2018/08/17 by Peng Wang, Houwen Wu, Haitang Yang · 1 citation
Physics and Astronomy · #AdS black hole #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Black hole thermodynamics #Charged black hole #Critical exponent #Extremal black hole #Horizon #Phase transition #Quantum Electrodynamics and Casimir Effect #White hole #gr-qc #hep-th
paper · pdf · doi:10.1088/1475-7516/2019/04/052
minor corrections, references added
arxiv created 2018/08/17 · openalex created_date 2018/08/22 · openalex publication_date 2019/04/29 · arxiv updated 2019/05/08 · openalex updated_date 2026/08/05
We investigate the thermodynamic behavior of asymptotically AdS nonlinear electrodynamics (NLED) black holes in an extended phase space, where the cosmological constant Λ=−3/ l 2 is interpreted as a thermodynamic pressure. For a generic NLED black hole, we find that the Smarr relation is satisfied in the extended phase space if the dimensionful parameters in the NLED Lagrangian are considered as the thermodynamic variables. In a canonical ensemble with the charge Q fixed, we then investigate the phase structure and transitions of Born-Infeld AdS black holes, endowed with a parameter a >0, which encodes the strength of the nonlinearities. In the a / l 2 - Q / l phase space, the phase diagrams are obtained, which provides a new viewpoint towards the black holes' phase structure and critical behavior. It shows that the critical line and the region, where a reentrant phase transition occurs, are both finite and terminated at some point. Through the continuation to a <0, we extend the analysis to a new type of NLED black holes, dubbed iBorn-Infeld AdS black holes. For the iBorn-Infeld AdS black holes, the critical line and the reentrant phase transition region are semi-infinite and extend to Q / l = ∞ . We also examine the thermal and electrical stabilities of the Born-Infeld and iBorn-Infeld AdS black holes.