Holography and hydrodynamics: Diffusion on stretched horizons
Sep, 2003
27 pages
Published in:
- JHEP 10 (2003) 064
e-Print:
- hep-th/0309213 [hep-th]
Report number:
- UW-PT-03-21,
- INT-PUB-03-17
View in:
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Abstract: (arXiv)
We 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 \hbar/(4\pi k_B), suggesting a special meaning of this value.- space-time
- membrane model: D-brane
- membrane model: p-brane
- gauge field theory: U(1)
- field equations: solution
- diffusion
- temperature: Hawking
- holography
- hydrodynamics
- boundary condition
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