论文标题
在替代相空间中带电广告的黑洞的分析相结构和热力学曲率
Analytic phase structures and thermodynamic curvature for the charged AdS black hole in alternative phase space
论文作者
论文摘要
在本文中，我们访问了新相位空间中带电广告的热力学关键性和热力学曲率。结果表明，当被带电黑洞的总电荷的平方视为热力学数量时，带电的广告黑洞还可以在没有热力压力和热力学体积的帮助下接收范德华型临界行为。基于此，我们研究了新框架中带有固定广告背景的带电广告黑洞的精细相结构。一方面，我们准确且分析地给出了带电ADS黑洞的相图结构，从而填补了通过将电荷正方形作为热力学数量的平方来处理带电Ads黑洞的相变的空白。另一方面，我们分析了两个坐标空间中黑洞的热力学曲率。在两个不同的坐标空间中获得的热力学曲率相当于彼此，也是正的。基于热力学几何形状框架下的经验结论，我们推测，当电荷正方形被视为独立的热力学数量时，带电的ADS黑洞很可能表现出其分子之间的排斥性。更重要的是，基于热力学曲率，我们在相变的临界点获得了通用指数。
In this paper, we visit the thermodynamic criticality and thermodynamic curvature of the charged AdS black hole in a new phase space. It is shown that when the square of the total charge of the charged black hole is considered as a thermodynamic quantity, the charged AdS black hole also admits an van der Waals-type critical behavior without the help of thermodynamic pressure and thermodynamic volume. Based on this, we study the fine phase structures of the charged AdS black hole with fixed AdS background in the new framework. On the one hand, we give the phase diagram structures of the charged AdS black hole accurately and analytically, which fills up the gap in dealing with the phase transition of the charged AdS black holes by taking the square of the charge as a thermodynamic quantity. On the other hand, we analyse the thermodynamic curvature of the black hole in two coordinate spaces. The thermodynamic curvatures obtained in two different coordinate spaces are equivalent to each other and are also positive. Based on an empirical conclusion under the framework of thermodynamic geometry, we speculate that when the square of charge is treated as an independent thermodynamic quantity, the charged AdS black hole is likely to present a repulsive between its molecules. More importantly, based on the thermodynamic curvature, we obtain an universal exponent at the critical point of phase transition.
