Abstract We creatively employ the shadow radius to study the thermodynamics of a charged AdS black hole with a nonlinear electrodynamics (NLED) term. First, the connection between the shadow radius and event horizon is constructed with the aid of the geodesic analysis. It turns out that the black hole shadow radius shows a positive correlation as a function of the event horizon radius. Then in the shadow context, we find that the black hole temperature and heat capacity can be presented by the shadow radius. Further analysis shows that the shadow radius can work similarly to the event horizon in revealing black hole phase transition process. In this sense, we construct the thermal profile of the charged AdS black hole with inclusion of the NLED effect. In the P<Pc case, it is found that the N-type trend of the temperature given by the shadow radius is always consistent with that obtained by using the event horizon. Thus, we can conclude for the charged AdS black hole that the phase transition process can be intuitively presented as the thermal profile in the shadow context. Finally, the effects of NLED are carefully analyzed.
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 Youth Science and Technology Innovation Research Team (Grant No.21CXTD0038), the Chongqing Science and Technology Bureau (Grant No.csts2022ycjh-bgzxm0161), and the Natural Science Foundation of Sichuan Province (Grant No.2022NSFSC1833).
Corresponding Authors:
Guo-Ping Li
E-mail: gpliphys@yeah.net
Cite this article:
He-Bin Zheng(郑何斌), Ping-Hui Mou(牟平辉), Yun-Xian Chen(陈芸仙), and Guo-Ping Li(李国平) Shadow thermodynamics of AdS black hole with the nonlinear electrodynamics term 2023 Chin. Phys. B 32 080401
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