The paper finds that holographic CFT phase transitions at Davies temperature-extremum points are of fractional order 3/2, while those at inflection critical points are of order 4/3, for several AdS black hole models.
AdS to dS phase transition mediated by thermalon in Einstein-Gauss-Bonnet gravity from Renyi statistics
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abstract
In this work, we present the possible existence of a thermalon phase transition between anti-de Sitter (AdS) to de Sitter (dS) vacua in Einstein-Gauss-Bonnet gravity by considering the R\'{e}nyi statistics. A thermalon changes the asymptotic structure of spacetimes via the bubble nucleation of spherical thin-shells which host a black hole in the interior. All relevant thermodynamical quantities are computed in terms of the Renyi statistics in order to demonstrate the possible existence of the AdS to dS phase transition. In addition, we also comment on the behaviors of the phase transitions in the Renyi statistics.
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Holographic Fractional Order Phase Transitions in CFTs Dual to AdS Black Holes
The paper finds that holographic CFT phase transitions at Davies temperature-extremum points are of fractional order 3/2, while those at inflection critical points are of order 4/3, for several AdS black hole models.