Thermodynamics and Van der Waals Phase Transition of Charged Black Holes in Flat Space via Rényi Statistics

Abstract

The phase structure and critical phenomena of the 3+1 dimensional charged black holes in asymptotically flat spacetime are investigated in terms of thermodynamic properties within the Rényi statistics. With this approach as the non-extensive parameter above zero, we find that the charged black hole can be in thermodynamic equilibrium with surrounding thermal radiation, and have a Hawking-Page phase transition in the same way in the case of AdS charged black hole. This gives more evidence supporting the proposal that there exists an equivalence between the black hole thermodynamics in asymptotically flat spacetime via Rényi statistics and that in asymptotically AdS spacetime via Gibbs-Boltzmann statistics, proposed by Czinner et al. However, the present work also provides another aspect of supporting evidence through exploring the extended phase space within the Rényi statistics. Working on a modified version of Smarr formula, the thermodynamic pressure $P$ and volume $v$ of a charged black hole are found to be related to the non-extensive parameter. The resulting $P-v$ diagram indicates that the thermodynamics of charged black holes in asymptotically flat spacetime via Rényi statistics has the Van der Waals phase structure, equivalent to that in asymptotically AdS spacetime via Gibbs-Boltzmann statistics.

References in corpus (1)

• Zeroth Law compatibility of non-additive thermodynamics

Cited by in corpus (32)

• Area-law versus Rényi and Tsallis black hole entropies
• Modified cosmology from the thermodynamics of apparent horizon
• Alternative entropies and consistent black hole thermodynamics
• Effective thermodynamical system of Schwarzschild-de Sitter black holes from Rényi statistics
• Thermodynamic Topology and Phase Space Analysis of AdS Black Holes Through Non-Extensive Entropy Perspectives
• Solid/Liquid Phase Transition and Heat Engine in Asymptotically Flat Schwarzschild Black Hole via the Rényi Extended Phase Space Approach
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• Equilibrium Temperature for Black Holes with Nonextensive Entropy
• Topological Insights into Black Hole Thermodynamics: Non-Extensive Entropy in CFT framework
• Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
• Thermodynamic topology of Kerr-Sen black holes via Rényi statistics
• Non-extensive Entropy and Holographic Thermodynamics: Topological Insights
• Rényi Topology of Charged-flat Black Hole: Hawking-Page and Van-der-Waals Phase Transitions
• Topology of black hole thermodynamics via Rényi statistics
• On Rényi universality formula of charged flat black holes from Hawking-Page phase transition
• Thermodynamics of Black Holes with Rényi Entropy from Classical Gravity
• Rényi Holographic Dark Energy
• On some phase equilibrium features of charged black holes in flat spacetime via Rényi statistics
• The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes
• AdS to dS phase transition mediated by thermalon in Einstein-Gauss-Bonnet gravity from Renyi statistics
• Black Hole Thermodynamics via Tsallis Statistical Mechanics
• Quantum corrections to the thermodynamics and phase transition of a black hole surrounded by a cavity in the extended phase space
• Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory
• Testing black holes with cosmological constant in Einstein-bumblebee gravity through the black hole shadow using EHT data and deflection angle
• Riemann Surfaces and Winding Numbers of Rényi Phase Structure of Charged-Flat Black Holes
• Hawking-Rényi black hole thermodynamics, Kiselev solution, and cosmic censorship
• Thermodynamic Behavior of a 4D Nonminimal Maxwell-AdS Black Hole
• $q$-Equilibrium of Gas in Spacetime of Multi-horizon Black Holes
• Gravitational decoupling and regular hairy black holes: Geodesic stability, quasinormal modes, and thermodynamic properties
• Hawking-Rényi thermodynamics of rotating black holes from locally Kiselev-type behavior
• Modified Cosmology from Mass-to-Horizon Relation: Background Evolution
• Noether Charge, Thermodynamics and Phase Transition of a Black Hole in the Schwarzschild-Anti-de Sitter-Beltrami spacetime