  In this work we define a new limiting procedure that extends the usual
thermodynamics treatment of Black Hole physics, to the supersymmetric regime.
This procedure is inspired on equivalent statistical mechanics derivations in
the dual CFT theory, where the BPS partition function at zero temperature is
obtained by a double scaling limit of temperature and the relevant chemical
potentials. In supergravity, the resulting partition function depends on
emergent generalized chemical potentials conjugated to the different conserved
charges of the BPS solitons. With this new approach, studies on stability and
phase transitions of supersymmetric solutions are presented. We find stable and
unstable regimes with first order phase transitions, as suggested by previous
studies on free supersymmetric Yang Mills theory.
