2014/12/11 by Pankaj Chaturvedi, Chaturvedi, Pankaj, Anirban Das +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Canonical ensemble #Charge (physics) #Charged black hole #Classical mechanics #Cosmology and Gravitation Theories #Critical phenomena #Critical point (mathematics) #Curvature #FOS: Physical sciences #First order #Geometry #Grand canonical ensemble #Gravitation #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Phase transition #Physics #Quantum mechanics #Scalar (mathematics) #Schwarzschild radius #Thermodynamics #Van der Waals equation #hep-th #van der Waals force
paper · pdf · doi:10.48550/arxiv.1412.3880
published in arXiv (Cornell University) (Cornell University) · 10 pages, 3 figures
openalex publication_date 2014/12/11 · arxiv created 2014/12/12 · arxiv updated 2014/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate phase transitions and critical phenomena of four dimensional\ndyonic charged AdS black holes in the framework of thermodynamic geometry. In a\nmixed canonical grand canonical ensemble with a fixed electric charge and\nvarying magnetic charge these black holes exhibit liquid gas like first order\nphase transition culminating in a second order critical point similar to the\nVan der Waals gas. We show that the thermodynamic scalar curvature R for these\nblack holes follow our proposed geometrical characterization of the R-crossing\nMethod for the first order liquid gas like phase transition and exhibits a\ndivergence at the second order critical point. The pattern of R crossing and\ndivergence exactly corresponds to those of a Van der Waals gas described by us\nin an earlier work.\n