Thermodynamic geometry of dyonic black holes in AdS in extended phase space

Abstract

Ruppeiner scalar curvature can be considered as an empirical tool to explore the nature of interaction among the microstructures of black holes. In the extended phase space, the phase transitions and criticality are investigated for the dyonic black holes in an ensemble, where the electric potential [Formula: see text] is fixed. At first, we described the thermodynamic properties of dyonic black holes to investigate the [Formula: see text] criticality. Further, the Ruppeiner scalar curvature is calculated in an ensemble with fixed [Formula: see text] utilizing the fluctuation coordinates [Formula: see text]. The behavior of interactions among the microstructures of the dyonic black holes in AdS is studied where the dominance of attractive or repulsive interaction is found to be dependent on the values of electric potential [Formula: see text].