论文标题
Reissner-Nordström抗DE保姆的热动态相变在自由能景观上
Thermal Dynamic Phase Transition of Reissner-Nordström Anti-de Sitter Black Holes on Free Energy Landscape
论文作者
论文摘要
我们探索了基于自由能景观的Reissner-Nordström抗DE保姆（RNADS）黑洞的范德华型相变的热力学和基础动力学。我们表明，RNADS黑洞的三个分支的热力学稳定性取决于潜在的自由能景观地形。我们建议，由于热波动，大（小）rnads黑洞可能有可能切换到小（大）黑洞。在热波动下的这种状态切换过程被视为随机过程，可以用概率的fokker-planck方程来描述相关的动力学。我们通过用反射边界条件来求解fokker-planck方程来获得概率演化的时间依赖性解决方案。我们还研究了第一个段落过程，该过程描述了系统第一次进行随机过程的速度。详细研究了第一个通道时间从小（大）到大（小）黑洞的分布以及相应的平均第一个通道时间以及在不同温度下的波动。我们得出的结论是，平均第一个传递时间及其波动与通过障碍高度和温度的自由能景观形态有关。
We explore the thermodynamics and the underlying kinetics of the van der Waals type phase transition of Reissner-Nordström anti-de Sitter (RNAdS) black holes based on the free energy landscape. We show that the thermodynamic stabilities of the three branches of the RNAdS black holes are determined by the underlying free energy landscape topography. We suggest that the large (small) RNAdS black hole can have the probability to switch to the small (large) black hole due to the thermal fluctuation. Such a state switching process under the thermal fluctuation is taken as a stochastic process and the associated kinetics can be described by the probabilistic Fokker-Planck equation. We obtained the time dependent solutions for the probabilistic evolution by numerically solving Fokker-Planck equation with the reflecting boundary conditions. We also investigated the first passage process which describes how fast a system undergoes a stochastic process for the first time. The distributions of the first passage time switching from small (large) to large (small) black hole and the corresponding mean first passage time as well as its fluctuations at different temperatures are studied in detail. We conclude that the mean first passage time and its fluctuations are related to the free energy landscape topography through barrier heights and temperatures.
