scholarly journals Impact of Thermal Fluctuations on Logarithmic Corrected Massive Gravity Charged Black Hole

Entropy ◽  
2021 ◽  
Vol 23 (10) ◽  
pp. 1269
Author(s):  
Abdul Jawad ◽  
Shahid Chaudhary ◽  
Kazuharu Bamba
Keyword(s):  
Black Hole ◽  
Free Energy ◽  
Thermal Fluctuations ◽  
High Energy ◽  
Massive Gravity ◽  
Charged Black Hole ◽  
Nonlinearity Parameter ◽  
Thermodynamic Quantities ◽  
Substantial Impact ◽  
The Stability

We investigate the influence of the first-order correction of entropy caused by thermal quantum fluctuations on the thermodynamics of a logarithmic corrected charged black hole in massive gravity. For this black hole, we explore the thermodynamic quantities, such as entropy, Helmholtz free energy, internal energy, enthalpy, Gibbs free energy and specific heat. We discuss the influence of the topology of the event horizon, dimensions and nonlinearity parameter on the local and global stability of the black hole. As a result, it is found that the holographic dual parameter vanishes. This means that the thermal corrections have no significant role to disturb the holographic duality of the logarithmic charged black hole in massive gravity, although the thermal corrections have a substantial impact on the thermodynamic quantities in the high-energy limit and the stability conditions of black holes.

scholarly journals Thermal fluctuations to the thermodynamics of a non-rotating BTZ black hole

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Nadeem-ul-islam ◽  
Prince A Ganai ◽  
Sudhaker Upadhyay
Keyword(s):  
Black Hole ◽  
Free Energy ◽  
Isothermal Compressibility ◽  
Equations Of State ◽  
Thermal Fluctuations ◽  
Thermodynamic Quantities ◽  
Leading Order ◽  
Btz Black Hole ◽  
Horizon Radius ◽  
First Order

Abstract We discuss the effect of small statistical thermal fluctuations around the equilibrium of the thermodynamics of a small non-rotating BTZ black hole. This is done by evaluating the leading-order corrections to the thermodynamical equations of state, namely entropy, free energy, internal energy, pressure, enthalpy, Gibbs free energy, and specific heat, quantitatively. In order to analyze the effects of perturbations on the thermodynamics, we plot various graphs and compare corrected and non-corrected thermodynamic quantities with respect to the event horizon radius of a non-rotating BTZ black hole. We also derive the first-order corrections to isothermal compressibility.

Quantum corrections to AdS black hole in massive gravity

2019 ◽  
Vol 34 (35) ◽  
pp. 1950225 ◽  
Author(s):  
Nadeem-ul-islam ◽  
Prince A. Ganai
Keyword(s):  
Black Hole ◽  
Free Energy ◽  
Event Horizon ◽  
Massive Gravity ◽  
Quantum Corrections ◽  
Thermodynamic Quantities ◽  
Leading Order ◽  
Horizon Radius ◽  
First Order ◽  
Qualitative Picture

In this paper, we investigate the effect of quantum corrections on the thermodynamics of AdS black hole in massive gravity. We compute the leading order corrections to the entropy of AdS black hole and then plot the entropy as a function of event horizon radius so as to have a comparative analysis between the corrected and the uncorrected entropy densities. Furthermore, we also evaluate the first-order leading corrections to other thermodynamic quantities like free energy, internal energy, pressure, enthalpy, and Gibbs free energy and later plot these quantities against event horizon radius for different values of correction parameter in order to have a qualitative picture of the effect that quantum corrections lead to the thermodynamics of massive AdS black hole.

Thermodynamic phase transition of quantum-corrected Schwarzschild black hole based on nonsingular temperature

2019 ◽  
Vol 34 (21) ◽  
pp. 1950161 ◽  
Author(s):  
Md. Shahjalal
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Free Energy ◽  
Hole State ◽  
Thermodynamic Quantities ◽  
Schwarzschild Black Hole ◽  
Radiation Process ◽  
Spacetime Geometry ◽  
Large Black Hole ◽  
The Stability

Due to thermal radiation process, the temperature of the Schwarzschild black hole diverges at the time the black hole evaporates, while it is natural to expect a vanishing temperature, since the spacetime geometry becomes Minkowskian whose intrinsic temperature is identically zero. Recently, a nonsingular temperature has been proposed in this research line, which follows the Hawking temperature for the large black hole system, at the same time becomes null in the limiting case the black hole mass tends to zero. In this paper, the stability and the phase transition of the quantum-corrected Schwarzschild black hole are investigated based on this modified temperature. For that, the thermodynamic quantities like the local temperature, the heat capacity, and the off-shell free energy are calculated. The results show that the free energy of the black hole follows the characteristic swallow-tail behavior, implying the existence of an unstable intermediate black hole state quickly decaying into the stable small or large black hole.

scholarly journals Stability of remnants of Bardeen regular black holes in presence of thermal fluctuations

