Born-Infeld AdS黑洞的Ruppeiner几何、重入相变和微观结构
Ruppeiner Geometry, Reentrant Phase transition and Microstructure of Born-Infeld AdS Black Hole
摘要：
当Born-Infeld参数$b$取一定值时，Born-Infeld AdS黑洞呈现出可重入的相变.与在带电AdS黑洞中观察到的范德华样相变相比，这种行为是一个额外的特征。因此，值得观察这种重入相变的潜在微观起源。根据参数$b$的值，黑洞系统有四种不同的情况：没有相变，有两种情况的再入相变，或范德华（标准）相变。本文采用一种新的Ruppeiner几何方法，在温度和体积参数空间中，通过对Born-Infeld AdS黑洞的相变（包括标准和重入相变）的研究，研究了该黑洞的微观结构.我们发现导致标准和重入相变的黑洞的微观结构在本质上是不同的。标准相变的特征在于典型的RN-AdS微观结构。在这种情况下，小黑洞相具有占主导地位的排斥相互作用的低温情况下。有趣的是，在重入相变，显示系统在特定的$b$值的压力范围内，在微观结构中的相互作用的主导吸引力的性质被保存。我们的结果表明，在重入相变的情况下，中间黑洞的行为像玻色子气体，在标准相变的情况下，小黑洞的行为像量子任意子气体。在这两种情况下，大的黑洞相显示出类似于玻色子气体的相互作用。临界现象是从曲率标量观察到的，包括重入相变的签名。
英文摘要：
Born-Infeld AdS black hole exhibits a reentrant phase transition for certain values of the Born-Infeld parameter $b$. This behaviour is an additional feature compared to the van der Waals like phase transition observed in charged AdS black holes. Therefore, it is worth observing the underlying microscopic origin of this reentrant phase transition. Depending on the value of the parameter $b$, the black hole system has four different cases: no phase transition, a reentrant phase transition with two scenarios, or a van der Waals-like (standard) phase transition. In this article, by employing a novel Ruppeiner geometry method in the parameter space of temperature and volume, we investigate the microstructure of Born-Infeld AdS black hole via the phase transition study, which includes standard and reentrant phase transition. We find that the microstructures of the black hole that lead to standard and reentrant phase transitions are distinct in nature. The standard phase transition is characterised by the typical RN-AdS microstructure. In this case, the small black hole phase has a dominant repulsive interaction for the low temperature case. Interestingly, during the reentrant phase transition, displayed by the system in a range of pressures for specific $b$ values, the dominant attractive nature of interaction in the microstructure is preserved. Our results suggest that in the reentrant phase transition case, the intermediate black holes behave like a bosonic gas, and in the standard phase transition case the small black holes behave like a quantum anyon gas. In both cases, the large black hole phase displays an interaction similar to the bosonic gas. The critical phenomenon is observed from the curvature scalar, including the signature of the reentrant phase transition.
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