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arXiv 1008.2644gr-qchep-th
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Reissner Nordström - AdS黑洞的新型相变及其热力学几何

New type of phase transition in Reissner Nordström - AdS black hole and its thermodynamic geometry

Rabin Banerjee, Sumit Ghosh, Dibakar Roychowdhury

摘要:

本文利用Eschlafest方程详细研究了RN-AdS黑洞的相变。在熵中没有不连续性,这表明没有任何一阶相变。然后,我们表明,虽然埃克塞特的第一个方程是满意的,第二个不是,所以一个真正的二阶相变也被排除。然而,这种偏离第二埃克塞特的方程,对于一定范围的黑洞电荷,表明存在一个新的玻璃型转变。最后,我们研究的热力学行为,使用状态空间几何,并发现标量曲率发散正是在这些点的热容发散。

英文摘要:

The phase transition of a RN-AdS black hole is studied in details using Ehrenfest's equations. There is no discontinuity in entropy which signals a lack of any first order phase transition. We then show that although Ehrenfest's first equation is satisfied, the second is not, so that a true second order phase transition is also ruled out. However this deviation from the second Ehrenfest's equation, for a certain range of the black hole charge, indicates the existence of a new glassy type transition. We finally study the thermodynamic behaviour using state space geometry and find that the scalar curvature diverges exactly at those points where the heat capacity diverges.

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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