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A theory of first order dissipative superfluid dynamics

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arxiv 1105.3733 v2 pith:KFUFIJVL submitted 2011-05-18 hep-th cond-mat.supr-con

Jyotirmoy Bhattacharya , Sayantani Bhattacharyya , Shiraz Minwalla , Amos Yarom This is my paper · ORCID
classification hep-thcond-mat.supr-con
keywords equationssuperfluidconsistentfirstgeneralinvariancelimitorder
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abstract

We 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.

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Cited by 3 Pith papers

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    In anisotropic relativistic fluids, branch-point dispersion relations force a continuum of complex-wavevector mode collisions, and causality bounds the convergence radius direction-by-direction in terms of transport c...

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    The chiral anomaly acquires local-temperature and chemical-potential terms that produce the chiral separation and vortical effects, and it vanishes at global equilibrium.

  3. Flavour current correlators and the non-Abelian hydrodynamic approximation: the charged sector

    hep-th 2026-07 conditional novelty 6.0 of 10

    Isospin-imbalanced strongly coupled dense matter is shown, via holography, to obey non-Abelian hydrodynamic predictions for current correlators up to the chemical-potential scale, beyond the standard ω,k ≪ T regime.

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