Adiabatic Processes for Charged AdS Black Hole in the Extended Phase Space
arXiv:1701.04662
Abstract
In the extended phase space, a general method is used to derive all the possible adiabatic processes for charged AdS black hole. Two kinds are found, one is zero temperature adiabatic process which is irreversible, the other is isochore adiabatic process which is reversible. For the zero temperature adiabatic expansion process, entropy is increasing; pressure, enthalpy, Gibbs free energy and internal energy are decreasing; system's potential energy is transformed to the work done by the system to the outer system. For the isochore adiabatic process, entropy and internal energy are fixed; temperature, enthalpy and Gibbs free energy are proportional to pressure; during the pressure increasing process, temperature is increasing and system's potential energy is transformed to its kinetic energy. Comparing these two adiabatic processes with those in normal thermodynamic system, we find that the zero temperature adiabatic process is much like the adiabatic throttling process(both are irreversible and with work done), the isochore adiabatic process is much like a combination of the reversible adiabatic process (both with fixed entropy) and the adiabatic free expansion process (both with fixed internal energy).
arXiv comment6pages,2figures
References in corpus (14)
- P-V criticality of charged AdS black holes
- Charged AdS Black Holes and Catastrophic Holography
- Holographic Heat Engines
- Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
- Misner String Entropy
- P-V criticality in the extended phase space of black holes in massive gravity
- Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
- Joule-Thomson Expansion of Charged AdS Black Holes
- Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
- Ehrenfest scheme for criticality of higher dimensional charged black holes, rotating black holes and Gauss-Bonnet AdS black holes
- Phase transition and critical phenomena of black holes: A general approach
- An equal area law for holographic entanglement entropy of the AdS-RN black hole
- A note on Maxwell's equal area law for black hole phase transition
- A unified thermodynamic picture of Hořava-Lifshitz black hole in arbitrary space time