\begin{document}$(\Omega_{H},J)$\end{document}\begin{document}$\rightarrow(V,P)$\end{document}, while in our study, the correspondence was\begin{document}$(J,\hat{\Omega}_{H})$\end{document}\begin{document}$\rightarrow(V,P)$\end{document}. This difference was owing to the rotating effect. The modified black hole thermodynamics were associated with rotating observers. The free energy in such a reference contains extra rotating energy, which induces a Legendre transformation in the \begin{document}$(\hat{\Omega}_{H},J)$\end{document} cross-section, causing the difference in correspondence."> Phase transition in modified thermodynamics of Kerr-AdS black holes -
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