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Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes

Yunqi LiuDepartment of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, ChinaDe-Cheng ZouDepartment of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, ChinaBin WangDepartment of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China
2014en
ABI

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We calculate the quasinormal modes of massless scalar perturbations around small and large four-dimensional Reissner-Nordstrom-Anti de Sitter (RN-AdS) black holes. We find a dramatic change in the slopes of quasinormal frequencies in small and large black holes near the critical point where the Van der Waals like thermodynamic phase transition happens. This further supports that the quasinormal mode can be a dynamic probe of the thermodynamic phase transition.

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