Thermodynamic geometry of the RN-AdS black hole and non-local observables

Bin Wu; Chao Wang; Wen Li Yang; Zhen Ming Xu

Thermodynamic geometry of the RN-AdS black hole and non-local observables

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arxiv 2210.08718 v1 pith:IU4SGAZB submitted 2022-10-17 gr-qc hep-th

Chao Wang , Bin Wu , Zhen Ming Xu , Wen Li Yang This is my paper · ORCID

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In this paper, we show the relation between the thermodynamic geometry of a four-dimensional Reissner-Nordstrom-AdS (RN-AdS) black hole and non-local observables in boundary field theory. Instead of introducing the critical point associating with the black hole charge to nondimensionalize the thermodynamics parameters, we use the cosmological constant to rescale these variables, so that a universal specific equation of state of the black hole is obtained. Further, the correspondence between thermodynamic properties of the black hole and the oscillating behaviors of the non-local observables has been studied numerically. Our results indicate that the study of the dual field theory will reveal to us the thermodynamic geometry of the AdS black hole.

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Restricted Phase Space Thermodynamics of 4D Dyonic AdS Black Holes: Insights from Kaniadakis Statistics and Emergence of Superfluid $\lambda$-Phase Transition
hep-th 2024-12 conditional novelty 4.0 of 10

Using Kaniadakis entropy in restricted phase space thermodynamics, the authors report a superfluid-lambda-like phase transition and an ultra-large unstable black hole branch for 4D dyonic AdS black holes.

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