标题： 限制相空间的Einstein-幂Yang-Mills AdS黑洞热力学 显示英文标题

标题： Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS black hole

摘要： 我们研究了爱因斯坦-功率-杨-米尔斯（Einstein-Power-Yang-Mills）带AdS的黑洞热力学，这是在规范-引力对偶框架下进行的。 在此框架下，牛顿引力常数和宇宙学常数在系统中发生变化。 我们将热力学第一定律重写为一种更扩展的形式，其中包含了对偶共形场论的压力和中心电荷，即受限相变公式。 出现了一种新的现象：压力的对偶量是有效体积，而不是几何体积。 这导致了固定中心电荷情况下这一系统的Van der Waals型相变呈现出一种新行为：超临界相变。 从Ehrenfest方案的角度，我们检查了EPYM AdS黑洞的二阶相变。 此外，还研究了非线性杨-米尔斯参数对这些热力学性质的影响。 显示英文摘要

摘要： We consider the thermodynamics of the Einstein-Power-Yang-Mills AdS black holes in the context of the gauge-gravity duality. Under this framework, the Newton's gravitational constant and the cosmological constant are varied in the system. We rewrite the thermodynamical first law in a more extended form containing both the pressure and the central charge of the dual conformal field theory, i.e., the restricted phase transition formula. A novel phenomena arises: the dual quantity of pressure is the effective volume, not the geometric one. That is leading to a new behavior of the Van de Waals-like phase transition for this system with the fixed central charge: the supercritical phase transition. From the Ehrenfest's scheme perspective, we check out the second-order phase transition of the EPYM AdS black hole. Furthermore the effect of non-linear Yang-Mills parameter on these thermodynamical properties is also investigated.