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When the D$(p+4)$-brane ($p=0,1,2$) with delocalized D$p$ charges is put intoequilibrium with a spherical thermal cavity, the two kinds of charges can beput into canonical or grand canonical ensemble independently by settingdifferent conditions at the boundary. Using the thermal stability condition, wediscuss the phase structures of various ensembles of this system formed in thisway and find out the situations that the black brane could be the final stablephase in these ensembles. In particular, van der Waals-like phase transitionscan happen when D0 and D4 charges are in different kinds of ensembles.Furthermore, our results indicate that the D$(p+4)$-branes and the delocalizedD$p$-branes are equipotent.

Phase structures of the black D$p$-D$(p+4)$-brane system in various ensembles I: thermal stability