paper

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

arXiv:1004.2707 · doi:10.1103/PhysRevD.82.026001

Abstract

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.

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

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