P–V criticality in braneworld black holes with logarithmic-corrected entropy

Abstract

In this paper, we study the effect of thermal fluctuations on the thermodynamics of braneworld black holes. Due to thermal fluctuations, the correction terms will produce various thermodynamical quantities such as enthalpy, entropy and specific heats. We develop the canonical and grand canonical ensembles in the presence of corrected entropy and examine the phase transition of braneworld black holes. It is observed that the braneworld black holes show more stability by utilizing the logarithmic-corrected entropy. Finally, we show that braneworld black holes represent a holographic dual of van der Waals fluid. We utilize logarithmic-corrected entropy and demonstrate the validity of the holographic picture. P–V criticality, critical behaviors and stability of braneworld black holes are also discussed.