Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-01-20
JHEP 0603:052,2006
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, 1 figure; v2: typos fixed, references added; v3: typo in eq. 2.18 fixed
Scientific paper
10.1088/1126-6708/2006/03/052
We consider hydrodynamics of N=4 supersymmetric SU(N_c) Yang-Mills plasma at a nonzero density of R-charge. In the regime of large N_c and large 't Hooft coupling the gravity dual description involves an asymptotically Anti- de Sitter five-dimensional charged black hole solution of Behrnd, Cvetic and Sabra. We compute the shear viscosity as a function of chemical potentials conjugated to the three U(1) \subset SO(6)_R charges. The ratio of the shear viscosity to entropy density is independent of the chemical potentials and is equal to 1/4\pi. For a single charge black hole we also compute the thermal conductivity, and investigate the critical behavior of the transport coefficients near the boundary of thermodynamic stability.
Son Dam T.
Starinets Andrei O.
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