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Understanding the dynamic process of the thermodynamic phase transition can provide the deep insight into the black hole microscopic properties and structures. We in this paper study the dynamic properties of the stable small-large black…

General Relativity and Quantum Cosmology · Physics 2022-05-05 Shao-Wen Wei , Yu-Xiao Liu , Yong-Qiang Wang

Understanding the thermodynamic phase transition of black holes can provide a deep insight into the fundamental properties of black hole gravity to establish the theory of quantum gravity. We investigate the condition and latent heat of…

High Energy Physics - Theory · Physics 2022-09-13 Yun-Zhi Du , Huai-Fan Li , Fang Liu , Ren Zhao , Li-Chun Zhang

Understanding the thermodynamic phase transition of black holes can provide the deep insight into the fundamental properties of black hole gravity to establish the quantum gravity. In this work, we investigate the phase transition and its…

High Energy Physics - Theory · Physics 2022-09-13 Yun-Zhi Du , Huai-Fan Li Fang Liu , Li-Chun Zhang

Employing the generalized free energy landscape and solving the associated Fokker-Planck equation, we obtain the time-dependent probability evolution of the order parameter for the RN-AdS black hole phase transitions. Our analysis reveals…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Chao Wang , Chen Ma , Meng-Ci He , Bin Wu

By treating the order parameter as a stochastic thermal fluctuating variable for small-large black hole phase transition, we investigate the kinetic process of phase transition for the Kerr-AdS (anti-de Sitter) black holes on free energy…

General Relativity and Quantum Cosmology · Physics 2022-04-21 Si-Jiang Yang , Run Zhou , Shao-Wen Wei , Yu-Xiao Liu

The dynamical properties of small-large black hole phase transition in dRGT non-linear massive gravity theory are studied based on the underlying free energy landscape. The free energy landscape is constructed by specifying the Gibbs free…

General Relativity and Quantum Cosmology · Physics 2023-09-19 T. K. Safir , A. Naveena Kumara , Shreyas Punacha , Deepak Vaid , C. L. Ahmed Rizwan , C. Fairoos

Searching for the effect of quintessence dark energy on the kinetics of black hole phase transition, we investigate in detail the dynamic phase transition of charged AdS black holes surrounded by quintessence in this paper. Based on the…

General Relativity and Quantum Cosmology · Physics 2021-11-24 Shan-Quan Lan , Jie-Xiong Mo , Gu-Qiang Li , Xiao-Bao Xu

We explore the thermodynamics and the underlying kinetics of the van der Waals type phase transition of Reissner-Nordstr\"{o}m anti-de Sitter (RNAdS) black holes based on the free energy landscape. We show that the thermodynamic stabilities…

High Energy Physics - Theory · Physics 2020-10-16 Ran Li , Kun Zhang , Jin Wang

We investigate the dynamical critical behaviour of black hole phase transitions in anti de Sitter spacetime by extending the stochastic framework of free energy landscape dynamics to Kerr AdS black holes. By analyzing the Langevin evolution…

High Energy Physics - Theory · Physics 2026-05-18 Mozib Bin Awal , Prabwal Phukon

We study the phase transition and the kinetics of the four dimensional charged AdS black hole in GB gravity based on the free energy landscape. Below the critical temperature, the free energy landscape topography has the shape of double…

General Relativity and Quantum Cosmology · Physics 2020-12-15 Ran Li , Jin Wang

A recent interesting development in the dynamics of black hole phase transitions has been the so-called Gibbs free energy landscape approach. In this formalism, it is assumed that there exists a canonical ensemble of a series of black hole…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Choon-Lin Ho

The present thesis is devoted towards the study of various aspects of the phase transition phenomena occurring in black holes defined in an Anti-de-Sitter (AdS) space. Based on the fundamental principles of thermodynamics and considering a…

General Relativity and Quantum Cosmology · Physics 2014-03-19 Dibakar Roychowdhury

By treating black hole as the macroscopic stable state on the free energy landscape, we propose that the stochastic dynamics of the black hole phase transition can be effectively described by the Langevin equation or equivalently by the…

General Relativity and Quantum Cosmology · Physics 2021-11-03 Ran Li , Kun Zhang , Jin Wang

We study the generalized free energy of the dyonic AdS black hole in an ensemble with varying electric charge $q_E$ and fixed magnetic charge $q_M$. When we adjust the temperature $T$ and the electric potential $\Phi_E$ of the ensemble, the…

General Relativity and Quantum Cosmology · Physics 2023-11-15 Conghua Liu , Ran Li , Kun Zhang , Jin Wang

Phase transition is a core content of black hole thermodynamics. This study adopted the Kramer's escape rate method for describing the Brownian motion of particles in an external field to investigate the intensity of the phase transition…

General Relativity and Quantum Cosmology · Physics 2023-03-07 Zhen-Ming Xu , Bin Wu , Wen-Li Yang

In this work we consider black hole solutions to Einstein theory coupled to a nonlinear power-law electromagnetic field with a fixed exponent value. We study the extended phase space thermodynamics in canonical and grand canonical ensembles…

General Relativity and Quantum Cosmology · Physics 2021-12-08 Ramon Becar , P. A. Gonzalez , Joel Saavedra , Yerko Vasquez , Bin Wang

We study the first order phase transition of Euler-Heisenberg-AdS black hole based on free energy landscape. By solving the Fokker-Planck equation, we research the probability distribution of the system states. The small (large) black hole…

General Relativity and Quantum Cosmology · Physics 2023-05-11 Heng Dai , Zixu Zhao , Shuhang Zhang

In this paper, the Hawking-Page phase transitions between the black holes and thermal anti-de Sitter (AdS) space are studied with the Gauss-Bonnet term in the extended phase space, in which the varying cosmological constant plays the role…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Bing-Yu Su , Yuan-Yuan Wang , Nan Li

In this paper, we investigate the phase structure of a nonminimal coupled magnetic AdS black hole by connecting its thermodynamic properties with the dynamical behavior of orbiting particles, within the framework of Lyapunov exponent and…

General Relativity and Quantum Cosmology · Physics 2025-10-16 R. H. Ali , Zi-Yu Tang , Xiao-Mei Kuang

We study the thermodynamic behavior of static and spherically symmetric hairy black holes in massive gravity. In this case, the black hole is surrounded in a spherical cavity with a fixed temperature on the surface. It is observed that…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Behrouz Mirza , Zeinab Sherkatghanad
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