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The phase transition of a RN-AdS black hole is studied in details using Ehrenfest's equations. There is no discontinuity in entropy which signals a lack of any first order phase transition. We then show that although Ehrenfest's first…

General Relativity and Quantum Cosmology · Physics 2012-02-10 Rabin Banerjee , Sumit Ghosh , Dibakar Roychowdhury

We study Einstein-Maxwell-dilaton gravity models in four-dimensional anti-de Sitter (AdS) spacetime which admit the Reissner-Nordstrom (RN) black hole solution. We show that below a critical temperature the AdS-RN solution becomes unstable…

High Energy Physics - Theory · Physics 2010-08-20 Mariano Cadoni , Giuseppe D'Appollonio , Paolo Pani

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

In this paper, we consider an $\alpha^{\prime}$ corrected Reissner-Nordstr\"{o}m AdS black hole to study thermodynamics. We study the $P-V$ criticality and thermodynamical stability of the black hole. We obtained a first-order phase…

High Energy Physics - Theory · Physics 2024-07-15 Behnam Pourhassan , Sareh Eslamzadeh , Izzet Sakallı , Sudhaker Upadhyay

In this paper we analyze the phase transition phenomena in Born-Infeld AdS black holes using Ehrenfest's scheme of standard thermodynamics. The critical points are marked by the divergences in the heat capacity. In order to investigate the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Arindam Lala , Dibakar Roychowdhury

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

It is well known that there are black hole and the cosmological horizons for the Reissner-Nordstr\"{o}m-de Sitter spacetime. Although the thermodynamic quantities on the horizons are not irrelevant, they satisfy the laws of black hole…

General Relativity and Quantum Cosmology · Physics 2014-10-14 Li-Chun Zhang , Meng-Sen Ma , 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

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 thermodynamics of higher-dimensional singly spinning asymptotically AdS black holes in the canonical (fixed J) ensemble of extended phase space, where the cosmological constant is treated as pressure and the corresponding…

High Energy Physics - Theory · Physics 2013-11-27 Natacha Altamirano , David Kubiznak , Robert B. Mann

In this paper, we have investigated phase transitions in arbitrary spacetime dimensions for Born-Infeld AdS black holes. The phase transition points are characterised from the divergence of heat capacity of the black hole. Two well…

High Energy Physics - Theory · Physics 2020-03-03 Neeraj Kumar , Sukanta Bhattacharyya , Sunandan Gangopadhyay

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

In this paper, $n$-dimensional ($n=4p, p$ is a positive integer) $f(R)$-AdS black holes is divided into Schwazschild-AdS (SAdS) like ones and Reissner-Nordstr\"{o}m-AdS (RN-AdS) like ones. Thermodynamical stability of them in grand…

General Relativity and Quantum Cosmology · Physics 2019-01-07 Ming Zhang

We study the thermodynamics of four-dimensional Kerr-Newman-AdS black holes both in the canonical and the grand-canonical ensemble. The stability conditions are investigated, and the complete phase diagrams are obtained, which include the…

High Energy Physics - Theory · Physics 2009-10-31 Marco M. Caldarelli , Guido Cognola , Dietmar Klemm

We perform a study of phase transitions of RN-AdS black hole at its Davies points according to a generalized Ehrenfest classification of phase transition established on the basis of fractional derivatives. Davies points label the positions…

High Energy Physics - Theory · Physics 2023-02-15 Li-Hua Wang , Yun He , Meng-Sen Ma

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

Recently, extended phase space thermodynamics of Lovelock AdS black holes has been of great interest. To provide insight from a different perspective and gain a unified phase transition picture, non-extended phase space thermodynamics of…

General Relativity and Quantum Cosmology · Physics 2015-05-25 Jie-Xiong Mo , Wen-Biao Liu

We investigate the relations between the black hole shadow and charged AdS black hole critical behaviour in the extended phase space. Using the thermo-shadow formalism built-in [1], we reveal that the shadow radius can be considered as an…

General Relativity and Quantum Cosmology · Physics 2020-10-07 A. Belhaj , L. Chakhchi , H. El Moumni , J. Khalloufi , K. Masmar

In this paper, we study the phase tranisions in the extended holographic thermodynamics of Born-Infeld AdS black holes. The extended gravitational thermodynamics of black holes is related to the thermodynamics of the dual field theory by…

High Energy Physics - Theory · Physics 2023-11-21 Ning-Chen Bai , Li Song , Jun Tao

Considering a grand canonical ensemble, we study the phase structures and transitions of RN black holes surrounded by quintessence dark energy on two different boundary conditions, namely AdS space and a Dirichlet wall. For AdS space, under…

General Relativity and Quantum Cosmology · Physics 2022-06-24 Yuchen Huang , Hongmei Jing , Jun Tao , Feiyu Yao
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