双子Taub-NUT-AdS：无约束热力学与相结构
Dyonic Taub-NUT-AdS: Unconstraint Thermodynamics and Phase Structure
AI总结：
本文扩展已有方法研究双子Taub-NUT-AdS解的热力学与相结构，发现两个可合并的临界点及其间的连续相变区域，并揭示混合系综中连续相变靠近原点的新特征。
摘要：
本文扩展了文献[adel_2]中发展的方法，以研究Taub-NUT-AdS及双子Taub-NUT-AdS解的热力学。此外，我们详细考察了双子Taub-NUT-AdS解可能的相结构。我们证明，对于这两个解，第一定律、Gibbs-Duhem关系和Smarr关系均得到满足。我们对相结构的研究揭示了一些此前未被报道的有趣特征，其中包括存在两个不同的临界点，且二者之间存在一个连续相变区域，以及将这两个临界点合并为一个点的可能性。为了分析这些相，我们同时考虑了正则系综和混合系综。这两个不同的临界点既出现在正则情形中，也出现在满足$1/2 \le ϕ_e < 1$的混合情形中。另一个有趣的情形是满足$ϕ_e \ge 1$的混合系综，此时我们只有一个临界点，但$P-T$图中的连续相变区域靠近原点，这与Reissner-Nordstrom-AdS解和Van der Waals流体中所发生的情况相反，即在后者中连续相变仅在足够低的压强和温度下才会发生！
英文摘要：
Here we extend the approach developed in \cite{adel_2} to study the thermodynamics of Taub-NUT-AdS and dyonic Taub-NUT-AdS solutions. Furthermore, we investigate in details the possible phase structures of the dyonic Taub-NUT-AdS solution. We show that the first law, Gibbs-Duhem and Smarr's relations are all satisfied for both solutions. Our study of phase structures shows some intriguing features, which were not reported before, among which the existence of two distinguished critical points with a region of continuous phase transitions in between, and the possibility of merging them into one point. To analyze these phases we consider both canonical and mixed ensembles. The two distinguished critical points occur for the canonical case as well as the mixed cases with $1/2 \le ϕ_e < 1$. Another interesting case is the mixed ensemble with $ϕ_e \ge 1$, where we have one critical point but the continuous phase transition region in the $P-T$ diagram is close to the origin, in contrast with what happens in Reissner-Nordstrom-AdS solutions and Van der Waals fluids, i.e., the continuous phase transition happens only for low enough pressures and temperatures!
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
