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arXiv 1111.0147gr-qchep-th
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Born-Infeld AdS黑洞的临界现象

Critical phenomena in Born-Infeld AdS black holes

Rabin Banerjee, Dibakar Roychowdhury

摘要:

我们利用正则系综研究了Born-Infeld AdS黑洞临界现象的热力学。临界行为已被研究的临界点附近,其特征在于在恒定充电的热容量的不连续性。我们明确地计算相关的热力学量的临界指数。这些指数满足所有的热力学标度律。我们还检查了广义齐次函数(GHF)的假设(或标度假设),这是相容的热力学标度律。最后,我们检查的第二类标度律,其中包括与空间相关的临界指数的有效性。在适当的限制下,我们的结果也给出了Reissner Nordstrom AdS情形的相应表达式.

英文摘要:

We investigate the thermodynamics of critical phenomena in Born-Infeld AdS black holes using a canonical ensemble. The critical behavior has been studied near the critical point which is characterized by a discontinuity in the heat capacity at constant charge. We explicitly calculate the critical exponents of the relevant thermodynamic quantities. These exponents satisfy all the thermodynamic scaling laws. We also check the Generalized Homogeneous Function (GHF) hypothesis (or the scaling hypothesis) which is shown to be compatible with the thermodynamic scaling laws. Finally we check the validity of the scaling laws of second kind which include the critical exponents associated with the spatial correlation. In the appropriate limit our results also provide the corresponding expressions for the Reissner Nordstrom AdS case.

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