The P-V phase transition of the FRW universe
Shi‐Bei Kong, Haximjan Abdusattar, Yihao Yin, Hongsheng Zhang, Ya-Peng Hu
Abstract
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.
Topics & Concepts
Friedmann–Lemaître–Robertson–Walker metricEquation of stateMathematical physicsPhysicsUniverseFriedmann equationsPhase transitionEinsteinGravitational fieldf(R) gravityGravitationThermodynamicsCosmologyClassical mechanicsQuantum mechanicsQuantum gravityDark energyQuantumCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsAdvanced Thermodynamics and Statistical Mechanics