Dynamic phase transition of charged dilaton black holes
Dynamic phase transition of charged dilaton black holes
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DOI：
10.1088/1674-1137/ac125f
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发表时间：
2021-05
影响因子：
3.6
通讯作者：
杰雄 莫;Shan-Quan Lan
中科院分区：
文献类型：
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作者：
杰雄 莫;Shan-Quan Lan
本文研究了带电膨胀黑洞的动态相变。引入了吉布斯自由能图，并对膨胀子黑洞进行了相应的计算。我们对仅受反射边界条件约束的福克-普朗克方程进行数值求解。探讨了膨胀子引力对膨胀子黑洞概率演化的影响。首先，大膨胀子黑洞和小膨胀子黑洞之间的视界半径差随着参数 的增加而增大。其次，随着 的增加，系统需要更多的时间来实现平稳分布。最后，获得的值 和 随 变化。此外，通过求解反射边界条件和吸收边界条件约束的福克-普朗克方程，研究了膨胀黑洞的首次通过过程。随着 的增加，初始峰值衰减得更慢，这也可以通过 的缓慢衰减来观察（黑洞系统在时间 t 之前尚未完成第一次通过的概率之和）。此外，发现对应于第一次通过时间分布的单峰的时间随着参数 的增加而增加。考虑到这些观察，发现膨胀场会减慢大黑洞和小黑洞之间的动态相变过程。
The dynamic phase transition of charged dilaton black holes is investigated in this paper. The Gibbs free energy landscape is introduced, and the corresponding is calculated for the dilaton black hole. We numerically solve the Fokker-Planck equation constrained by only the reflecting boundary condition. The effects of dilaton gravity on the probabilistic evolution of dilaton black holes are explored. Firstly, the horizon radius difference between a large dilaton black hole and a small dilaton black hole increases with the parameter . Secondly, with increasing , the system needs much more time to achieve a stationary distribution. Finally, the values attained for and vary with . Additionally, by resolving the Fokker-Planck equation constrained by both the reflecting boundary condition and absorbing boundary condition, we investigate the first passage process of dilaton black holes. The initial peak decays more slowly with increasing , which can also be observed via the slowing decay of (the sum of the probability of the black hole system not having completed a first passage by time t). Moreover, the time corresponding to the single peak of the first passage time distribution is found to increase with the parameter . Considering these observations, the dilaton field is found to slow down the dynamic phase transition process between a large black hole and a small black hole.