A gravity derivation of the Tisza-Landau Model in AdS/CFT
High Energy Physics - Theory
2014-11-20 v2
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.
Keywords
Cite
@article{arxiv.1004.2707,
title = {A gravity derivation of the Tisza-Landau Model in AdS/CFT},
author = {Julian Sonner and Benjamin Withers},
journal= {arXiv preprint arXiv:1004.2707},
year = {2014}
}
Comments
27 pages, 6 figures, 1 appendix; version published in PRD