Thermodynamic phase transition rate for the third-order Lovelock black hole in diverse dimensions
arXiv:2402.08887 · doi:10.1016/j.physletb.2024.138690
Abstract
The phase transition has always been a major focus in the study of black hole thermodynamics. This study employs the Kramer escape rate from stochastic processes to investigate the first-order phase transition strength between the large and small black hole states. The results indicate that the phase transition of the third-order Lovelock black holes exhibits significant asymmetric characteristics in diverse dimensions both in the hyperbolic and spherical topology, with an overall trend of the transition from large black holes to small black holes. Especially for the spherical topology, when the dimension is higher than seven, there exists a certain temperature beyond which a dynamic equilibrium is established for the phase transition. This study provides valuable insights into the first-order phase transition rate of black holes and enriches the understanding of black hole phase transitions.
v1: 11 pages, 8 figures
References in corpus (16)
- A Note on Thermodynamics of Black Holes in Lovelock Gravity
- Smarr Formula and an Extended First Law for Lovelock Gravity
- Black Hole Solutions as Topological Thermodynamic Defects
- Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
- Topological classes of thermodynamics of rotating AdS black holes
- Topology of black hole thermodynamics in Lovelock gravity
- Topology of critical points and Hawking-Page transition
- Restricted phase space thermodynamics for AdS black holes via holography
- Thermodynamics of Kerr-AdS black holes in the restricted phase space
- Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole
- Fokker-Planck equation for black holes in thermal potential
- Restricted phase space thermodynamics of charged AdS black holes in conformal gravity
- Restricted phase space thermodynamics for black holes in higher dimensions and higher curvature gravities
- Rate of the phase transition for a charged anti-de Sitter black hole
- Thermodynamics of third order Lovelock anti-de Sitter black holes revisited
- Generalized Maxwell equal area law and black holes in complex free energy
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- Topology of black hole thermodynamics: A brief review
- The Kramers escape rate of phase transitions for the 6-dimensional Gauss-Bonnet AdS black hole with triple phases
- Overcoming Barriers: Kramers' Escape Rate Analysis of Metastable Dynamics in First-Order Multi-Phase Transitions