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arXiv 0811.2305hep-thgr-qc
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流体力学中的黑洞-黑弦相变

Black hole-black string phase transitions from hydrodynamics

Kei-ichi Maeda, Umpei Miyamoto

摘要:

讨论了等离子体流体(等离子体球、均匀等离子体管和非均匀等离子体管)的三种状态之间的相变,这些状态与局域在渐近局部AdS空间中的有限能量黑物体(黑洞、均匀黑弦和非均匀黑弦)是对偶的.采用Scherk-Schwarz紧化共形场论得到的流体状态方程,得到了等离子体流体的轴对称静力平衡态,并画出了相图及其物理量。利用流体/引力对应,我们预言了AdS黑洞和引力侧弦的相图。AdS黑洞和弦的热力学相图与卡鲁扎-克莱因真空中的黑洞-黑弦系统有许多相似之处。例如,从均匀弦到非均匀弦的光滑过渡的临界维数与正则系综中的卡鲁扎-克莱因真空中的临界维数相同。本文的分析可以通过流体/重力对应提供对瑞利-高原与格雷戈里-拉弗拉姆不稳定性之间关系的全息理解。

英文摘要:

We discuss the phase transitions between three states of a plasma fluid (plasma ball, uniform plasma tube, and non-uniform plasma tube), which are dual to the corresponding finite energy black objects (black hole, uniform black string, and non-uniform black string) localized in an asymptotically locally AdS space. Adopting the equation of state for the fluid obtained by the Scherk-Schwarz compactification of a conformal field theory, we obtain axisymmetric static equilibrium states of the plasma fluid and draw the phase diagrams with their thermodynamical quantities. By use of the fluid/gravity correspondence, we predict the phase diagrams of the AdS black holes and strings on the gravity side. The thermodynamic phase diagrams of the AdS black holes and strings show many similarities to those of the black hole-black string system in a Kaluza-Klein vacuum. For instance, the critical dimension for the smooth transition from the uniform to non-uniform strings is the same as that in the Kaluza-Klein vacuum in the canonical ensemble. The analysis in this paper may provide a holographic understanding of the relation between the Rayleigh-Plateau and Gregory-Laflamme instabilities via the fluid/gravity correspondence.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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