Ehrenfest scheme for complex thermodynamic systems in full phase space

Abstract

For a thermodynamic system with multiple pairs of intensive/extensive variables and the thermodynamical coefficients attain finite or infinite values on the phase boundary, we obtain the two classes of Ehrenfest equations in the full phase space, and find that the rank of the matrix for these equations can tell us the dimensions of the phase boundary. We also apply this treatment to the RN-AdS black hole.

9 pages

References in corpus (5)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Geometrothermodynamics
• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
• Ehrenfest scheme for $P-V$ criticality of higher dimensional charged black holes, rotating black holes and Gauss-Bonnet AdS black holes
• A unified phase transition picture of the charged topological black hole in Horava-Lifshitz gravity

Cited by in corpus (4)

• Clapeyron equations and fitting formula of the coexistence curve in the extended phase space of charged AdS black holes
• Black holes and Boyle's law -- the thermodynamics of the cosmological constant
• Non-extended phase space thermodynamics of Lovelock AdS black holes in grand canonical ensemble
• Modifying horizon thermodynamics by surface tensions