scholarly journals Phase Transition of Black Holes in Brans–Dicke Born–Infeld Gravity through Geometrical Thermodynamics

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
S. H. Hendi ◽  
M. S. Talezadeh ◽  
Z. Armanfard
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Canonical Ensemble ◽  
Ricci Scalar ◽  
New Method ◽  
Thermodynamic Approach ◽  
Study Phase ◽  
Transition Points

Using the geometrical thermodynamic approach, we study phase transition of Brans–Dicke Born–Infeld black holes. We apply introduced methods and describe their shortcomings. We also use the recently proposed new method and compare its results with those of canonical ensemble. By considering the new method, we find that its Ricci scalar diverges in the places of phase transition and bound points. We also show that the bound point can be distinguished from the phase transition points through the sign of thermodynamical Ricci scalar around its divergencies.

scholarly journals Phase Transitions, Geometrothermodynamics, and Critical Exponents of Black Holes with Conformal Anomaly

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Jie-Xiong Mo ◽  
Wen-Biao Liu
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Phase Transitions ◽  
Scalar Curvature ◽  
Critical Exponents ◽  
Phase Structure ◽  
Scaling Laws ◽  
Canonical Ensemble ◽  
Conformal Anomaly ◽  
Transition Points

We investigate the phase transitions of black holes with conformal anomaly in canonical ensemble. Some interesting and novel phase transition phenomena have been discovered. It is shown that there are striking differences in both Hawking temperature and phase structure between black holes with conformal anomaly and those without it. Moreover, we probe in detail the dependence of phase transitions on the choice of parameters. The results show that black holes with conformal anomaly have much richer phase structure than those without it. There would be two, only one, or no phase transition points depending on the parameters. The corresponding parameter regions are derived both numerically and graphically. Geometrothermodynamics are built up to examine the phase structure we have discovered. It is shown that Legendre invariant thermodynamic scalar curvature diverges exactly where the specific heat diverges. Furthermore, critical behaviors are investigated by calculating the relevant critical exponents. And we prove that these critical exponents satisfy the thermodynamic scaling laws.

Extended phase space and thermodynamic geometry of topological Born–Infeld-dilaton black holes

2016 ◽  
Vol 25 (06) ◽  
pp. 1650062 ◽  
Author(s):  
A. Sheykhi ◽  
S. Hajkhalili
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Canonical Ensemble ◽  
Nonlinear Electrodynamics ◽  
Dilaton Field ◽  
Extended Phase ◽  
Thermodynamic Geometry ◽  
Transition Points ◽  
The Stability ◽  
Grand Canonical

We consider an [Formula: see text]-dimensional topological black holes of Einstein-dilaton gravity in the presence of Born–Infeld nonlinear electrodynamics. We investigate the thermal stability in the grand canonical ensemble and show that depending on the values of the parameters, these types of black holes can experience an instable phase and with changing of the metric parameters, the stability can be influenced. Also, we study the phase transition of these black holes via thermodynamic geometry approach and show that two types of phase transition can be occurred. Finally, we extend thermodynamical space by considering dilaton field as an extensive thermodynamic parameter and check the phase transition points.

scholarly journals P–V criticality and geometrical thermodynamics of black holes with Born–Infeld type nonlinear electrodynamics

2016 ◽  
Vol 25 (01) ◽  
pp. 1650010 ◽  
Author(s):  
S. H. Hendi ◽  
S. Panahiyan ◽  
B. Eslam Panah
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Heat Capacity ◽  
Phase Space ◽  
Critical Behavior ◽  
Nonlinear Electrodynamics ◽  
Extended Phase Space ◽  
Maxwell Theory ◽  
Extended Phase ◽  
Transition Points

In this paper, we take into account the black-hole solutions of Einstein gravity in the presence of logarithmic and exponential forms of nonlinear electrodynamics. At first, we consider the cosmological constant as a dynamical pressure to study the phase transitions and analogy of the black holes with the Van der Waals liquid–gas system in the extended phase space. We make a comparison between linear and nonlinear electrodynamics and show that the lowest critical temperature belongs to Maxwell theory. Also, we make some arguments regarding how power of nonlinearity brings the system to Schwarzschild-like and Reissner–Nordström-like limitations. Next, we study the critical behavior of the system in the context of heat capacity. We show that critical behavior of system is similar to the one in phase diagrams of extended phase space. We also extend the study of phase transition points through geometrical thermodynamics (GTs). We introduce two new thermodynamical metrics for extended phase space and show that divergencies of thermodynamical Ricci scalar (TRS) of the new metrics coincide with phase transition points of the system. Then, we introduce a new method for obtaining critical pressure and horizon radius by considering denominator of the heat capacity.

