Pavel Kovtun et al JHEP10(2003)064 doi:10.1088/1126-6708/2003/10/064
Holography and hydrodynamics: diffusion on stretched horizons
Pavel Kovtun1, Dam T. Son2 and Andrei O. Starinets2
Show affiliationsWe show that long-time, long-distance fluctuations of plane-symmetric horizons exhibit universal hydrodynamic behavior. By considering classical fluctuations around black-brane backgrounds, we find both diffusive and shear modes. The diffusion constant and the shear viscosity are given by simple formulas, in terms of metric components. For a given metric, the answers can be interpreted as corresponding kinetic coefficients in the holographically dual theory. For the near-extremal Dp, M2 and M5 branes, the computed kinetic coefficients coincide with the results of independent AdS/CFT calculations. In all the examples, the ratio of shear viscosity to entropy density is equal to 
/(4πkB), suggesting a special meaning of this value.
- Keywords
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E-print Number: hep-th/0309213
Cited: by |
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- PACS
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11.25.Hf Conformal field theory, algebraic structures
04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics
- Subjects
- Dates
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Issue 10 (October 2003)
Received 5 October 2003, accepted for publication 28 October 2003
Published 25 November 2003
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Holography and hydrodynamics: diffusion on stretched horizons
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