The geometry of RN-AdS fluids
arXiv:1912.01183 · doi:10.1016/j.physletb.2020.135416
Abstract
We establish the parameter space geometry of a fluid system characterized by two constants, whose equation of state mimics that of the RN-AdS black hole. We call this the RN-AdS fluid. We study the scalar curvature on the parameter space of this system, and show its equivalence with the RN-AdS black hole, in the limit of vanishing specific heat at constant volume. Further, an analytical construction of the Widom line is established. We also numerically study the behavior of geodesics on the parameter space of the fluid, and find a geometric scaling relation near its second order critical point.
arXiv comment1+10 Pages, LaTeX, 3 figures
References in corpus (8)
- Charged AdS Black Holes and Catastrophic Holography
- Enthalpy and the Mechanics of AdS Black Holes
- Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
- Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures
- Thermodynamic curvature measures interactions
- Thermodynamic Geometry, Phase Transitions, and the Widom Line
- Geodesics in Information Geometry : Classical and Quantum Phase Transitions
- Geometric Critical Exponents in Classical and Quantum Phase Transitions
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