Phase transition and critical phenomena of black holes: A general approach
arXiv:1608.04176 · doi:10.1103/PhysRevD.94.064069
Abstract
We present a general framework to study the phase transition of a black hole. Assuming that there is a phase transition, it is shown that without invoking any specific black hole, the critical exponents and the scaling powers can be obtained. We find that the values are exactly same which were calculated by taking explicit forms of different black hole spacetimes. The reason for this universality is also explained. The implication of the analysis is -- one does not need to investigate this problem case by case, what the people are doing right now. We also observe that these, except two such quantities, are independent of the details of the spacetime dimensions.
Refs added, to appear in Phys. Rev. D
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- Geometry of criticality, supercriticality and Hawking-Page transitions in Gauss-Bonnet-AdS black holes
- Thermal phase transitions of dimensionally continued AdS black holes
- Exploring the Phase Transition in Charged Gauss-Bonnet Black Holes: A Holographic Thermodynamics Perspectives
- Exploring the Effects of Generalized Entropy onto Bardeen Black Hole Surrounded by Cloud of Strings
- Phase-Transition Theory of Kerr Black Holes in Electromagnetic Field
- Adiabatic Processes for Charged AdS Black Hole in the Extended Phase Space