Generalized free energy landscape of black hole phase transition

Abstract

Recently, the stochastic dynamical model based on the free energy landscape was proposed to quantify the kinetics of the black hole phase transition. An essential concept is the generalized free energy of the fluctuating black hole, which was defined in terms of the thermodynamic relation previously. In this work, by employing the Gibbons-Hawking path integral approach to black hole thermodynamics, we show that the generalized free energy can be derived from the Einstein-Hilbert action of the Euclidean gravitational instanton with the conical singularity. This work provides a concrete and solid foundation for the free energy landscape formalism of black hole phase transition.

References in corpus (16)

• Kinetics of a phase transition for a Kerr-AdS black hole on the free-energy landscape
• Thermal Dynamic Phase Transition of Reissner-Nordström Anti-de Sitter Black Holes on Free Energy Landscape
• Observing dynamic oscillatory behavior of triple points among black hole thermodynamic phase transitions
• Dynamic properties of thermodynamic phase transition for five-dimensional neutral Gauss-Bonnet AdS black hole on free energy landscape
• Thermodynamic phase transition of Euler-Heisenberg-AdS black hole on free energy landscape
• Fokker-Planck equation for black holes in thermal potential
• Effects of dark energy on dynamic phase transition of charged AdS black holes
• The kinetics and its turnover of Hawking-Page phase transition under the black hole evaporation
• Dynamic phase transition of charged dilaton black holes
• Path integral and instantons for the process and phase transition rate of the RNAdS black hole
• Kinetics of Hawking-Page phase transition with the non-Markovian effects
• Non-Markovian dynamics of black hole phase transition
• Dynamic Property of Phase Transition for Non-Linear Charged Anti-de Sitter black holes
• Energy and entropy compensation, phase transition and kinetics of four dimensional charged Gauss-Bonnet Anti-de Sitter black holes on the underlying free energy landscape
• Tachyon condensation and off-shell gravity/gauge duality
• Free energy landscape and kinetics of phase transition in two coupled SYK models

Cited by in corpus (25)

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• Topological classes of thermodynamics of the four-dimensional static accelerating black holes
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• Topological classes of thermodynamics of the static multi-charge AdS black holes in gauged supergravities: novel temperature-dependent thermodynamic topological phase transition
• Universal topological classifications of black hole thermodynamics
• Universal thermodynamic topological classes of rotating black holes
• Novel topological classes in black hole thermodynamics
• Topological classes of thermodynamics of the rotating charged AdS black holes in gauged supergravities
• Black Hole Chemistry: the first 15 years
• Topology of the landscape and dominant kinetic path for the thermodynamic phase transition of the charged Gauss-Bonnet AdS black holes
• Generalized free energy and dynamical state transition of the dyonic AdS black hole in the grand canonical ensemble
• Phase Transition Dynamics of Black Holes Influenced by Kaniadakis and Barrow Statistics
• Thermodynamic topological classes of the rotating, accelerating black holes
• Universal thermodynamic topological classes of three-dimensional BTZ black holes
• Recovery of consistency in thermodynamics of regular black holes in Einstein's gravity coupled with nonlinear electrodynamics
• ${\tilde{W}}^{1+}$ subclass: Extending the topological classification of black hole thermodynamics
• Thermodynamic phase transition and winding number for the third-order Lovelock black hole
• Black hole thermodynamics from an ensemble-averaged theory
• Kramer's Escape Rate and Phase Transition Dynamics in AdS Black Holes
• Born-Infeld-AdS black hole phase structure: Landau theory and free energy landscape approaches
• Overcoming Barriers: Kramers' Escape Rate Analysis of Metastable Dynamics in First-Order Multi-Phase Transitions
• Differential topology and micro-structure of black hole in Einstein-Euler-Heisenberg spacetimes with exponential entropy
• Dimensional structure of thermodynamic topology in ultraspinning Kerr-AdS black holes
• Out-of-Time-Order-Correlation in perturbed quantum wells