论文标题
广告相变的热力学曲率黑洞
Thermodynamics curvature in phase transitions for AdS black hole
论文作者
论文摘要
我们研究了霍金页相变的热力学曲率和广告黑洞的二阶相变。结果表明，热力学曲率在这两种不同的相跃迁中具有相同的行为。具体而言，霍金 - 页面过渡中的热力学曲率是霍金 - 页面过渡温度与时空尺寸相关的指数的功率函数，或者与霍金 - 页面过渡熵的倒数始终成比例。对于二阶相变的热力学曲率，结论相似。更具启发性的结果是，沿两个不同相变的热力学弯曲的比率趋向于时空数量无限的限制的自然常数。通用和新颖的结果在大尺寸范式中的ADS黑洞的二阶相变和二阶相变之间提供了本质差异。
We investigate the thermodynamic curvature in the Hawking-Page phase transition and the second-order phase transition of the AdS black hole. It is shown that the thermodynamic curvature has the same behavior in these two different phase transitions. Specifically, the thermodynamic curvature in the Hawking-Page phase transition is the power function of the Hawking-Page phase transition temperature with exponent related to the spacetime dimension, or is invariably proportional to the reciprocal of the Hawking-Page phase transition entropy. For the thermodynamic curvature in the second-order phase transition, the conclusion is similar. The more enlightening result is that the ratio of thermodynamic curvatures along the two different phase transitions tends to the natural constant in the limit that the number of spacetime dimensions is infinite. The universal and novel result provides an essential difference between the Hawking-Page phase transition and the second-order phase transition of the AdS black hole in the large dimension paradigm.