2021 ◽  
pp. 2130023
Author(s):  
Yawar H. Khan ◽  
Sudhaker Upadhyay ◽  
Prince A. Ganai
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Free Energy ◽  
Thermal Fluctuations ◽  
Thermodynamic Quantities ◽  
Maximum Increase ◽  
Extended Phase ◽  
Information Loss Paradox ◽  
Thermodynamic Potentials ◽  
Black Hole Remnant

In this paper, we discuss remnants of the Bardeen regular black hole motivated by using the concept of thermal fluctuations. First, we derive the equilibrium values of various thermodynamic quantities like entropy, Hawking temperature, pressure, internal energy, Helmholtz free energy and Gibbs free energy in the non-extended phase space. We then discuss geometrothermodynamics (GTD) of Bardeen black hole to study its stability. Next, we estimate the size of black hole remnant in terms of some known parameters of the black hole solution. Motivated by the fact that estimation of size, characteristics and stability of remnants of black holes could further increase our understanding of binary collisions, information loss paradox and dark energy, the black hole remnant, which gives an idea about stable mass left over after evaporation of black hole, is seen to owe its presence due to thermal fluctuations. We see that the thermal fluctuations bring an overall increase in entropy curve. However, in presence of thermal fluctuations, a positive kink, which signifies a maximum increase in the value of entropy, occurs at a certain value of horizon, which is exactly equal to the remnant radius. We observe that the thermal fluctuations, which are characteristics of quantum gravity, lead to stable values of thermodynamic quantities near the remnant radius. In presence of thermal fluctuations, we then derive various corrected thermodynamic potentials and also discuss the validity of first law of black hole thermodynamics for Bardeen black hole.

Interactions gauches et chemins réactionnels. Etudes conformationnelles d'hydroxyalkyl-4 cyclohexènes contraints

1981 ◽  
Vol 59 (5) ◽  
pp. 859-864
Author(s):  
Jeanine Bouteiller-Prati ◽  
Jean-Claude Bouteiller ◽  
Jean-Pierre Aycard
Keyword(s):  
Free Energy ◽  
Reaction Path ◽  
High Energy ◽  
Nmr Study ◽  
Conformational Equilibria ◽  
The Stability ◽  
Cis And Trans ◽  
Conformational Free Energy

From J and δ values determined by the nmr study of alcohols obtained by addition of CH3Li and LiAlH4 to the exocyclic carbonyl of cis and trans 3-alkyl 4-carbomethoxy (or acetyl) cyclohexenes (alkyl = H, CH3, C(CH3)3), we have deduced the conformational free energy values (ΔG0X) of the CH(CH3)OH and C(CH3)2OH substituents (0.62 and 2.08 kcal mol−1 respectively) as well as the values for some related conformational equilibria. For transtert-butyl derivatives the stability of the diaxial conformer agrees with a reaction path involving high energy conformers.

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.

Thermodynamics of a 3 — D charged rotating hairy black hole

Open Physics ◽  
2014 ◽  
Vol 12 (9) ◽  
Author(s):  
Jalil Naji ◽  
Saba Heydari ◽  
Ali Amjadi
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Free Energy ◽  
Total Energy ◽  
Specific Heat ◽  
Three Dimensions ◽  
Study Phase ◽  
First Law Of Thermodynamics ◽  
The Stability ◽  
Hairy Black Hole

AbstractIn this paper, we consider a charged rotating black hole in three dimensions with a scalar charge, and discuss thermodynamics quantities. We find effects of the black hole parameters on the temperature, entropy, free energy, total energy and specific heat. We also investigate the stability of the black hole and study phase transition. We consider the first law of thermodynamics and find that satisfied.

scholarly journals Stability and phase transition of rotating Kaluza–Klein black holes

2021 ◽  
Vol 81 (12) ◽  
Author(s):  
Seyed Hossein Hendi ◽  
Somayeh Hajkhalili ◽  
Mubasher Jamil ◽  
Mehrab Momennia
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Canonical Ensemble ◽  
Quasinormal Modes ◽  
Scalar Perturbation ◽  
Thermodynamic Quantities ◽  
Resonance Modes ◽  
Maxwell Electrodynamics ◽  
The Stability ◽  
Kaluza Klein

AbstractIn this paper, we investigate the thermodynamics and phase transitions of a four-dimensional rotating Kaluza–Klein black hole solution in the presence of Maxwell electrodynamics. Calculating the conserved and thermodynamic quantities shows that the first law of thermodynamics is satisfied. To find the stable black hole’s criteria, we check the stability in the canonical ensemble by analyzing the behavior of the heat capacity. We also consider a massive scalar perturbation minimally coupled to the background geometry of the four-dimensional static Kaluza–Klein black hole and investigate the quasinormal modes by employing the Wentzel–Kramers–Brillouin (WKB) approximation. The anomalous decay rate of the quasinormal modes spectrum is investigated by using the sixth-order WKB formula and quasi-resonance modes of the black hole are studied with averaging of Padé approximations as well.

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