Experimental demonstration of the supersonic-subsonic bifurcation in the circular jump: a hydrodynamic white hole.
Experimental demonstration of the supersonic-subsonic bifurcation in the circular jump: a hydrodynamic white hole.
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圆形跳跃中超音速-亚音速分叉的实验演示：流体动力学白洞。
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
G. Rousseaux
中科院分区：
文献类型：
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作者：
Gil Jannes;Robert Piquet;P. Maïssa;Christian Mathis;G. Rousseaux
我们提供了一个实验证明，圆形水跃代表一个流体动力学的白色洞或引力喷泉（黑洞的时间反转），通过测量的角度的马赫锥由一个对象在“超音速”内流区。我们强调的一般性质，这种引力类比表明，从理论上说，白色洞的地平线构成一个静态和空间的鞍结分岔动力系统理论。我们还证明了内部区域具有“超光速”色散关系，即表面波的群速度随频率增加，并讨论了霍金辐射的鲁棒性方面的一些可能的后果。最后，我们指出，我们的实验显示了一个具体的例子，一个可能的“trans-Planckian扭曲”的黑色或白色洞。
We provide an experimental demonstration that the circular hydraulic jump represents a hydrodynamic white hole or gravitational fountain (the time reverse of a black hole) by measuring the angle of the Mach cone created by an object in the "supersonic" inner flow region. We emphasize the general character of this gravitational analogy by showing theoretically that the white hole horizon constitutes a stationary and spatial saddle-node bifurcation within dynamical-systems theory. We also demonstrate that the inner region has a "superluminal" dispersion relation, that is, that the group velocity of the surface waves increases with frequency, and discuss some possible consequences with respect to the robustness of Hawking radiation. Finally, we point out that our experiment shows a concrete example of a possible "trans-Planckian distortion" of black or white holes.