A gravity derivation of the Tisza-Landau Model in AdS/CFT

Physics – High Energy Physics – High Energy Physics - Theory

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27 pages, 6 figures, 1 appendix; version published in PRD

Scientific paper

We derive the fully backreacted bulk solution dual to a boundary superfluid with finite supercurrent density in AdS/CFT. The non-linear boundary hydrodynamical description of this solution is shown to be governed by a relativistic version of the Tisza-Landau two-fluid model to non-dissipative order. As previously noted, the phase transition can be both first order and second order, but in the strongly-backreacted regime at low charge q we find that the transition remains second order for all allowed fractions of superfluid density.

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