标题： 探测准拓扑黑洞中的相变和微观相互作用 显示英文标题

标题： Probing phase transitions and microscopic interactions in quasi-topological black holes

摘要： 在本文中，我们通过计算Ruppeiner标量曲率R来研究四维准拓扑黑洞的热力学几何，R作为描述黑洞微观结构之间相互作用性质的经验工具。 在四维情况下，我们在广义准拓扑引力框架内写出新的黑洞解，并通过一个基本的p-形式场进行扩展。 温度、熵和热力学体积通过扩展的第一定律显式表达。 通过计算R，揭示了微观结构之间的相互作用性质，其中正曲率表示排斥主导的相互作用，负曲率表示吸引主导的相互作用。 我们的方法利用R的发散性和符号变化来识别临界点和相变。 此外，我们的分析揭示了一种显著简化的热力学行为，曲率R的单个零交叉点标志着二阶相变，并直接揭示了潜在的微观结构相互作用。 显示英文摘要

摘要： In this paper, we examine the thermodynamic geometry of four-dimensional quasi-topological black holes by computing the Ruppeiner scalar curvature R which serves as an empirical tool to describe the nature of interactions among black hole microstructures. In four dimensions, we write novel black hole solutions within the framework of generalized quasi-topological gravity, extended through a fundamental p-form field. Temperature, entropy, and thermodynamic volume are explicitly expressed using the extended first law. The nature of the interactions between the microstructure is then revealed by computing R, where positive curvature indicates repulsion dominant interactions and negative curvature indicates the dominance of attraction. Our approach uses divergences and sign changing nature of R to identify critical points and phase transitions. Further, our analysis reveals a notably streamlined thermodynamic behavior, a single zero-crossing of curvature R, marking a second-order phase transition and offering direct insight into the underlying microstructure interactions.