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The extended thermodynamics of Reissner-Nordstr\"om charged black holes in D-dimensional anti-de Sitter spacetime has a phase structure in the (T,p) plane that includes a line of first order phase transitions ending in a second order transition point.
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See ref. [ 27 ] for a review of some of the results obtained in this context by using the extended thermodynamics framework
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Here, the conventions of refs. [ 11 , 12 ] will be used
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Ref. [ 28 ] studied the entanglement entropy of the dual theory in the neighbourhood of the second order critical point
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D. Kubiznak, R. B. Mann, and M. Teo, Class. Quant. Grav. 34
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