Thermodynamics of phase transition in higher dimensional AdS black holes
Thermodynamics of phase transition in higher dimensional AdS black holes
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DOI：
10.1007/jhep11(2011)004
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发表时间：
2011-11-01
影响因子：
5.4
通讯作者：
Roychowdhury, Dibakar
中科院分区：
文献类型：
--
作者：
Banerjee, Rabin;Roychowdhury, Dibakar
利用巨正则系综法研究了(n+1)维Reissner Nordstrom(RN)-ADS黑洞的相变热力学。这种相变的特点是比热不连续。相变发生在低质量负比热黑洞到高质量正比热黑洞的相变过程。通过对Ehrenfest方案的研究，我们证明了这是一个二级相变。导出了临界温度和临界质量的显式表达式。在适当的限制下，得到了(n+1)维Schwarzschild ad黑洞的结果。
We investigate the thermodynamics of phase transition for (n + 1) dimensional Reissner Nordstrom (RN)-AdS black holes using a grand canonical ensemble. This phase transition is characterized by a discontinuity in specific heat. The phase transition occurs from a lower mass black hole with negative specific heat to a higher mass black hole with positive specific heat. By exploring Ehrenfest's scheme we show that this is a second order phase transition. Explicit expressions for the critical temperature and critical mass are derived. In appropriate limits the results for (n + 1) dimensional Schwarzschild AdS black holes are obtained.