论文标题
简单地旋转黑洞和流体动力学的流体动力学,用于旋转量子流体
Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
论文作者
论文摘要
我们发现在大的简单旋转五维抗DE保姆黑洞中的流体动力行为。这些是通过字符串理论构成的AD/CFT对应关系对旋转量子流体的双重旋转。由于系统中的角动量引入了空间各向异性,因此流体动力传输系数分为一组纵向,另一个横向到角动量。为两个剪切粘度,纵向动量扩散系数,两个声音速度和两个声音衰减系数提供了分析表达式。这些系数之间的已知关系被普遍化为包括对角动量的依赖。剪切粘度与熵密度比在零和1/(4 $π$)之间变化,具体取决于剪切的方向。这些结果可以应用于重离子碰撞,最近报告了最涡流的液体。顺便说一句,我们表明,简单地旋转五维的迈尔斯 - 佩里黑洞在极端低于极端的所有角动量上都是稳定的。
We find hydrodynamic behavior in large simply spinning five-dimensional Anti-de Sitter black holes. These are dual to spinning quantum fluids through the AdS/CFT correspondence constructed from string theory. Due to the spatial anisotropy introduced by the angular momentum in the system, hydrodynamic transport coefficients split into one group longitudinal and another transverse to the angular momentum. Analytic expressions are provided for the two shear viscosities, the longitudinal momentum diffusion coefficient, two speeds of sound, and two sound attenuation coefficients. Known relations between these coefficients are generalized to include dependence on angular momentum. The shear viscosity to entropy density ratio varies between zero and 1/(4$π$) depending on the direction of the shear. These results can be applied to heavy ion collisions, in which the most vortical fluid was reported recently. In passing, we show that large simply spinning five-dimensional Myers-Perry black holes are perturbatively stable for all angular momenta below extremality.