Dynamics and kinetics of phase transition for regular AdS black holes in general relativity coupled to non-linear electrodynamics
arXiv:2106.11095
Abstract
Employing the free energy landscape, we study the phase transition and its dynamics for a class of regular black holes in Anti-de Sitter spacetime governed by the coupling of non-linear electrodynamics, which reduces to Hayward and Bardeen solutions for particular values of spacetime parameters. The Fokker-Planck equation is solved numerically by imposing the reflecting boundary condition and a suitable initial condition, using which, we investigate the probabilistic evolution of regular AdS black holes. In this approach, the on-shell Gibbs free energy is treated as a function of the radius of the event horizon, which happens to be the order parameter of the phase transition. The numerical solution is also obtained for the absorbing boundary condition. The dynamics of switching between the coexistence small black hole phase and large black hole phase due to the thermal fluctuation is probed by calculating the first passage time. The effect of temperature on the dynamical process is also investigated.
arXiv comment20 pages, 10 figures. Comments are welcome
References in corpus (9)
- P-V criticality of charged AdS black holes
- Black hole chemistry: thermodynamics with Lambda
- Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
- Pressure and volume in the first law of black hole thermodynamics
- Construction of Regular Black Holes in General Relativity
- Critical phenomena of regular black holes in anti-de Sitter space-time
- Bardeen black hole chemistry
- Comment on "Construction of regular black holes in general relativity"
- First law and Smarr formula of black hole mechanics in nonlinear gauge theories