The P-V Phase Transition of the FRW Universe

Abstract

We define thermodynamic pressure $P$ by work density $W$ as the conjugate quantity of thermodynamic volume $V$ from field equation. We derive the equations of state $P$=$P(V,T)$ for the Friedmann-Robertson-Walker (FRW) universe in Einstein gravity and a modified gravity respectively. We find that the equation of state from Einstein gravity shows no $P$-$V$ phase transition, while the equation of state from the modified gravity does, where the critical exponents are the same as those in mean field theory.

11 pages, major revision, version published in EPJC

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• Insight into the Microstructure of FRW Universe from a $P$-$V$ Phase Transition
• A new approach to $P-V$ phase transitions: Einstein gravity and holographic type dark energy
• Phase transitions, critical behavior and microstructure of the FRW universe in the framework of higher order GUP
• Exploring thermodynamics inconsistencies in unimodular gravity: a comparative study of two energy diffusion functions
• Thermodynamics of the arbitrary dimensional FRW universe: Joule-Thomson expansion
• Misner-Sharp Energy and P-V Criticality in Quasi-Topological Cosmology
• Effective Pressure of the FRW Universe
• A dynamical systems perspective on the thermodynamics of late-time cosmology
• Cooling-Heating Properties of the FRW Universe in Gravity with a Generalized Conformal Scalar Field
• Thermodynamic aspects of FLRW Universe in Einstein-Gauss-Bonnet domains
• Heat Capacity and the Violation of Scaling Laws in Gravitational System