爱因斯坦-高斯-博内引力中具有准拓扑电磁学的双荷AdS黑洞的热力学拓扑
Thermodynamic topology of dyonic AdS black holes with quasitopological electromagnetism in Einstein-Gauss-Bonnet gravity
AI总结：
本文研究爱因斯坦-高斯-博内背景下具有准拓扑电磁学的高维双荷AdS黑洞的热力学拓扑，发现常规临界点CP1和CP2为物理临界点，而新临界点CP3不能最小化吉布斯自由能，且耦合常数α显著影响相结构，但不同维度的黑洞总拓扑数均为1。
摘要：
在这项研究中，我们研究了爱因斯坦-高斯-博内背景下具有准拓扑电磁学的高维双荷AdS黑洞的热力学拓扑。我们首先检查了与临界点相关的拓扑电荷，发现黑洞的两个常规临界点$CP_{1},CP_{2}$是物理临界点，而新临界点$CP_{3}$缺乏最小化吉布斯自由能的能力（$α=0.5$）。观察到临界点$CP_{1}$和$CP_{2}$出现在等压曲线中温度的最大极值点，而临界点$CP_{3}$出现在温度的最小极值点。此外，新临界点处的相数呈现上升趋势，随后在常规临界点处下降。随着耦合常数的增加（$α= 1$），尽管系统有三个临界点，但只有常规的$CP_{1}$是（物理）临界点，而常规的$CP_{2}$充当相湮灭点。这意味着耦合常数$α$对相结构有显著影响。此外，我们将双荷AdS黑洞视为热力学空间中的拓扑缺陷，我们的发现表明，压力的变化可能导致系统出现不同的产生和湮灭点。然而，不同维度下黑洞的总拓扑数为$1$，系统与带电RN-AdS黑洞具有相似的拓扑分类。我们的发现为理解双荷AdS黑洞的热力学拓扑提供了关键组成部分。
英文摘要：
In this study, we investigate the thermodynamic topology of the high-dimensional dyonic AdS black holes with quasitopological electromagnetism in the Einstein-Gauss-Bonnet background. We first examine the topological charge connected to the critical point and find that the two conventional critical points $CP_{1},CP_{2}$ of the black hole are physical critical point, and the novel critical point $CP_{3}$ that lacks the capability to minimize the Gibbs free energy ($α=0.5$). The critical points $CP_{1}$ and $CP_{2}$ are observed to occur at the maximum extreme points of temperature in the isobaric curve, while the critical point $CP_{3}$, emerges at the minimum extreme points of temperature. Furthermore, the number of phases at the novel critical point exhibits an upward trend, followed by a subsequent decline at the conventional critical points. With the increase of the coupling constant ($α= 1$), although the system has three critical points, only the conventional $CP_{1}$ is a (physical) critical point, and the conventional $CP_{2}$ serves as the phase annihilation point. This means that the coupling constant $α$ has significant impact on the phase structure. Additionally, we regard dyonic AdS black holes as a topological defect within the thermodynamic space, our findings indicate that alterations in pressure can result in the system exhibiting distinct points of generation and annihilation. However, the total topological number of black holes in different dimensions is $1$, the system shares a similar topological classification as the charged RN-AdS black holes. The discovery we have made provides a crucial component in understanding the thermodynamic topology of dyonic AdS black holes.
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。
