标题： 正则AdS黑洞准正规模中隐藏的相变信号 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黑洞准正规模之间的内在联系，具体集中在Bardeen和Hayward类AdS黑洞上。 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规模。 通过对Bardeen和Hayward类AdS黑洞等压和等温相变的详细研究，我们观察到小黑洞和大黑洞相变点附近准正规模发生了显著变化，并且这种变化对应于Gibbs自由能平面上的压力下的吞尾结构。 此外，通过分析沿小黑洞和大黑洞相共存曲线演化过程中黑洞的变化，我们也观察到了准正规模的显著变化。 这种现象证实了准正规模谱中相变的信号，可以理解为隐藏在动力学谱中的热力学信号。 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 with respect to 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.