Multi-critical Points in Black Hole Phase Transitions

Abstract

We present the first examples in black hole thermodynamics of multicritical phase transitions, in which more than three distinct black hole phases merge at a critical point. Working in the context of non-linear electrodynamics, we explicitly present examples of black hole quadruple and quintuple points, and demonstrate how $n$-tuple critical points can be obtained. Our results indicate that black holes can have multiple phases beyond the three types observed so far, resembling the behaviour of multicomponent chemical systems. We discuss the interpretation of our results in the context of the Gibbs Phase Rule.

6 pages, 3 figures Updated version, with typos in the captions of figures 1 and 2 corrected. Results unchanged

References in corpus (11)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Superfluid Black Holes
• Isolated critical point from Lovelock gravity
• Defying the Gibbs Phase Rule: Evidence for an Entropy-Driven Quintuple Point in Colloid-Polymer Mixtures
• A possible four-phase coexistence in a single-component system
• Black Holes With Many Horizons in the Theories of Nonlinear Electrodynamics
• Thermodynamics of Exotic Black Holes in Lovelock Gravity
• Entropic patchiness drives multi-phase coexistence in discotic colloid-depletant mixtures
• Triple points and phase diagrams of Born-Infeld AdS black holes in 4D Einstein-Gauss-Bonnet gravity
• The microstructure and Ruppeiner geometry of charged anti-de Sitter black holes in Gauss-Bonnet gravity: from the critical point to the triple point

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