https://doi.org/10.1140/epjc/s10052-017-4678-z
Regular Article - Theoretical Physics
Thermodynamic geometry and phase transitions of dyonic charged AdS black holes
1
Department of Physics, Indian Institute of Technology Kanpur, Kanpur, 208016, India
2
Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Rd, Mumbai, 400005, India
* e-mail: cpankaj@iitk.ac.in
Received:
16
December
2016
Accepted:
3
February
2017
Published online:
17
February
2017
We investigate phase transitions and critical phenomena of four dimensional dyonic charged AdS black holes in the framework of thermodynamic geometry. In a mixed canonical–grand canonical ensemble with a fixed electric charge and varying magnetic charge these black holes exhibit a liquid–gas like first order phase transition culminating in a second order critical point similar to the van der Waals gas. We show that the thermodynamic scalar curvature R for these black holes follow our proposed geometrical characterization of the R-crossing Method for the first order liquid–gas like phase transition and exhibits a divergence at the second order critical point. The pattern of R crossing and divergence exactly corresponds to those of a van der Waals gas described by us in an earlier work.
© The Author(s), 2017
