Parity-Violating Hydrodynamics in 2+1 Dimensions
Abstract
We study relativistic hydrodynamics of normal fluids in two spatial dimensions. When the microscopic theory breaks parity, extra transport coefficients appear in the hydrodynamic regime, including the Hall viscosity, and the anomalous Hall conductivity. In this work we classify all the transport coefficients in first order hydrodynamics. We then use properties of response functions and the positivity of entropy production to restrict the possible coefficients in the constitutive relations. All the parity-breaking transport coefficients are dissipationless, and some of them are related to the thermodynamic response to an external magnetic field and to vorticity. In addition, we give a holographic example of a strongly interacting relativistic fluid where the parity-violating transport coefficients are computable.
Cite
@article{arxiv.1112.4498,
title = {Parity-Violating Hydrodynamics in 2+1 Dimensions},
author = {Kristan Jensen and Matthias Kaminski and Pavel Kovtun and Rene Meyer and Adam Ritz and Amos Yarom},
journal= {arXiv preprint arXiv:1112.4498},
year = {2013}
}
Comments
39+1 pages