Insight into the Microstructure of FRW Universe from a $P$-$V$ Phase Transition

Abstract

The $P$-$V$ phase transition of the FRW (Friedmann-Robertson-Walker) universe with a perfect fluid has recently been investigated, revealing that the four critical exponents near the critical point are consistent with the values predicted by mean field theory. Notably, the coexistence phase of the $P$-$V$ phase transition in the FRW universe above the critical temperature, which distinguishes it from van der Waals system and most of AdS black holes system. This unique property allows us to investigate the microstructure of the FRW universe as a thermodynamic system. Our analysis of the Ruppeiner geometry for the FRW universe reveals that the behavior of the thermodynamic scalar curvature near criticality is characterized by a dimensionless constant identical to that of the van der Waals fluid. Additionally, we observe that while repulsive interactions dominate for the coexistence samll phase with higher temperature, the scalar curvature for the coexistence large phase is always negative, indicating attractive interactions, providing new insights into the nature of interactions among the perfect fluid matter constituents in the expanding FRW universe.

arXiv comment9 pages,3 figures

References in corpus (75)

• Thermodynamics of Spacetime: The Einstein Equation of State
• P-V criticality of charged AdS black holes
• Enthalpy and the Mechanics of AdS Black Holes
• Black hole chemistry: thermodynamics with Lambda
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• General Laws of Black-Hole Dynamics
• Pressure and volume in the first law of black hole thermodynamics
• Logarithmic correction to the Bekenstein-Hawking entropy
• The cosmological constant and the black hole equation of state
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• Unified first law of black-hole dynamics and relativistic thermodynamics
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• Cosmic Holography
• Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• Hawking Radiation of Apparent Horizon in a FRW Universe
• Thermodynamic Behavior of Field Equations for f(R) Gravity
• Thermodynamics of Black Holes in Massive Gravity
• Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes
• Charged Black Holes in AdS Spaces in $4D$ Einstein Gauss-Bonnet Gravity
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• Horndeski Gravity as $D\to 4$ Limit of Gauss-Bonnet
• P-V criticality in the extended phase space of black holes in massive gravity
• Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures
• Friedmann Equations and Thermodynamics of Apparent Horizons
• van der Waals like behaviour of topological AdS black holes in massive gravity
• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Black Holes in Gravity with Conformal Anomaly and Logarithmic Term in Black Hole Entropy
• Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
• Ruppeiner Geometry, Phase Transitions, and the Microstructure of Charged AdS Black Holes
• Generalized Vaidya Spacetime in Lovelock Gravity and Thermodynamics on Apparent Horizon
• Thermodynamics of apparent horizon and modified Friedman equations
• Entropic Corrections to Friedmann Equations
• Thermodynamic curvature measures interactions
• Critical behaviour and microscopic structure of charged AdS black holes via an alternative phase space
• P-V criticality of charged dilatonic black holes
• P-V criticality of AdS black holes in a general framework
• Logarithmic Corrections to Black Hole Entropy and AdS/CFT Correspondence
• Generalized Misner-Sharp Energy in f(R) Gravity
• Thermodynamic curvature and black holes
• Thermodynamic geometry for charged Gauss-Bonnet black holes in AdS spacetimes
• Thermodynamic curvature from the critical point to the triple point
• Gravity with a generalized conformal scalar field: Theory and solutions
• Ruppeiner thermodynamic geometry for the Schwarzschild-AdS black hole
• Microstructure and continuous phase transition of RN-AdS black hole
• Van der Waals criticality in AdS black holes: a phenomenological study
• Critical phenomena in the extended phase space of Kerr-Newman-AdS black holes
• Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole
• Thermogeometric description of the van der Waals like phase transition in AdS black holes
• Reentrant phase transition of Born-Infeld-AdS black holes
• Microscopic Origin of Black Hole Reentrant Phase Transitions
• Thermodynamic curvature: pure fluids to black holes
• Corrected Entropy of Friedmann-Robertson-Walker Universe in Tunneling Method
• Thermodynamic geometry and interacting microstructures of BTZ black holes
• Ruppeiner Geometry, Phase Transitions and Microstructures of Black Holes in Massive Gravity
• Parametric phase transition for Gauss-Bonnet AdS black hole
• A note on Maxwell's equal area law for black hole phase transition
• Misner-Sharp Mass and the Unified First Law in Massive Gravity
• P-V criticality in the extended phase space of black holes in Einstein-Horndeski gravity
• Theoretical and observational constraints on regularized 4$D$ Einstein-Gauss-Bonnet gravity
• Interaction potential and thermo-correction to the equation of state for thermally stable Schwarzschild Anti-de Sitter black holes
• Ruppeiner geometry and thermodynamic phase transition of the black hole in massive gravity
• The P-V Phase Transition of the FRW Universe
• Microscopic explanation for black hole phase transitions via Ruppeiner geometry: two competing factors-the temperature and repulsive interaction among BH molecules
• Maxwell's equal area law for Lovelock Thermodynamics
• Hawking radiation from the cosmological horizon in a FRW universe
• First Principle Study of Gravitational Pressure and Thermodynamics of FRW Universe
• Divergence Behavior of Thermodynamic Curvature Scalar at Critical Point in the Extended Phase Space of Generic Black Holes
• Hawking Radiation and $P-v$ Criticality of Charged Dynamical (Vaidya) Black Hole in Anti-de Sitter Space
• The Hawking-Page-like Phase Transition from FRW Spacetime to McVittie Black Hole

Cited by in corpus (6)

• Black Hole Chemistry: the first 15 years
• Exact Solution of Bardeen Black Hole in Einstein-Gauss-Bonnet gravity
• Cosmological FLRW phase transitions and micro-structure under Kaniadakis statistics
• Phase transitions, critical behavior and microstructure of the FRW universe in the framework of higher order GUP
• Thermodynamics of the arbitrary dimensional FRW universe: Joule-Thomson expansion
• Thermodynamic aspects of FLRW Universe in Einstein-Gauss-Bonnet domains