标题： 相变信号在常规AdS黑洞的准正则模中隐藏 显示英文标题

标题： Signal of phase transition hidden in quasinormal modes of regular AdS black holes

摘要： 我们讨论了热力学相变与正则AdS黑洞中的准正则模态之间的内在关系，特别是Bardeen和Hayward AdS类黑洞。为此，我们通过Horowitz-Hubeny方法计算了小黑洞和大黑洞周围无质量标量场扰动的准正则模态。通过对Bardeen和Hayward AdS黑洞的等压和等温相变进行详细研究，我们观察到在小黑洞和大黑洞相变点附近准正则模态出现了显著变化，并且这对应于吉布斯自由能和压力平面中的吞尾结构。此外，通过分析小黑洞和大黑洞相共存曲线上的黑洞演化，我们也观察到了准正则模态的显著变化。这种现象证实了准正则模态谱中的相变信号，可以理解为动力学谱中隐藏的热力学信号。 显示英文摘要

摘要： We discuss the intrinsic relations between thermodynamic phase transitions and quasinormal modes in regular AdS black holes, specifically in the Bardeen and Hayward AdS classes. To this end, we calculate the quasinormal modes of massless scalar field perturbations around small and large black holes via the Horowitz-Hubeny method. By investigating the isobaric and isothermal phase transitions for Bardeen and Hayward AdS black holes in detail, we observe that a dramatic change of quasinormal modes appears near the phase transition point of small and large black holes, and that it corresponds to the swallow tail structure in the plane of Gibbs free energy and pressure. Moreover, by analyzing the evolution of black holes along the coexistence curve of small and large black hole phases, we also observe the dramatic change in quasinormal modes. Such a phenomenon confirms the signal of the phase transition in the quasinormal mode spectrum, which can be understood as a thermodynamic signal hidden in the dynamical spectrum.