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.

arXiv comment11 pages, major revision, version published in EPJC

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• Misner-Sharp Energy and P-V Criticality in Quasi-Topological Cosmology
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• 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