Abstract
By the turning point method, we study the thermodynamic stability of the a regular black hole in nonlinear electrodynamics. The microcanonical, canonical, and grand canonical ensembles are analyzed; the phase diagrams (m, βm) and (q, βq) (microcanonical ensemble) show that the regular black hole is stable at all the equilibrium sequence, but for the phase diagram (βm, –m) (canonical and grand canonical ensembles) the black hole shows a turning point. This means that the black hole is thermodynamically unstable. The temperature of the regular black hole has behavior that resembling Reissner–Nordstrom behavior: the temperature grows with the mass as in an ordinary thermodynamical system, but there is a maximum value of mass beyond which the temperature diminishes. The heat capacity displays a divergence with a change of sign that occurs precisely at the turning point obtained by the turning point method in the canonical ensemble.
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