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arXiv 1705.08596gr-qchep-th
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荷电AdS黑洞的临界现象和化学势

Critical phenomena and chemical potential of charged AdS black hole

Shao-Wen Wei, Bin Liang, Yu-Xiao Liu

摘要:

将宇宙学常数视为边界规范理论中的色数$N$,将其共轭量视为伴随的化学势$μ$,研究了五维带电AdS黑洞的热力学和化学势.发现存在一个由小到大的黑洞相变。在$N^{2}$ - $μ$图中研究了临界现象。特别是,在约化参数空间中,所有的热力学量都可以用黑洞电荷重新标度,使得这些约化的量与电荷无关。得到了共存曲线和相图。还对潜热进行了数值计算。此外,还研究了热容和热力学标量。结果表明,一阶黑洞相变的信息被编码在热容和标量中。然而,用它们不能直接计算相变点。然而,与二级相变相关的临界点可以由热容或标量来确定。此外,我们还计算了饱和小、大黑洞在临界点附近的临界热容指数和标量。

英文摘要:

We study the thermodynamics and the chemical potential for a five-dimensional charged AdS black hole by treating the cosmological constant as the number of colors $N$ in the boundary gauge theory and its conjugate quantity as the associated chemical potential $μ$. It is found that there exists a small-large black hole phase transition. The critical phenomena are investigated in the $N^{2}$-$μ$ chart. In particular, in the reduced parameter space, all the thermodynamic quantities can be rescaled with the black hole charge such that these reduced quantities are charge-independent. Then we obtain the coexistence curve and the phase diagram. The latent heat is also numerically calculated. Moreover, the heat capacity and the thermodynamic scalar are studied. The result indicates that the information of the first-order black hole phase transition is encoded in the heat capacity and scalar. However, the phase transition point cannot be directly calculated with them. Nevertheless, the critical point linked to a second-order phase transition can be determined by either the heat capacity or the scalar. In addition, we calculate the critical exponents of the heat capacity and the scalar for the saturated small and large black holes near the critical point.

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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