New Phase Transition Related to the Black Hole's Topological Charge
New Phase Transition Related to the Black Hole's Topological Charge
复制标题
与黑洞拓扑电荷相关的新相变
DOI：
10.1155/2019/8270265
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发表时间：
2019
影响因子：
1.7
通讯作者：
Xu Xiao-Bao
中科院分区：
文献类型：
--
作者：
Lan Shan-Quan;Li Gu-Qiang;Mo Jie-Xiong;Xu Xiao-Bao
The topological chargeϵof AdS black hole is introduced by Tian et al. in their papers, where a complete thermodynamic first law is obtained. In this paper, we investigate a new phase transition related to the topological charge in Einstein‐Maxwell theory. Firstly, we derive the explicit solutions corresponding to the divergence of specific heatCϵand determine the phase transition critical point. Secondly, theT−rcurve andT−Scurve are investigated and they exhibit an interesting van der Waals system’s behavior. Critical physical quantities are also obtained which are consistent with those derived from the specific heat analysis. Thirdly, a van der Waals system’s swallow tail behavior is observed whenϵ>ϵcin theF−Tgraph. What is more, the analytic phase transition coexistence lines are obtained by using the Maxwell equal area law and free energy analysis, the results of which are consistent with each other.
