论文标题
全球单极对带电广告热力学相变的影响黑洞
Effects of a global monopole on thermodynamic phase transition of the charged AdS black hole
论文作者
论文摘要
在本文中，我们通过Gibbs自由能景观研究了带有全球单子的充电ADS黑洞（BH）热力学相变（PT）的动力学性质，并揭示了全球单极对ADS BH热力学PT动力学的影响。首先，我们简要回顾了带有全球单极的充电ADS BH的热力学。然后，我们引入了吉布斯自由能景观，以研究BH状态的热力学稳定性。由于热波动，小黑洞（SBH）状态可以转移到大黑洞（LBH）状态，反之亦然。我们将Fokker-Planck方程与反射边界条件一起使用，以分别有和没有全局单极的情况来研究BH状态的概率演变。我们发现，对于SBH和LBH国家，全球单极可以减慢BH国家的发展。此外，我们获得了第一个通道时间与单极参数$η$之间的关系。结果表明，随着单极参数$η$的增加，对于SBH和LBH状态，平均第一个通行时间将更长。
In this paper, we study the dynamical properties of thermodynamic phase transition (PT) for the charged AdS black hole (BH) with a global monopole via the Gibbs free energy landscape and reveal the effects of a global monopole on the kinetics of the AdS BH thermodynamic PT. First, we briefly review the thermodynamics of the charged AdS BH with a global monopole. Then, we introduce the Gibbs free energy landscape to study the thermodynamic stability of the BH state. Because of thermal fluctuations, the small black hole (SBH) state can transit to the large black hole (LBH) state, and vice versa. We use the Fokker-Planck equation with the reflecting boundary condition to study the probability evolution of the BH state with and without a global monopole separately. We find that for both the SBH and LBH states, the global monopole could slow down the evolution of the BH state. In addition, we obtain the relationship between the first passage time and the monopole parameter $η$. The result shows that as the monopole parameter $η$ increases, the mean first passage time will be longer for both the SBH and LBH states.
