Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole

Abstract

In this paper, we analytically study the phase structure and construct the Ruppeiner geometry in the extended phase space for the five-dimensional neutral Gauss-Bonnet AdS black hole. Through calculating the scalar curvature of the Ruppeiner geometry and combining the phase transition, we show that the attractive interaction is dominant in the microstructure of the black hole system. More significantly, there is an intriguing property that the normalized scalar curvature has the same expression for the saturated small and large black hole curves. This implies that although the microstructure is different before and after the small-large black hole phase transition, the interaction between the microscopic constituents keeps unchanged. These results are quite valuable on further understanding the microstructure of the AdS black hole in modified gravity.

12 pages, 5 figures, and 1 table

References in corpus (7)

• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• Superfluid Black Holes
• Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
• Isolated critical point from Lovelock gravity
• Critical behaviour and microscopic structure of charged AdS black holes via an alternative phase space
• Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity

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• Ruppeiner geometry, P-V criticality and interacting microstructures of black holes in dRGT massive gravity
• Connections between entropy surface density and microscopic property in black holes