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Reentrant phase transition with a single critical point of the Hayward-AdS black hole

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Abstract

The reentrant phase transition (RPT) is composed of at least two phase transition, which has previously been observed in the Condensed Matter Theory/systems, and now has been found with a renewal interest in black hole thermodynamics. For the RPT, there exist always two and several critical points; while the first order phase transition always corresponds to a single critical point. In this paper, we present a black hole thermodynamical systems with a single critical point possessing the RPT, other than a first order phase transition. Concretely, we focus on the Hayward-AdS black hole, i.e. the AdS black hole in the gravity with a nonlinear electrodynamics, consider its extended thermodynamics, and investigate its critical phenomena and phase structure, especially the RPT in detail. The number of critical points and the types of phase transition depend on the strength constant of the nonlinear electromagnetic field. We introduce an unexpected RPT with a single physical critical point for the first time. We also present all distinct and physical critical RPT points in the phase diagrams.

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Acknowledgements

We are grateful to the anonymous referees for useful suggestions and comments which considerably improved the quality of the manuscript. We would like to thank Bin Zhu and Yuan-Zhang Cui for useful conversations. Wei Xu was supported by the National Natural Science Foundation of China (NSFC) Under Grant Nos. 11505065, 11374330 and 91636111, and the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan).

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  1. School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, China

    Yi-Peng Liu, Hui-Ming Cao & Wei Xu

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  1. Yi-Peng Liu
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Liu, YP., Cao, HM. & Xu, W. Reentrant phase transition with a single critical point of the Hayward-AdS black hole. Gen Relativ Gravit 54, 5 (2022). https://doi.org/10.1007/s10714-021-02886-0

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