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Maxwell equal area law is an important and traditional analytical tool in thermodynamic phase transition, especially in the calculation of gas-liquid phase transition, which reconciles the theoretical calculation with the experimental…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Zhen-Ming Xu , Yu-Shan Wang , Bin Wu , Wen-Li Yang

In this paper, using Maxwell's equal-area law we study the phase transition of charged AdS black holes by choosing different independent conjugate variables. As is well known, the phase transition can be characterized by the state function…

High Energy Physics - Theory · Physics 2020-12-07 Xiong-Ying Guo , Huai-Fan Li , Ren Zhao

In order to achieve a deeper understanding of gravity theories, it is important to further investigate the thermodynamic properties of black hole at the critical point, besides the phase transition and critical behaviors. In this paper, by…

High Energy Physics - Theory · Physics 2018-01-08 Yu-Bo Ma , Ren Zhao , Shuo Cao

With the help of the parametric solution of the Maxwell equal area law for the Gauss-Bonnet AdS black hole in five dimensions, we find the second analytical solution to the first order phase transition. We analyze the asymptotic behaviors…

High Energy Physics - Theory · Physics 2018-11-07 Yan-Gang Miao , Zhen-Ming Xu

In this paper, we consider the solutions of Einstein gravity in the presence of a generalized Maxwell theory, namely power Maxwell invariant. First, we investigate the analogy of nonlinear charged black hole solutions with the Van der Waals…

High Energy Physics - Theory · Physics 2013-11-12 S. H. Hendi , M. H. Vahidinia

Phase transition of RN-AdS black hole is investigated from a new perspective. Not only the cosmological constant is treated as pressure, but also the spatial curvature of black hole is treated as topological charge. We obtain the extended…

General Relativity and Quantum Cosmology · Physics 2019-02-28 Shan-Quan Lan

Utilizing the holographic dictionary from the proposal that treats Newton's constant as a thermodynamic variable, we establish a thermodynamic topological equivalence between the AdS black holes in the bulk and the thermal states in the…

High Energy Physics - Theory · Physics 2024-08-21 Tran N. Hung , Cao H. Nam

We investigate the thermodynamics and critical phenomena for four dimensional RN-AdS and Kerr-AdS black holes in the canonical ensemble both for the normal and the extended phase space employing the framework of thermodynamic geometry. The…

High Energy Physics - Theory · Physics 2018-10-23 Pankaj Chaturvedi , Sayid Mondal , Gautam Sengupta

We present the construction of Maxwell's equal area law for the Guass-Bonnet AdS black holes in $d=5,6$ and third order Lovelock AdS black holes in $d=7,8$. The equal area law can be used to find the number and location of the points of…

General Relativity and Quantum Cosmology · Physics 2016-10-12 Hao Xu , Zhen-Ming Xu

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

In this paper, we show the relation between the thermodynamic geometry of a four-dimensional Reissner-Nordstrom-AdS (RN-AdS) black hole and non-local observables in boundary field theory. Instead of introducing the critical point…

General Relativity and Quantum Cosmology · Physics 2022-10-18 Chao Wang , Bin Wu , Zhen Ming Xu , 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

Thermodynamical properties of charged AdS black holes with a global monopole still remain obscure. In this paper, we investigate the thermodynamics and phase transition of the black holes in the extended phase space. It is shown that…

General Relativity and Quantum Cosmology · Physics 2018-02-28 Gao-Ming Deng , Jinbo Fan , Xinfei Li , Yong-Chang Huang

In this paper, we consider the phase transition of black hole in power Maxwell invariant by means of Maxwell's equal area law. First, we review and study the analogy of nonlinear charged black hole solutions with the Van der Waals…

General Relativity and Quantum Cosmology · Physics 2018-03-26 Huai-Fan Li , Xiong-ying Guo , Hui-Hua Zhao , Ren Zhao

The thermodynamics and phase transitions of charged RN-AdS and rotating Kerr-AdS black holes in a generalized Randall-Sundrum braneworld are investigated in the framework of thermodynamic geometry. A detailed analysis of the thermodynamics,…

High Energy Physics - Theory · Physics 2016-12-20 Pankaj Chaturvedi , Gautam Sengupta

The phase transition of Reissner-Nordstr\"om black holes in $(n+1)$-dimensional anti-de Sitter spacetime is studied in details using the thermodynamic analogy between a RN-AdS black hole and a van der Waals liquid gas system. We first…

High Energy Physics - Theory · Physics 2015-03-19 Chao Niu , Yu Tian , Xiaoning Wu

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

We investigate the thermodynamics of phase transition for $ (n+1) $ dimensional Reissner Nordstrom (RN)-AdS black holes using a grand canonical ensemble. This phase transition is characterized by a discontinuity in specific heat. The phase…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Rabin Banerjee , Dibakar Roychowdhury

We investigate phase transitions and critical phenomena of four dimensional dyonic charged AdS black holes in the framework of thermodynamic geometry. In a mixed canonical grand canonical ensemble with a fixed electric charge and varying…

High Energy Physics - Theory · Physics 2014-12-15 Pankaj Chaturvedi , Anirban Das , Gautam Sengupta

The topological charge $\epsilon$ of AdS black hole is introduced in Ref.[1,2], where a complete thermodynamic first law is obtained. In this paper, we investigate a new phase transition related to the topological charge in Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2019-02-28 Shan-Quan Lan , Gu-Qiang Li , Jie-Xiong Mo , Xiao-Bao Xu
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