivities and compare with existing results in the literature.