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arXiv · 1310.8305

Non-Relativistic Parity-Violating Hydrodynamics in Two Spatial Dimensions

Matthias Kaminski·Sergej Moroz
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Abstract

We construct the non-relativistic parity-violating hydrodynamic description of a two-dimensional dissipative, normal fluid in presence of small U(1) background fields and vorticity. This is achieved by taking the non-relativistic limit of the recently developed relativistic hydrodynamics in 2+1 dimensions. We identify and interpret the resulting parity-violating contributions to the non-relativistic constitutive relations, which include the Hall current flowing perpendicular to the temperature gradient, the Hall viscosity and the Leduc-Righi energy current. Also a comparison of our findings is made with the non-relativistic parity-violating hydrodynamics obtained from a light-cone dimensional reduction.

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Matthias Kaminski, Sergej Moroz. 2013-10-30. Non-Relativistic Parity-Violating Hydrodynamics in Two Spatial Dimensions. https://doi.org/10.1103/physrevb.89.115418

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