巨正则系综中具有$F^{αβ}F^{γλ}R_{αγ}R_{βλ}$耦合的AdS黑洞的热力学拓扑
Thermodynamic topology of AdS black holes with $F^{αβ}F^{γλ}R_{αγ}R_{βλ}$ coupling in the grand canonical ensemble
- Ayatollah Boroujerdi University（阿亚图拉·布卢杰迪大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究巨正则系综中具有非最小规范-曲率耦合的AdS黑洞，发现丰富的相结构，并利用绕数拓扑分析揭示分支重排可在不改变全局拓扑类的情况下发生，补充了常规临界性判据。
AI中文摘要：
我们在巨正则系综中研究了具有非最小规范-曲率耦合的带电AdS黑洞的热力学和拓扑相结构。在非最小耦合的微扰处理下，我们发现随着电势的变化，系统呈现出丰富的相结构，包括几种不同的临界行为区域、一个双临界区域，以及一个常规临界性消失的区域。我们通过基于热力学矢量场绕数的拓扑描述，对常规热力学分析进行了补充。所得的$r_h$-$\ au$图表明，黑洞分支的排序和形态对压力和离壳逆温度均敏感，在不同参数范围内出现单调、不连通、S形和尖点状结构。值得注意的是，这些解分支的实质性重排可以在不改变全局绕数的情况下发生。特别是，在超出常规临界性范围后，系统仍保持在$W=+1$拓扑类中，之后才最终进入$W=0$扇区。我们的结果表明，热力学拓扑提供了常规局部临界性判据所无法捕捉的补充性全局信息。
英文摘要：
We investigate the thermodynamic and topological phase structure of charged AdS black holes with a nonminimal gauge--curvature coupling in the grand canonical ensemble. In the minimal-coupling limit $ε=0$, the system exhibits only Hawking--Page-like behavior and does not possess van der Waals criticality. Working perturbatively in the nonminimal coupling, we find that the $ε\neq0$ interaction generates a rich phase structure as the electric potential is varied, including several distinct regimes of critical behavior, a double-critical region, and a regime where conventional criticality disappears. We complement the conventional thermodynamic analysis with a topological description based on the winding number of the thermodynamic vector field. The resulting $r_h$--$τ$ diagrams reveal that the ordering and morphology of the black-hole branches depend sensitively on both the pressure and the off-shell inverse temperature, with monotonic, disconnected, S-shaped, and cusp-like structures appearing in different parameter ranges. Remarkably, these substantial rearrangements of the solution branches can occur without changing the global winding number. In particular, the system remains in the $W=+1$ topological class beyond the range of conventional criticality, before eventually entering a $W=0$ sector. Our results demonstrate that thermodynamic topology provides complementary global information that is not captured by conventional local criticality criteria alone.
