论文标题
五维带电的高斯 - 巴网 - 在大规范合奏中的黑洞的相变和微观结构
Phase transition and microstructures of five-dimensional charged Gauss-Bonnet-AdS black holes in the grand canonical ensemble
论文作者
论文摘要
在本文中，我们研究了小型黑洞相变，并为大规范合奏中的五维带电的高斯 - 高斯 - ads黑洞构建了ruppeiner几何形状。通过使用同等的面积法，我们获得了小黑洞和大型黑洞的分析共存曲线。然后检查相图。我们还计算了在小型相过渡过程中热力学体积的变化，这表明黑洞微结构之间存在突然的变化。还计算了相应的归一化标态曲率。与标量曲率的经验观察结合在一起，我们发现，对于低电势，有吸引力的相互作用在微观结构之间占主导地位，而高电势会产生排斥相互作用。在减少的参数空间中，我们观察到仅当排除共存区域时允许有吸引力的相互作用。归一化标态曲率还接受了关键指数2和通用常数$ - \ frac {1} {8} $。特别是，归一化标态曲率的值沿着小黑洞曲线和大型黑洞曲线保持不变。因此，在大规范的合奏中，相互作用可以在黑洞微结构变化的相变时保持恒定。这些结果揭示了高斯重力中带电的广告黑洞的有趣微观结构。
In this paper, we study the small-large black hole phase transition and construct the Ruppeiner geometry for the five-dimensional charged Gauss-Bonnet-AdS black hole in the grand canonical ensemble. By making use of the equal area law, we obtain the analytical coexistence curve of the small and large black holes. Then the phase diagrams are examined. We also calculate the change of the thermodynamic volume during the small-large phase transition, which indicates that there exists a sudden change among the black hole microstructures. The corresponding normalized scalar curvature of the Ruppeiner geometry is also calculated. Combing with the empirical observation of scalar curvature, we find that for low electric potential, the attractive interaction dominates among the microstructures, while a high electric potential produces repulsive interactions. In the reduced parameter space, we observe that only attractive interaction is allowed when the coexistence region is excluded. The normalized scalar curvature also admits a critical exponent 2 and a universal constant $-\frac{1}{8}$. In particular, the value of the normalized scalar curvature keeps the same along the coexistence small and large black hole curves. So in the grand canonical ensemble, the interaction can keep constant at the phase transition where the black hole microstructures change. These results disclose the intriguing microstructures for the charged AdS black hole in the Gauss-Bonnet gravity.
