Multicritical Phase Transitions in Lovelock AdS Black Holes

Abstract

We demonstrate that black holes in order $N\ge 4$ Lovelock gravity can exhibit multicritical phase behaviour. We show an explicit example of a quadruple point in $d=10$ fourth-order Lovelock gravity and a quintuple point in $d=14$ sixth-order Lovelock gravity. We also demonstrate that multi-criticality can be realized for uncharged, non-rotating black holes by highlighting a new type of multi-critical point between black holes and thermal radiation. We discuss the methodology used and make comparisons to other black hole multi-critical points in terms of the Gibbs phase rule.

References added

References in corpus (9)

• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Isolated critical point from Lovelock gravity
• Multi-critical Points in Black Hole Phase Transitions
• Defying the Gibbs Phase Rule: Evidence for an Entropy-Driven Quintuple Point in Colloid-Polymer Mixtures
• Multicritical Phase Transitions in Multiply Rotating Black Holes
• Thermodynamics of Exotic Black Holes in Lovelock 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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• CFT Phase Transition Analysis of Charged, Rotating Black Holes in $D=4$: A Holographic Thermodynamics Approach
• Thermodynamically Stable Phases of Asymptotically Flat Lovelock Black Holes
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• Overcoming Barriers: Kramers' Escape Rate Analysis of Metastable Dynamics in First-Order Multi-Phase Transitions