scholarly journals Thermodynamics and Van der Waals phase transition of charged black holes in flat spacetime via Rényi statistics

2020 ◽  
Vol 102 (6) ◽  
Author(s):  
Chatchai Promsiri ◽  
Ekapong Hirunsirisawat ◽  
Watchara Liewrian
2018 ◽  
Vol 33 (35) ◽  
pp. 1850210 ◽  
Author(s):  
C. L. Ahmed Rizwan ◽  
A. Naveena Kumara ◽  
Deepak Vaid ◽  
K. M. Ajith

In this paper, we investigate the Joule–Thomson effects of AdS black holes with a global monopole. We study the effect of the global monopole parameter [Formula: see text] on the inversion temperature and isenthalpic curves. The obtained result is compared with Joule–Thomson expansion of van der Waals fluid, and the similarities were noted. Phase transition occuring in the extended phase space of this black hole is analogous to that in van der Waals gas. Our study shows that global monopole parameter [Formula: see text] plays a very important role in Joule–Thomson expansion.


2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Shobhit Sachan

We study analytical solutions of charged black holes and thermally charged AdS with generalized warped factors in Einstein-Maxwell-Dilaton system. We calculate Euclidean action for charged AdS and thermally charged AdS. The actions in both backgrounds are regularized by the method of background subtraction. The study of phase transition between charged black hole and thermally charged AdS gives an insight into the confinement/deconfinement transition. The plots of grand potential versus temperature and chemical potential versus transition temperature are obtained.


2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Niloofar Abbasvandi ◽  
Masoumeh Tavakoli ◽  
Robert B. Mann

Abstract We investigate the thermodynamic behaviour of Lorentzian Dyonic Taub-NUT Black Hole spacetimes. We consider two possibilities in their description: one in which their entropy is interpreted to be one quarter of the horizon area (the horizon entropy), and another in which the Misner string also contributes to the entropy (the Noether charge entropy). We find that there can be as many as three extremal black holes (or as few as zero) depending on the choice of parameters, and that the dependence of the free energy on temperature — and the resultant phase behaviour — depends very much on which of these situations holds. Some of the phase behaviour we observe holds regardless of which interpretation of the entropy holds. However another class of phase transition structures occurs only if the Noether charge interpretation of the entropy is adopted.


2018 ◽  
Vol 33 (16) ◽  
pp. 1850089 ◽  
Author(s):  
Wajiha Javed ◽  
Z. Yousaf ◽  
Zunaira Akhtar

This paper is aimed to study thermodynamical properties of phase transition for regular charged black holes (BHs). In this context, we have considered two different forms of BH metrics supplemented with exponential and logistic distribution functions and investigated the recent expansion of phase transition through grand canonical ensemble. After exploring the corresponding Ehrenfest’s equation, we found the second-order background of phase transition at critical points. In order to check the critical behavior of regular BHs, we have evaluated some corresponding explicit relations for the critical temperature, pressure and volume and draw certain graphs with constant values of Smarr’s mass. We found that for the BH metric with exponential configuration function, the phase transition curves are divergent near the critical points, while glassy phase transition has been observed for the Ayón–Beato-García–Bronnikov (ABGB) BH in n = 5 dimensions.


2018 ◽  
Vol 33 (03) ◽  
pp. 1850022 ◽  
Author(s):  
Gao-Ming Deng ◽  
Jinbo Fan ◽  
Xinfei Li ◽  
Yong-Chang Huang

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 thermodynamical quantities of the black holes exhibit an interesting dependence on the internal global monopole, and they perfectly satisfy both the first law of thermodynamics and Smarr relation. Furthermore, analysis of the local and the global thermodynamical stability manifests that the charged AdS black hole undergoes an elegant phase transition at critical point. Of special interest, critical behaviors of the black holes resemble a Van der Waals liquid–gas system. Our results not only reveal the effect of a global monopole on thermodynamics of AdS black holes, but also further support that Van der Waals-like behavior of the black holes is a universal phenomenon.


2020 ◽  
Vol 35 (13) ◽  
pp. 2050099
Author(s):  
M. Umair Shahzad ◽  
M. Zeshan Ashraf

In this paper, we study the effect of thermal fluctuations on the thermodynamics of braneworld black holes. Due to thermal fluctuations, the correction terms will produce various thermodynamical quantities such as enthalpy, entropy and specific heats. We develop the canonical and grand canonical ensembles in the presence of corrected entropy and examine the phase transition of braneworld black holes. It is observed that the braneworld black holes show more stability by utilizing the logarithmic-corrected entropy. Finally, we show that braneworld black holes represent a holographic dual of van der Waals fluid. We utilize logarithmic-corrected entropy and demonstrate the validity of the holographic picture. P–V criticality, critical behaviors and stability of braneworld black holes are also discussed.


2017 ◽  
Vol 32 (35) ◽  
pp. 1750204 ◽  
Author(s):  
Gao-Ming Deng ◽  
Yong-Chang Huang

The phase transition and critical behaviors of charged AdS black holes in [Formula: see text] gravity with a conformally invariant Maxwell (CIM) source and constant curvature are further investigated. As a highlight, this research is carried out by employing new state parameters [Formula: see text] and contributes to deeper understanding of the thermodynamics and phase structure of black holes. Our analyses manifest that the charged [Formula: see text]-CIM AdS black hole undergoes a first-order small–large black hole phase transition, and the critical behaviors qualitatively behave like a Van der Waals liquid–vapor system. However, differing from the case in Einstein’s gravity, phase structures of the black holes in [Formula: see text] theory exhibit an interesting dependence on gravity modification parameters. Moreover, we adopt the thermodynamic geometry to probe the black hole microscopic properties. The results show that, on the one hand, both the Ruppeiner curvature and heat capacity diverge exactly at the critical point, on the other hand, the [Formula: see text]-CIM AdS black hole possesses the property as ideal Fermi gases. Of special interest, we discover a microscopic similarity between the black holes and a Van der Waals liquid–vapor system.


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