Dissipative superfluid dynamics from gravity

Bhattacharya, Jyotirmoy ; Bhattacharyya, Sayantani ; Minwalla, Shiraz (2011) Dissipative superfluid dynamics from gravity Journal of High Energy Physics, 2011 (4). 125_1-125_83. ISSN 1126-6708

Full text not available from this repository.

Official URL: http://www.springerlink.com/content/h330641j28g343...

Related URL: http://dx.doi.org/10.1007/JHEP04(2011)125

Abstract

Charged asymptotically AdS5 black branes are sometimes unstable to the condensation of charged scalar fields. For fields of infinite charge and squared mass −4 Herzog was able to analytically determine the phase transition temperature and compute the endpoint of this instability in the neighborhood of the phase transition. We generalize Herzog's construction by perturbing away from infinite charge in an expansion in inverse charge and use the solutions so obtained as input for the fluid gravity map. Our tube wise construction of patched up locally hairy black brane solutions yields a one to one map from the space of solutions of superfluid dynamics to the long wavelength solutions of the Einstein Maxwell system. We obtain explicit expressions for the metric, gauge field and scalar field dual to an arbitrary superfluid flow at first order in the derivative expansion. Our construction allows us to read off the the leading dissipative corrections to the perfect superfluid stress tensor, current and Josephson equations. A general framework for dissipative superfluid dynamics was worked out by Landau and Lifshitz for zero superfluid velocity and generalized to nonzero fluid velocity by Clark and Putterman. Our gravitational results do not fit into the 13 parameter Clark-Putterman framework. Purely within fluid dynamics we present a consistent new generalization of Clark and Putterman's equations to a set of superfluid equations parameterized by 14 dissipative parameters. The results of our gravitational calculation fit perfectly into this enlarged framework. In particular we compute all the dissipative constants for the gravitational superfluid.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
Keywords:Gauge-gravity Correspondence; Ads-cft Correspondence; Holography and Condensed Matter Physics (AdS/CMT)
ID Code:63754
Deposited On:29 Sep 2011 13:31
Last Modified:29 Sep 2011 13:31

Repository Staff Only: item control page