Second order hydrodynamics for a special class of gravity duals

Details Second order hydrodynamics for a special class of gravity duals Second order hydrodynamics for a special class of gravity duals

2009-02-15

arxiv.org/abs/0902.2566v2

Phys.Rev.D79:086003,2009

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1103/PhysRevD.79.086003

The sound mode hydrodynamic dispersion relation is computed up to order $q^3$ for a class of gravitational duals which includes both Schwarzschild $AdS$ and Dp-Brane metrics. The implications for second order transport coefficients are examined within the context of Israel-Stewart theory. These sound mode results are compared with previously known results for the shear mode. This comparison allows one to determine the third order hydrodynamic contributions to the shear mode for the class of metrics considered here.

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