Phase transition and thermodynamic geometry of topological dilaton black holes in gravitating logarithmic nonlinear electrodynamics

2015 ◽  
Vol 91 (12) ◽  
Author(s):  
A. Sheykhi ◽  
F. Naeimipour ◽  
S. M. Zebarjad
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Nonlinear Electrodynamics ◽  
Thermodynamic Geometry ◽  
Dilaton Black Holes

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 Phase transition and thermodynamic geometry of Einstein-Maxwell-dilaton black holes

2015 ◽  
Vol 92 (6) ◽  
Author(s):  
S. H. Hendi ◽  
A. Sheykhi ◽  
S. Panahiyan ◽  
B. Eslam Panah
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Thermodynamic Geometry ◽  
Dilaton Black Holes

scholarly journals Thermodynamics and reentrant phase transition for logarithmic nonlinear charged black holes in massive gravity

2020 ◽  
Vol 29 (12) ◽  
pp. 2050081
Author(s):  
S. Rajaee Chaloshtary ◽  
M. Kord Zangeneh ◽  
S. Hajkhalili ◽  
A. Sheykhi ◽  
S. M. Zebarjad
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Quantum Effect ◽  
Massive Gravity ◽  
Nonlinear Electrodynamics ◽  
Model Parameters ◽  
Thermodynamic Quantities ◽  
Field Equations ◽  
Black Hole Solutions

We investigate a new class of [Formula: see text]-dimensional topological black hole solutions in the context of massive gravity and in the presence of logarithmic nonlinear electrodynamics. Exploring higher-dimensional solutions in massive gravity coupled to nonlinear electrodynamics is motivated by holographic hypothesis as well as string theory. We first construct exact solutions of the field equations and then explore the behavior of the metric functions for different values of the model parameters. We observe that our black holes admit the multi-horizons caused by a quantum effect called anti-evaporation. Next, by calculating the conserved and thermodynamic quantities, we obtain a generalized Smarr formula. We find that the first law of black holes thermodynamics is satisfied on the black hole horizon. We study thermal stability of the obtained solutions in both canonical and grand canonical ensembles. We reveal that depending on the model parameters, our solutions exhibit a rich variety of phase structures. Finally, we explore, for the first time without extending thermodynamics phase space, the critical behavior and reentrant phase transition for black hole solutions in massive gravity theory. We realize that there is a zeroth-order phase transition for a specified range of charge value and the system experiences a large/small/large reentrant phase transition due to the presence of nonlinear electrodynamics.

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.

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