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      Maxwell’s equal area law for Lovelock thermodynamics

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      International Journal of Modern Physics D
      World Scientific Pub Co Pte Lt

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          String-generated gravity models.

          (1985)
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            Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes

            , , (2010)
            The physical properties of Reissner-Nordstrom black holes in (n+1)-dimensional anti-de Sitter spacetime are related, by a holographic map, to the physics of a class of n-dimensional field theories coupled to a background global current. Motivated by that fact, and the recent observations of the striking similarity between the thermodynamic phase structure of these black holes (in the canonical ensemble) and that of the van der Waals-Maxwell liquid-gas system, we explore the physics in more detail. We study fluctuations and stability within the equilibrium thermodynamics, examining the specific heats and electrical permittivity of the holes, and consider the analogue of the Clayperon equation at the phase boundaries. Consequently, we refine the phase diagrams in the canonical and grand canonical ensembles. We study the interesting physics in the neighbourhood of the critical point in the canonical ensemble. There is a second order phase transition found there, and that region is characterized by a Landau-Ginzburg model with A_3 potential. The holographically dual field theories provide the description of the microscopic degrees of freedom which underlie all of the thermodynamics, as can be seen by examining the form of the microscopic fluctuations.
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              Charged AdS Black Holes and Catastrophic Holography

              We compute the properties of a class of charged black holes in anti-de Sitter space-time, in diverse dimensions. These black holes are solutions of consistent Einstein-Maxwell truncations of gauged supergravities, which are shown to arise from the inclusion of rotation in the transverse space. We uncover rich thermodynamic phase structures for these systems, which display classic critical phenomena, including structures isomorphic to the van der Waals-Maxwell liquid-gas system. In that case, the phases are controlled by the universal `cusp' and `swallowtail' shapes familiar from catastrophe theory. All of the thermodynamics is consistent with field theory interpretations via holography, where the dual field theories can sometimes be found on the world volumes of coincident rotating branes.
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                Author and article information

                Journal
                International Journal of Modern Physics D
                Int. J. Mod. Phys. D
                World Scientific Pub Co Pte Lt
                0218-2718
                1793-6594
                April 2017
                April 2017
                : 26
                : 04
                : 1750037
                Article
                10.1142/S0218271817500377
                95f8b3d1-3bc1-408c-b874-f4596db3fd34
                © 2017
                History

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