×
Rangamani, Mukund; Ross, Simon F.; Son, D. T.; Thompson, Ethan G.

Conformal non-relativistic hydrodynamics from gravity. (English) Zbl 1243.81179

J. High Energy Phys. 2009, No. 1, 075, 26 p. (2009).
Summary: 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.

Cited in 21 Documents

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81V17 Gravitational interaction in quantum theory
76A99 Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena
Cite Review PDF
Full Text: DOI arXiv Link

References:

[2] doi:10.1016/S0370-2693(98)00377-3 · Zbl 1355.81126 · doi:10.1016/S0370-2693(98)00377-3
[5] doi:10.1103/PhysRevD.78.046003 · doi:10.1103/PhysRevD.78.046003
[6] doi:10.1103/PhysRevLett.101.061601 · Zbl 1228.81247 · doi:10.1103/PhysRevLett.101.061601
[7] doi:10.1103/PhysRevD.5.377 · doi:10.1103/PhysRevD.5.377
[8] doi:10.1016/S0370-2693(00)00006-X · Zbl 0959.81085 · doi:10.1016/S0370-2693(00)00006-X
[9] doi:10.1103/PhysRevD.76.086004 · doi:10.1103/PhysRevD.76.086004
[20] doi:10.1103/PhysRevD.78.087701 · doi:10.1103/PhysRevD.78.087701
[21] doi:10.1103/PhysRevD.78.106005 · doi:10.1103/PhysRevD.78.106005
[32] doi:10.1016/S0003-4916(03)00118-0 · Zbl 1040.81070 · doi:10.1016/S0003-4916(03)00118-0
[37] doi:10.1146/annurev.nucl.57.090506.123120 · doi:10.1146/annurev.nucl.57.090506.123120
[52] doi:10.1103/PhysRevLett.101.261602 · doi:10.1103/PhysRevLett.101.261602
[54] doi:10.1016/0003-4916(74)90404-7 · Zbl 0328.70016 · doi:10.1016/0003-4916(74)90404-7
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.