The kinetics and its turnover of Hawking-Page phase transition under the black hole evaporation
arXiv:2105.00229 · doi:10.1103/PhysRevD.104.084060
Abstract
The thermodynamics and the kinetics of Hawking-Page phase transition were studied previously based on the free energy landscape. The AdS black hole can evaporate if imposing the absorbing boundary conditions at infinity. We suggest that the kinetics of Hawking-Page phase transition should be governed by the reaction-diffusion equation, where the Hawking evaporation plays the role of the reaction on the background of the free energy landscape. By calculating the mean first passage time from the large black hole phase to the thermal gas phase, we show that the phase transition can occur more easily under the Hawking radiation. In particular, a kinetic turnover is observed when increasing the ensemble temperature or the frictions. This kinetic turnover can be viewed as the dynamical phase transition to identify the time scale where Hawking evaporation process is comparable to Hawking-Page phase transition.
References in corpus (28)
- Gauge Theory Correlators from Non-Critical String Theory
- The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
- Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
- Thermodynamics of Black Holes in Massive Gravity
- Black holes as bubble nucleation sites
- Ricci Flat Black Holes and Hawking-Page Phase Transition in Gauss-Bonnet Gravity and Dilaton Gravity
- Thermal Dynamic Phase Transition of Reissner-Nordström Anti-de Sitter Black Holes on Free Energy Landscape
- First-Passage Time Distribution and Non-Markovian Diffusion Dynamics of Protein Folding
- Hawking-Page transition in holographic massive gravity
- Hawking-Page phase transition in BTZ black hole revisited
- Fake Supersymmetry and Extremal Black Holes
- Reverse Hawking-Page Phase Transition in de Sitter Black Holes
- Observing dynamic oscillatory behavior of triple points among black hole thermodynamic phase transitions
- Novel dual relation and constant in Hawking-Page phase transitions
- Hawking evaporation of Einstein-Gauss-Bonnet AdS black holes in dimensions
- Continuous Hawking-Page transitions in Einstein-scalar gravity
- Black hole evaporation in Lovelock gravity with diverse dimensions
- The Hawking-Page phase transitions in the extended phase space in the Gauss-Bonnet gravity
- Finite Upper Bound for the Hawking Decay Time of an Arbitrarily Large Black Hole in Anti-de Sitter Spacetime
- Black hole evaporation in Conformal (Weyl) gravity
- Hawking Evaporation of Black Holes in Massive Gravity
- Generalized Hawking-Page transitions
- Black Hole Evaporation in Hořava-Lifshitz Gravity
- Black Holes, Oscillating Instantons, and the Hawking-Moss transition
- Hawking Evaporation Time Scale of Topological Black Holes in Anti-de Sitter Spacetime
- Phase transitions of the BTZ black hole in new massive gravity
- Hawking-Moss transition with a black hole seed
- A Complementary Third Law for Black Hole Thermodynamics
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- Non-Markovian dynamics of black hole phase transition
- Dynamic Property of Phase Transition for Non-Linear Charged Anti-de Sitter black holes
- Continuous Phase Transition of the higher-dimensional topological de-Sitter Spacetime with the Non-linear Source
- Free energy landscape and kinetics of phase transition in two coupled SYK models