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arXiv 1203.0118gr-qchep-th
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高维Born Infeld AdS黑洞的临界行为

Critical behavior of Born Infeld AdS black holes in higher dimensions

Rabin Banerjee, Dibakar Roychowdhury

摘要:

基于正则框架,我们研究了高维Born-Infeld AdS黑洞的临界行为.作为特例,考虑适当的极限,我们还分析了Reissner Nordstrom AdS黑洞的临界现象.临界点的标志是在恒定充电的热容量的分歧。静态临界指数与各种热力学实体的计算和满足热力学标度律。这些标度律也被发现是与静态标度假说兼容。此外,我们表明,这些指数的值是普遍的,并不依赖于AdS空间的空间维数。我们还提供了一个建议的方法来计算与空间相关性,满足第二类标度律的临界指数。

英文摘要:

Based on a canonical framework, we investigate the critical behavior of Born-Infeld AdS black holes in higher dimensions. As a special case, considering the appropriate limit, we also analyze the critical phenomena for Reissner Nordstrom AdS black holes. The critical points are marked by the divergences in the heat capacity at constant charge. The static critical exponents associated with various thermodynamic entities are computed and shown to satisfy the thermodynamic scaling laws. These scaling laws have also been found to be compatible with the static scaling hypothesis. Furthermore, we show that the values of these exponents are universal and do not depend on the spatial dimensionality of the AdS space. We also provide a suggestive way to calculate the critical exponents associated with the spatial correlation which satisfy the scaling laws of second kind.

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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