AI 中文总结
本研究应用段氏拓扑流φ-映射理论，结合Rényi熵形式主义，分析带电修正AdS黑洞在三种系综中的热力学拓扑特征，明确了各系综的拓扑荷与产生/湮灭点情况。
AI 中文摘要
本研究应用段氏拓扑流φ-映射理论，结合Rényi熵形式主义，研究一种新提出的带电修正AdS黑洞，考察其在正则系综、混合系综和巨正则系综中的热力学性质。正则系综中固定电荷和磁荷，混合系综则包含电势和磁势，而巨正则系综仅使用这些势以保证一致性。首先，我们通过确定各系综中的临界点来计算拓扑荷；在正则系综和混合系综中，均识别到一个拓扑荷为-1的常规临界点。随后，我们将AdS regime中的黑洞区域建模为热力学空间中的拓扑缺陷，并通过计算这些缺陷位置的绕数分析其局部和全局拓扑。有趣的是，在Rényi熵框架下，正则系综和混合系综表现出完全相同的黑洞拓扑，各自总拓扑荷为1。最后，我们根据产生/湮灭点的存在情况对正则、混合和巨正则系综进行表征：正则系综有1个此类点，混合系综有1个负的此类点，巨正则系综则无此类点。
英文摘要
This study applies Duan's topological current $ϕ$-mapping theory to investigate a newly proposed charged modified AdS black hole using the Rényi entropy formalism, examining its thermodynamic properties across the canonical, mixed, and grand canonical ensembles.} Electric and magnetic charges are fixed in the canonical ensemble, whereas the mixed ensemble incorporates electric and magnetic potentials. The grand canonical ensemble, meanwhile, ensures consistency by employing these potentials exclusively. Initially, we compute topological charges by identifying critical points in each ensemble. In both the canonical and mixed ensembles, we identify a conventional critical point with a topological charge of $-1$. We then model the black hole's domain in the AdS regime as a topological defect in thermodynamic space and analyze its local and global topology by calculating the winding numbers at these defect locations. {Interestingly, the canonical and mixed ensembles exhibit identical black hole topologies, each possessing a total topological charge of $1$ within the framework of the Rényi entropy.} Finally, we characterize the canonical, mixed, and grand canonical ensembles based on the presence of generation/annihilation points: the canonical ensemble has one such point, the mixed ensemble has a negative one, and the grand canonical ensemble has none.
Comments18 pages, 17 captioned figures, published in Chin. J. Phys
Journal refChin. J. Phys. 96 (2025) 1272-1288
DOI：10.1016/j.cjph.2025.03.022
