$P-V$ criticality of charged dilatonic black holes
$P-V$ criticality of charged dilatonic black holes
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DOI：
10.1103/physrevd.90.104020
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发表时间：
2014-11
影响因子：
5
通讯作者：
M. Dehghani;A. Sheykhi;S. Kamrani
中科院分区：
文献类型：
--
作者：
M. Dehghani;A. Sheykhi;S. Kamrani
本文研究了具有爱因斯坦-麦克斯韦伸缩引力的荷电黑洞在两个Liouvile型势场作用下的临界行为，这两个势能使解渐近地既不平坦也不是ADS，并且有一个参数$%\Lambda$被视为一个热力学变量。我们得到了带电膨胀黑洞的Smarr型关系，发现黑洞的体积不同于几何体积。将黑洞电荷作为一个固定的外部参数，研究了Van der Waals液气系统与带电膨胀黑洞系统的类比。此外，我们还证明了当膨胀引力的耦合常数小于1且视界为球面时，压力、温度和体积的临界值是物理的。最后，我们计算了临界指数，结果表明，尽管热力学参数依赖于膨胀参数和时空的维度，但临界指数是普适的，并且与系统的细节无关。
In this paper, we investigate the critical behavior of charged black holes of Einstein-Maxwell-dilaton gravity in the presence of two Liouville-type potentials which make the solution asymptotically neither flat nor AdS and has a parameter $% \Lambda $ treated as a thermodynamic quantity that can vary. We obtain a Smarr-type relation for charged dilatonic black holes and find out that the volume is different from the geometrical volume. We study the analogy of the Van der Waals liquid-gas system with the charged dilatonic black hole system while we treat the black hole charge as a fixed external parameter. Moreover, we show that the critical values for pressure, temperature and volume are physical provided the coupling constant of dilaton gravity is less than one and the horizon is sphere. Finally, we calculate the critical exponents and show that they are universal and are independent of the details of the system although the thermodynamic quantities depend on the dilaton parameter and the dimension of the spacetime.