Parity-violating hydrodynamics in 2 + 1 dimensions
By K. Jensen, M. Kaminski, P. Kovtun, R. Meyer, A. Ritz, A. Yarom. 2011
140 citations recorded by the source corpus.
A bstractWe study relativistic hydrodynamics of normal fluids in two spatial dimensions. When the microscopic theory breaks parity, extra transport coefficients appear in the hy- drodynamic 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 coeffi- cients 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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/19aecd27b8e78593bb2bfd1c680427bed385d3c6
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Citations in the corpus
- Relativistic magnetohydrodynamics (2017, background): “In 2+1 dimensional hydrodynamics, thermodynamic transport coefficients can already appear at first order in derivatives [24].”
- Adiabatic hydrodynamics: the eightfold way to dissipation (2015, background): “Firstly, the most general parity-odd first order stress tensor and charge current are given by the following Landau frame expressions [68]52 T (1) = (−ζ Θ + χ̃BB + χ̃Ω Ω) P αβ − 2 η σ − η̃H ε uμ σ ν , (8.”
- Spacetime symmetries of the quantum Hall effect (2014, background): “[22, 23] both for relativistic and non-relativistic systems, though B is taken there as first order in derivatives.”