Kong Xiangqing, Wang Tao, Gao Zeyuan, Zhao Liu
School of Physics, Nankai University, Tianjin 300071, China.
Entropy (Basel). 2022 Aug 16;24(8):1131. doi: 10.3390/e24081131.
The recently proposed restricted phase space thermodynamics is shown to be applicable to a large class of higher dimensional higher curvature gravity models coupled to Maxwell field, which are known as black hole scan models and are labeled by the spacetime dimension and the highest order of the Lanczos-Lovelock densities appearing in the action. Three typical example cases with (d,k)=(5,1),(5,2) and (6,2) are chosen as example cases and studied in some detail. These cases are representatives of Einstein-Hilbert, Chern-Simons and Born-Infield like gravity models. Our study indicates that the Einstein-Hilbert and Born-Infield like gravity models have similar thermodynamic behaviors, e.g., the existence of isocharge T-S phase transitions with the same critical exponents, the existence of isovoltage T-S transitions and the Hawking-Page like transitions, and the similar high temperature asymptotic behaviors for the isocharge heat capacities, etc. However, the Chern-Simons like (5,2)-model behaves quite differently. Neither isocharge nor isovoltage T-S transitions could occur and no Hawking-Page like transition is allowed. This seems to indicate that the Einstein-Hilbert and Born-Infield like models belong to the same universality class while the Chern-Simons like models do not.
最近提出的受限相空间热力学被证明适用于一大类与麦克斯韦场耦合的高维高曲率引力模型，这些模型被称为黑洞扫描模型，并由时空维度和作用量中出现的兰佐斯 - 洛夫洛克密度的最高阶数来标记。选择三个典型例子，即(d,k) = (5,1)、(5,2)和(6,2)的情况进行详细研究。这些情况分别代表爱因斯坦 - 希尔伯特、陈 - 西蒙斯和类似博恩 - 英费尔德的引力模型。我们的研究表明，爱因斯坦 - 希尔伯特和类似博恩 - 英费尔德的引力模型具有相似的热力学行为，例如，存在具有相同临界指数的等电荷T - S相变、等电压T - S相变以及类似霍金 - 佩奇的相变，并且等电荷热容量具有相似的高温渐近行为等。然而，类似陈 - 西蒙斯的(5,2)模型表现得非常不同。既不会发生等电荷也不会发生等电压T - S相变，并且不允许有类似霍金 - 佩奇的相变。这似乎表明爱因斯坦 - 希尔伯特和类似博恩 - 英费尔德的模型属于同一普适类，而类似陈 - 西蒙斯的模型则不属于。
