标题： 分形时空效应对带电AdS黑洞热力学的影响 显示英文标题

标题： Fractal Spacetime Effects on Charged AdS Black Hole Thermodynamics

摘要： 本文研究了由时空泡沫引起的新兴热力学现象及其对黑洞行为的影响，这在 Barrow 模型中有所描述。在此框架下，小尺度时空结构使用分形几何建模，这意味着由于量子引力效应引起的量子变形，黑洞表面表现出分形结构。我们的分析基于扩展相空间形式主义，揭示了黑洞熵的分形校正显著修改了带电AdS黑洞的状态方程、临界参数和相变行为。分形参数的增加导致更高的临界压力和温度，在最大分形变形时发散。此外，虽然分形结构对低熵的小黑洞影响可以忽略不计，但它明显影响中型和大型事件视界黑洞的热演化。值得注意的是，对于大型黑洞，时空的分形性质表现为对蒸发的阻力，有效减缓了它们的蒸发过程。此外，分形修正的影响还反映在焦耳-汤姆孙膨胀中，它修改了压力-温度平面上的冷却和加热区域。这些发现为量子引力效应与宏观黑洞热力学之间的相互作用提供了新的见解。 显示英文摘要

摘要： In this paper, we investigate the emergent thermodynamic phenomena arising from spacetime foam and its impact on black hole behavior, as described by the Barrow model. In this framework, the structure of spacetime at small scales is modeled using fractal geometry, implying that black hole surfaces exhibit a fractal structure due to quantum deformations induced by quantum gravity effects. Our analysis, performed within the extended phase space formalism, reveals that the fractal correction to black hole entropy significantly modifies the equation of state, critical parameters, and phase transition behavior of charged AdS black holes. An increase in the fractal parameter leads to higher critical pressure and temperature, which diverge at maximal fractal deformation. Moreover, while the fractal structure has a negligible effect on small black holes with low entropy, it clearly influences the thermal evolution of medium and large event horizon black holes. Notably, for large black holes, the fractal nature of spacetime manifests as a resistance to evaporation, effectively slowing down their evaporation process. Additionally, the impact of fractal corrections is further reflected in the Joule-Thomson expansion, where it modifies the cooling and heating regions in the pressure-temperature plane. These findings provide new insights into the interplay between quantum gravitational effects and macroscopic black hole thermodynamics.