van der Waals fluid and charged AdS black hole in the Landau theory

Abstract

By introducing the general construction of Landau functional of the van der Waals system and charged AdS black hole system, we have preliminarily realized the Landau continuous phase transition theory in black hole thermodynamics. The results show that the Landau functional constructed in present paper can directly reflect the physical process of black hole phase transition. Specifically, the splitting of the global minimum of the Landau functional corresponds to the second-order phase transition of the black hole, and the transformation of the global minimum reflects the first-order phase transition of the black hole.

arXiv comment10 pages, 5 figures; v2:add References and some comments; v3: clarifications added; v4: match published version

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• Topology of black hole thermodynamics via Rényi statistics
• Phase Transition Dynamics of Black Holes Influenced by Kaniadakis and Barrow Statistics
• Thermodynamic Properties of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity
• Generalized Maxwell equal area law and black holes in complex free energy
• Thermodynamic phase transition and winding number for the third-order Lovelock black hole
• Magnetic black holes within Einstein-AdS gravity coupled to nonlinear electrodynamics, extended phase space thermodynamics and Joule-Thomson expansion
• Kramer's Escape Rate and Phase Transition Dynamics in AdS Black Holes
• Born-Infeld-AdS black hole phase structure: Landau theory and free energy landscape approaches
• The Kramers escape rate of phase transitions for the 6-dimensional Gauss-Bonnet AdS black hole with triple phases
• Out-of-Time-Order-Correlation in perturbed quantum wells