Black hole phase transitions via Bragg-Williams
Souvik Banerjee, Sayan K. Chakrabarti, Sudipta Mukherji, Binata Panda
TL;DR
This paper applies the Bragg-Williams free energy construction to analyze phase transitions and instabilities of black holes in AdS space, including hairy and R-charged black holes, providing new insights into their thermodynamic behavior.
Contribution
It introduces the use of Bragg-Williams construction for black hole phase transitions in AdS space, extending its application beyond condensed matter systems.
Findings
Identifies instabilities in hairy black holes and R-charged black holes.
Analyzes thermal quench effects on hairy black holes.
Provides a unified framework for black hole phase transition analysis.
Abstract
We argue that a convenient way to analyze instabilities of black holes in AdS space is via Bragg-Williams construction of a free energy function. Starting with a pedagogical review of this construction in condensed matter systems and also its implementation to Hawking-Page transition, we study instabilities associated with hairy black holes and also with the -charged black holes. For the hairy black holes, an analysis of thermal quench is presented.
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