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arXiv 1906.03334gr-qchep-th
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带电Born-Infeld-AdS黑洞的光子球和重入相变

Photon sphere and reentrant phase transition of charged Born-Infeld-AdS black holes

Yu-Meng Xu, Hui-Min Wang, Yu-Xiao Liu, Shao-Wen Wei

备注：
21 pages, 16 figures, and 3 tables. A new seciton for the higher dimensional black hole cases is added
发表信息：
Phys. Rev. D 100, 104044 (2019)
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摘要：

本文将光子球与热力学相变，特别是重入相变之间关系的研究推广到这个黑洞背景。根据热力学临界点的个数，将黑洞系统分为四种不同Born-Infeld参数b值的情况，其中黑洞系统可以不发生相变，也可以发生重入相变和类范德华相变.对于这些不同的情况，我们在压力-温度图和温度-比容图中得到了相应的相结构。这些案例之间的微小差异清晰可见。另一方面，利用光子径向运动的有效势，计算了光子球的半径rps和最小碰撞参量ups。对于不同的情况，rps和ups被发现有不同的行为。特别是在一定压力下，如果存在重入相变，随着rps或ups的增加，温度呈现出降低-升高-降低-升高的变化规律。当温度一定时，压力呈现出先增大后减小再增大后减小的变化规律。这些行为与范德华类相变的行为有很大的不同。在临界点附近，黑洞相变过程中rps和ups的变化证实了一个普适的临界指数12。因此，所有的结果都表明，对于带电Born-Infeld-AdS黑洞，不仅类范德华相变可以通过光子球反射，而且可重入相变也可以通过光子球反射.

英文摘要：

In this paper, we extend the study of the relationship between the photon sphere and the thermodynamic phase transition, especially the reentrant phase transition, to this black hole background. According to the number of the thermodynamic critical points, the black hole systems are divided into four cases with different values of Born-Infeld parameter b, where the black hole systems can have no phase transition, reentrant phase transition, or Van der Waals-like phase transition. For these different cases, we obtain the corresponding phase structures in pressure-temperature diagram and temperature-specific volume diagram. The tiny differences between these cases are clearly displayed. On the other hand, the radius rps and the minimal impact parameter ups of the photon sphere are calculated via the effective potential of the radial motion of photons. For different cases, rps and ups are found to have different behaviors. In particular, with the increase of rps or ups, the temperature possesses a decrease-increase-decrease-increase behavior for fixed pressure if there exists the reentrant phase transition. While for fixed temperature, the pressure will show an increase-decrease-increase-decrease behavior instead. These behaviors are quite different from that of the Van der Waals-like phase transition. Near the critical point, the changes of rps and ups among the black hole phase transition confirm an universal critical exponent 12. Therefore, all the results indicate that, for the charged Born-Infeld-AdS black holes, not only the Van der Waals-like phase transition, but also the reentrant phase transition can be reflected through the photon sphere.

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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