Phase structures of the black D$p$-D$(p+4)$-brane system in various ensembles II: electrical and thermodynamic stability

Abstract

By incorporating the electrical stability condition into the discussion, we continue the study on the thermodynamic phase structures of the D$p$-D$(p+4)$ black brane in GG, GC, CG, CC ensembles defined in our previous paper arXiv:1502.00261. We find that including the electrical stability conditions in addition to the thermal stability conditions does not modify the phase structure of the GG ensemble but puts more constraints on the parameter space where black branes can stably exist in GC, CG, CC ensembles. In particular, the van der Waals-like phase structure which was supposed to be present in these ensembles when only thermal stability condition is considered would no longer be visible, since the phase of the small black brane is unstable under electrical fluctuations. However, the symmetry of the phase structure by interchanging the two kinds of brane charges and potentials is still preserved, which is argued to be the result of T-duality.

arXiv comment34 pages, 17 figures

References in corpus (12)

• Charged AdS Black Holes and Catastrophic Holography
• Black Strings and p-Branes are Unstable
• Gauss-Bonnet Black Holes in AdS Spaces
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• Entropy and Temperature of Black 3-Branes
• Charged Black Hole in a Canonical Ensemble
• Phase transitions and critical behavior of black branes in canonical ensemble
• Thermodynamic stability of asymptotically anti-de Sitter rotating black holes in higher dimensions
• The phase structure of black D1/D5 (F/NS5) system in canonical ensemble
• Bubbles and Black Branes in Grand Canonical Ensemble
• The enriched phase structure of black branes in canonical ensemble
• Phase structures of the black D$p$-D$(p+4)$-brane system in various ensembles I: thermal stability