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Conformal non-relativistic hydrodynamics from gravity

Mukund Rangamani1, Simon F. Ross1, D.T. Son2 and Ethan G. Thompson3

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We show that the recently constructed holographic duals of conformal non-relativistic theories behave hydrodynamically at long distances, and construct the gravitational dual of fluid flows in a long-wavelength approximation. We compute the thermal conductivity of the holographic conformal non-relativistic fluid. The corresponding Prandtl number is equal to one.

Keywords

Black Holes in String Theory

Gauge-gravity correspondence

 

E-print Number: 0811.2049

Cited: by |

Refers: to

PACS

04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields

11.25.Hf Conformal field theory, algebraic structures

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 01 (January 2009)

Received 26 November 2008, accepted for publication 7 January 2009

Published 28 January 2009



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