A theory of first order dissipative superfluid dynamics
By J. Bhattacharya, Sayantani Bhattacharyya, Shiraz Minwalla, A. Yarom. 2011
178 citations recorded by the source corpus.
A bstractWe determine the most general form of the equations of relativistic superfluid hydrodynamics consistent with Lorentz invariance, time-reversal invariance, the Onsager principle and the second law of thermodynamics at first order in the derivative expansion. Once parity is violated, either because the U(1) symmetry is anomalous or as a consequence of a different parity-breaking mechanism, our results deviate from the standard textbook analysis of superfluids. Our general equations require the specification of twenty parameters (such as the viscosity and conductivity). In the limit of small relative superfluid velocities we find a seven parameter set of equations. In the same limit, we have used the AdS/CFT correspondence to compute the parity odd contributions to the superfluid equations of motion for a generic holographic model and have verified that our results are consistent.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/4af6ad9378fae6bc37ffc5a0d16d74af95b3385c
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Citations in the corpus
- First-order relativistic hydrodynamics is stable (2019, background): “[32] for a review, though the discussion below is from a different angle).”
- Fate of spin polarization in a relativistic fluid: An entropy-current analysis (2019, background): “Since Θ αβ is assumed to be invariant [23, 24], this variation should be at most a second-order quantity δq = O(∂(2)), and is negligible as compared to q in the original frame.”
- What Can Gauge-Gravity Duality Teach Us about Condensed Matter Physics? (2011, background): “[57] which has obtained new insights on the low temperature hydrodynamics of superfluids using the dual gravity approach.”
- Generalized global symmetries and dissipative magnetohydrodynamics (2016, background): “[38] that for a parity-preserving fluid with a conserved 1-form current, all ambiguities in the entropy current can be fixed by demanding that entropy production on an arbitrary curved background be positive.”
- Adiabatic hydrodynamics: the eightfold way to dissipation (2015, background): “, [109] for a comprehensive treatment of superfluid dynamics and [110–112] for discussions about holographic superfluids).”
- Viscosity and dissipative hydrodynamics from effective field theory (2013, background): “[10, 11]) as a gradient expansion in temperature, chemical potential and velocity fields: T (x), μ(x) and u(x).”
- Holographic Quantum Matter (2016, unknown): “Important papers in this endeavor include [29; 88; 89; 90; 374; 375; 378].”