Triple points and phase transitions of D-dimensional dyonic AdS black holes with quasitopological electromagnetism in Einstein-Gauss-Bonnet gravity

doi:10.1088/1674-1056/ad3342

Abstract By considering the negative cosmological constant $\varLambda$ as a thermodynamic pressure, we study the thermodynamics and phase transitions of the $D$-dimensional dyonic AdS black holes (BHs) with quasitopological electromagnetism in Einstein-Gauss-Bonnet (EGB) gravity. The results indicate that the small/large BH phase transition that is similar to the van der Waals (vdW) liquid/gas phase transition always exists for any spacetime dimensions. Interestingly, we then find that this BH system exhibits a more complex phase structure in 6-dimensional case that is missed in other dimensions. Specifically, it shows for $D=6$ that we observed the small/intermediate/large BH phase transitions in a specific parameter region with the triple point naturally appeared. Moreover, when the magnetic charge turned off, we still observed the small/intermediate/large BH phase transitions and triple point only in 6-dimensional spacetime, which is consistent with the previous results. However, for the dyonic AdS BHs with quasitopological electromagnetism in Einstein-Born-Infeld (EBI) gravity, the novel phase structure composed of two separate coexistence curves observed by Li et al. [ Phys. Rev. D 105 104048 (2022)] disappeared in EGB gravity. This implies that this novel phase structure is closely related to gravity theories, and seems to have nothing to do with the effect of quasitopological electromagnetism. In addition, it is also true that the critical exponents calculated near the critical points possess identical values as mean field theory. Finally, we conclude that these findings shall provide some deep insights into the intriguing thermodynamic properties of the dyonic AdS BHs with quasitopological electromagnetism in EGB gravity.

Keywords: AdS black hole phase transition triple point

Received: 14 December 2023
Revised: 24 January 2024
Accepted manuscript online: 13 March 2024

PACS:	04.70.Dy	(Quantum aspects of black holes, evaporation, thermodynamics)
	04.50.Kd	(Modified theories of gravity)
	05.70.Fh	(Phase transitions: general studies)

Fund: This work was supported by the National Natural Science Foundation of China (Grant No. 11903025), the Starting Fund of China West Normal University (Grant No. 18Q062), the Sichuan Science and Technology Program (Grant No. 2023ZYD0023), the Sichuan Youth Science and Technology Innovation Research Team (Grant No. 21CXTD0038), and the Natural Science Foundation of Sichuan Province (Grant No. 2022NSFSC1833).

Corresponding Authors: Yu-Ren Shi
E-mail: qqjiangphys@yeah.net；gpliphys@yeah.net

Cite this article:

Ping-Hui Mou(牟平辉), Qing-Quan Jiang(蒋青权), Ke-Jian He(何柯腱), and Guo-Ping Li(李国平) Triple points and phase transitions of D-dimensional dyonic AdS black holes with quasitopological electromagnetism in Einstein-Gauss-Bonnet gravity 2024 Chin. Phys. B 33 060401

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Triple points and phase transitions of D-dimensional dyonic AdS black holes with quasitopological electromagnetism in Einstein-Gauss-Bonnet gravity

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