Bubbles and Black Branes in Grand Canonical Ensemble

Abstract

When the phase structure of the black brane in grand canonical ensemble is discussed, a new bubble phase with the same boundary data is found to exist in this structure. As such, the phase transitions among bubble, black brane and "hot flat space" are possible, therefore giving a much enriched phase structure. We argue that under some conditions, either the grand canonical ensemble itself is unstable or there are some unknown new phases.

v2. 12 pages. Expanded discussion, references added, typos corrected, published version

References in corpus (5)

• Charged Black Hole in a Canonical Ensemble
• Phase transitions and critical behavior of black branes in canonical ensemble
• The enriched phase structure of black branes in canonical ensemble
• Phase structure of black branes in grand canonical ensemble
• Black Five-Branes and Fluxbranes on Gravitational Instantons

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• Extended Phase Space Thermodynamics for Black Holes in a Cavity
• Hawking--Page phase transitions of the black holes in a cavity
• Thermodynamic Geometry of Black Holes Enclosed by a Cavity in Extended Phase Space
• Validity of Thermodynamic Laws and Weak Cosmic Censorship for AdS Black Holes and Black Holes in a Cavity
• Phase Structures and Transitions of Quintessence Surrounding RN Black Holes in a Grand Canonical Ensemble
• Thermodynamics and phase transition of BTZ black hole in a cavity
• Phase structures of the black D$p$-D$(p+4)$-brane system in various ensembles I: thermal stability
• Phase structures of the black D$p$-D$(p+4)$-brane system in various ensembles II: electrical and thermodynamic stability