The enriched phase structure of black branes in canonical ensemble

It is found that a necessary completion of phase structure of D-dimensional charged black p  -brane (p>0p>0) in a cavity requires two additional thermodynamical phases, the so-called “bubble of nothing” and/or the extremal brane, in canonical ensemble. This finding resolves the puzzle about the missing phases which are needed for the underlying phase diagram when d˜=D−p−3⩽2 and gives a new (bubble) phase which can become globally stable when d˜>2. An analog of Hawking–Page transition is also found among other new phase transitions, giving a complete phase structure in this setup.