论文标题

腔中Kerr-Newman黑洞的相变和热力学几何形状

Phase transitions and thermodynamic geometry of a Kerr-Newman black hole in a cavity

论文作者

Huang, Yuchen, Tao, Jun, Wang, Peng, Ying, Shuxuan

论文摘要

被放置在腔体中是达到黑洞热力学平衡的有效方法。我们研究了一个腔中的Kerr-Newman黑洞,并将其与两个降低的病例进行比较,即腔中的RN黑洞和一个腔中的Kerr黑洞。我们从哈密顿量获得了准本地能量,并因此构建了热力学的第一定律。在规范的合奏中,这些黑洞可能会经历类似范德华的相变,这与广告空间非常相似。我们进一步研究了黑洞的热力学几何形状,这是诊断热力学系统微观相互作用的强大工具。我们的结果表明,在腔体中,尽管这些黑洞的相结构相似,但它们的热力学几何形状表现出很强的差异,这意味着黑洞的微观结构对其状态敏感。

Being placed in a cavity is an effective way of reaching thermodynamic equilibrium for black holes. We investigate a Kerr-Newman black hole in a cavity as well as compare it with two reduced cases, i.e., a RN black hole in a cavity and a Kerr black hole in a cavity. We derive the quasi-local energy from the Hamiltonian, and construct the first law of thermodynamics accordingly. In a canonical ensemble, these black holes could undergo a van der Waals-like phase transition, which is very similar to that in AdS space. We further investigate the black holes' thermodynamic geometry, which is a powerful tool to diagnose microscopic interactions of a thermodynamic system. Our results show that in a cavity, although phase structures of these black holes are similar, their thermodynamic geometry show strong dissimilarities, implying that the microstructure of a black hole is sensitive to its states.

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