Holography and hydrodynamics: Diffusion on stretched horizons
Holography and hydrodynamics: Diffusion on stretched horizons
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DOI：
10.1088/1126-6708/2003/10/064
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发表时间：
2003-09
影响因子：
5.4
通讯作者：
P. Kovtun;D. Son;A. Starinets
中科院分区：
文献类型：
--
作者：
P. Kovtun;D. Son;A. Starinets
我们表明，平面对称视界的长时间，长距离波动表现出普遍的流体动力学行为。通过考虑黑膜背景周围的经典波动，我们发现扩散和剪切模式。扩散常数和剪切粘度由简单的公式给出，以公制分量。对于一个给定的度规，答案可以解释为相应的全息对偶理论中的动力学系数。对于近极值的Dp，M2和M5膜，计算的动力学系数与独立的AdS/CFT计算的结果一致。在所有实施例中，剪切粘度与熵密度的比率等于hbar/（4？kB），暗示了这个值的特殊意义。
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? kB), suggesting a special meaning of this value.