Extended phase space thermodynamics for third-order Lovelock black holes in diverse dimensions

By Haoting Xu, W. Xu, Liu Zhao. The European Physical Journal C, 2014

143 citations recorded by the source corpus.

Treating the cosmological constant as thermodynamic pressure and its conjugate as thermodynamic volume, we investigate the critical behavior of the third-order Lovelock black holes in diverse dimensions. For black hole horizons with different normalized sectional curvature k=0,±1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k=0,\pm 1$$\end{document}, the corresponding critical behaviors differ drastically. For k=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k=0$$\end{document}, there is no critical point in the extended thermodynamic phase space. For k=-1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k=-1$$\end{document}, there is a single critical point in any dimension d≥7\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d\ge 7$$\end{document}, and for k=+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k=+1$$\end{document}, there is a single critical point in 7\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$7$$\end{document} dimensions and two critical points in 8, 9, 10, 11 dimensions. We studied the corresponding phase structures in all possible cases.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/161772b8f22798f9518f3c587e79ae09b03d1107

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Citations in the corpus

Black hole chemistry: thermodynamics with Lambda (2016, background): “Lovelock gravity was already known to have multiple critical points [175]: the Gibbs free energy could have more than one swallowtail.”
Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space (2020, background): “Subsequently, other novel phenomena of phase transition and phase structure were observed [3–15], for a recent review, see Refs.”
Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes (2019, background): “This approach has been extended to a very large variety of AdS black holes, and phenomena such as reentrant phase transitions, triple points, isolated critical points, and λ-line phase transitions have all been observed in different black hole systems [40–51].”