A new method to study phase transition in 3D Heisenberg model

2008 ◽  
Vol 372 (23) ◽  
pp. 4151-4156
Author(s):  
Xiaoling Cui ◽  
Junpeng Cao ◽  
Yupeng Wang
Keyword(s):  
Phase Transition ◽  
Heisenberg Model ◽  
New Method ◽  
Study Phase

scholarly journals Thermodynamics and glassy phase transition of regular black holes

2018 ◽  
Vol 33 (16) ◽  
pp. 1850089 ◽  
Author(s):  
Wajiha Javed ◽  
Z. Yousaf ◽  
Zunaira Akhtar
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Critical Points ◽  
Glassy Phase ◽  
Canonical Ensemble ◽  
Distribution Functions ◽  
Logistic Distribution ◽  
Charged Black Holes ◽  
Transition Curves ◽  
Grand Canonical

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.

Further investigation on phase transitions of Born–Infeld AdS black holes

2014 ◽  
Vol 29 (18) ◽  
pp. 1450087
Author(s):  
Jie-Xiong Mo ◽  
Gu-Qiang Li ◽  
Wen-Biao Liu
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Phase Structure ◽  
Canonical Ensemble ◽  
Standard Analysis ◽  
Ads Black Holes ◽  
The Impact ◽  
Constant Charge

In this paper, we further investigate the phase transitions of Born–Infeld AdS black holes in canonical ensemble. We take a different approach to investigate in detail the impact of the choice of parameters. Some interesting phase transition phenomena which has been ignored before are discovered. To examine the phase structure we find, we carry out the standard analysis of the behavior of free energy. We also apply the framework of geometrothermodynamics into Born–Infeld AdS black holes. It is shown that the Legendre invariant thermodynamic scalar curvature diverges exactly where the specific heat at constant charge diverges, which confirms the correctness of the phase structure we find. It is worth noting that although the phase structure shares similarity with RN-AdS black hole, it also has its unique characteristics due to influence of Born–Infeld electrodynamics.

scholarly journals Scalarized Einstein–Maxwell-scalar black holes in anti-de Sitter spacetime

2021 ◽  
Vol 81 (10) ◽  
Author(s):  
Guangzhou Guo ◽  
Peng Wang ◽  
Houwen Wu ◽  
Haitang Yang
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Structure ◽  
Canonical Ensemble ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Maxwell Fields ◽  
Domain Of Existence ◽  
Black Hole Solutions

AbstractIn this paper, we study spontaneous scalarization of asymptotically anti-de Sitter charged black holes in an Einstein–Maxwell-scalar model with a non-minimal coupling between the scalar and Maxwell fields. In this model, Reissner–Nordström-AdS (RNAdS) black holes are scalar-free black hole solutions, and may induce scalarized black holes due to the presence of a tachyonic instability of the scalar field near the event horizon. For RNAdS and scalarized black hole solutions, we investigate the domain of existence, perturbative stability against spherical perturbations and phase structure. In a micro-canonical ensemble, scalarized solutions are always thermodynamically preferred over RNAdS black holes. However, the system has much richer phase structure and phase transitions in a canonical ensemble. In particular, we report a RNAdS BH/scalarized BH/RNAdS BH reentrant phase transition, which is composed of a zeroth-order phase transition and a second-order one.

Einstein–Gauss–Bonnet black holes with a perturbative nonlinear electrodynamics: Geometrical thermodynamics

2017 ◽  
Vol 26 (04) ◽  
pp. 1750026
Author(s):  
S. H. Hendi ◽  
S. Panahiyan ◽  
M. Momennia ◽  
B. Eslam Panah
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Point Of View ◽  
Nonlinear Electrodynamics ◽  
Curvature Scalar ◽  
Maxwell Theory ◽  
Divergence Points ◽  
Transition Points ◽  
Thermodynamical Behavior ◽  
Perturbative Corrections

Taking into account the perturbative corrections of Einstein (EN)–Maxwell gravity, we study thermodynamical behavior of the black holes in the context of geometrical thermodynamics (GT). We consider a quadratic Maxwell invariant as a correction of Maxwell theory in electromagnetic viewpoint and Gauss–Bonnet (GB) gravity as a correction of EN theory in gravitational point of view. We study thermodynamical phase transition and show that employing Weinhold, Ruppeiner and Quevedo approaches fails to produce desirable results. Next, Hendi–Panahiyan–Eslam Panah–Momennia (HPEM) metric will be employed in order to study GT of the solutions. We show that this metric is capable of matching all the divergence points of its thermodynamical curvature scalar with phase transition and bound points. Moreover, the effects of the variation of different parameters on phase transition points will be investigated.

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