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

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Cited by in corpus (15)

• Joule-Thomson expansion of charged Gauss-Bonnet black holes in AdS space
• 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
• Microstructure and continuous phase transition of RN-AdS black hole
• Thermodynamic phase transition of Euler-Heisenberg-AdS black hole on free energy landscape
• Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity
• $Q-\Phi$ criticality in the extended phase space of $(n+1)$-dimensional RN-AdS black holes
• Maxwell's equal area law for Lovelock Thermodynamics
• Phase transition and entropic force of de Sitter black hole in massive gravity
• Ehrenfest's scheme and microstructure for regular-AdS black hole in the extended phase space
• Non-extended phase space thermodynamics of Lovelock AdS black holes in grand canonical ensemble
• Microstructure and Continuous Phase Transition of the Gauss-Bonnet AdS Black Hole
• Entropy of higher-dimensional topological dS black holes with nonlinear source
• Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological Charge
• Modifying horizon thermodynamics by surface tensions