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arXiv · 2306.01030

Thermodynamic instability and the violation of reverse isoperimetric inequality in Torus-like black hole

Yue Song·Yiqian He·Benrong Mu
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Abstract

Recently, conjectures have been made that there is a correlation between thermodynamic instability and super-entropy~\cite{{Johnson:2019mdp},{Cong:2019bud}}. In this paper, we started with torus-like black holes and verified the correlation mentioned above. After solving the specific analytical solutions of the specific heat capacity at constant volume $C_{V}$, the specific heat capacity at constant pressure $C_{P}$ and plotting the figures, we obtained the results which are consistent with the hypothesis from Ref. \cite{Cong:2019bud}. To further verify the generality of conjectures, we explored the BTZ black hole in nonlinear electrodynamics and phantom AdS black hole. And then the results are summarized via a table. Ultimately, the comparison among these three black holes leads us to the conclusion that there is no essential connection between thermodynamic instability and super-entropy.

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Yue Song, Yiqian He, Benrong Mu. 2023-06-01. Thermodynamic instability and the violation of reverse isoperimetric inequality in Torus-like black hole. https://arxiv.org/abs/2306.01030

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