Setsunan University, 17-8 Ikeda Nakamachi, Osaka 572-8508, Japan.
Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506, USA.
Phys Rev Lett. 2014 Aug 29;113(9):091603. doi: 10.1103/PhysRevLett.113.091603. Epub 2014 Aug 27.
It is expected that the Gregory-Laflamme (GL) instability in the black string in gravity is related to the Rayleigh-Plateau instability in fluid mechanics. Especially, the orders of the phase transitions associated with these instabilities depend on the number of the transverse space dimensions, and they are of first and second order below and above the critical dimension. Through the gauge-gravity correspondence, the GL instability is conjectured to be thermodynamically related to the Hagedorn instability in large-N gauge theories, and it leads to a prediction that the order of the confinement-deconfinement transition associated with the Hagedorn instability may depend on the transverse dimension. We test this conjecture in the D-dimensional bosonic D0-brane model using numerical simulation and the 1/D expansion, and confirm the expected D dependence.
预计在引力中的黑弦中的 Gregory-Laflamme（GL）不稳定性与流体力学中的 Rayleigh-Plateau 不稳定性有关。特别是，与这些不稳定性相关的相变阶数取决于横向空间维度的数量，并且在临界维度以下和以上分别为一阶和二阶。通过规范-引力对应，GL 不稳定性被推测与大-N 规范理论中的 Hagedorn 不稳定性在热力学上有关，并且它导致了一个预测，即与 Hagedorn 不稳定性相关的禁闭-退禁闭相变的阶数可能取决于横向维度。我们使用数值模拟和 1/D 展开在 D 维玻色 D0-膜模型中检验了这一猜想，并证实了预期的 D 依赖性。
