Non-Relativistic Parity-Violating Hydrodynamics in Two Spatial Dimensions
arXiv:1310.8305 · doi:10.1103/PhysRevB.89.115418
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.
25 pages, published version
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- Holographic Constraints on Generalised Rivlin-Ericksen Fluid
- Relativistic hydrodynamics with the parity anomaly
- Universal nonlinear responses of quantum Hall systems with Galilean invariance
- Quantum kinetic theory of flux-carrying Brownian particles
- Hamiltonian structure of 2D fluid dynamics with broken parity
- Parity Breaking Transport in Lifshitz Hydrodynamics