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Thermodynamic Variables of First-Order Entropy Corrected Lovelock-AdS Black Holes : P-V Criticality Analysis
General Relativity and Quantum Cosmology · Submitted 15 Mar 2019
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Further we study the P-V criticality and stability and find that presence of logarithmic correction in it is necessary to have critical points and stable phases.
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The abstract, sentence by sentence
We investigate the effect of thermal fluctuations on the thermodynamics of a Lovelock-AdS black hole. Taking the first order logarithmic correction term in entropy we analyze the thermodynamic potentials like Helmholtz free energy, enthalpy and Gibbs free energy. We find that all the thermodynamic potentials are decreasing functions of correction coefficient $\alpha$. We also examined this correction coefficient tmust be positive by analysing $P-V$ diagram. Further we study the P-V criticality and stability and find that presence of logarithmic correction in it is necessary to have critical points and stable phases. When P-V criticality appears, we calculate the critical volume $V_c$, critical pressure $P_c$ and critical temperature $T_c$ using different equations and show that there is no critical point for this black hole without thermal fluctuations. We also study the geometrothermodynamics of this kind of black holes. The Ricci scalar of the Ruppeiner metric is graphically analysed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate the effect of thermal fluctuations on the thermodynamics of a Lovelock-AdS black hole. | contribution 0.95 | 0.93 | 0.04 | unclear 0.62 |
| s1 | Taking the first order logarithmic correction term in entropy we analyze the thermodynamic potentials like Helmholtz free energy, enthalpy and Gibbs free energy. | method 0.91 | 0.92 | 0.04 | asserted 0.65 |
| s2 | We find that all the thermodynamic potentials are decreasing functions of correction coefficient $\alpha$. | result 1.00 | 0.96 | 0.18 | asserted 1.00 |
| s3 | We also examined this correction coefficient tmust be positive by analysing $P-V$ diagram. | result 0.95 | 0.89 | 0.12 | asserted 0.98 |
| s4 | Further we study the P-V criticality and stability and find that presence of logarithmic correction in it is necessary to have critical points and stable phases. | result 0.92 | 0.95 | 0.47 | asserted 1.00 |
| s5 | When P-V criticality appears, we calculate the critical volume $V_c$, critical pressure $P_c$ and critical temperature $T_c$ using different equations and show that there is no critical point for this black hole without thermal fluctuations. | result 0.93 | 0.96 | 0.30 | asserted 1.00 |
| s6 | We also study the geometrothermodynamics of this kind of black holes. | contribution 0.98 | 0.92 | 0.02 | asserted 0.76 |
| s7 | The Ricci scalar of the Ruppeiner metric is graphically analysed. | method 0.50 | 0.91 | 0.03 | asserted 0.90 |
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The paper
Original abstract
We investigate the effect of thermal fluctuations on the thermodynamics of a Lovelock-AdS black hole. Taking the first order logarithmic correction term in entropy we analyze the thermodynamic potentials like Helmholtz free energy, enthalpy and Gibbs free energy. We find that all the thermodynamic potentials are decreasing functions of correction coefficient $\alpha$. We also examined this correction coefficient tmust be positive by analysing $P-V$ diagram. Further we study the P-V criticality and stability and find that presence of logarithmic correction in it is necessary to have critical points and stable phases. When P-V criticality appears, we calculate the critical volume $V_c$, critical pressure $P_c$ and critical temperature $T_c$ using different equations and show that there is no critical point for this black hole without thermal fluctuations. We also study the geometrothermodynamics of this kind of black holes. The Ricci scalar of the Ruppeiner metric is graphically analysed.
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How the literature uses it
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Papers citing it
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Recently the analysis of the $p-V$ critical behaviors (in the extended phase space) have been under studied extensively [ref] .
Thermodynamic extended phase space and $P-V$ criticality of black holes at Pure Lovelock gravity · Phase Transitions · 0.88
What it cites · 5 sentences without a confident label
Cites as background 1 paper
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The original entropy of a BH is given by $S_0=A/4$, where $A$ is the area of event horizon of the BH in AdS space and the corrected entropy may be written as $S=S_0+ αln A+ γ_1 A^-1+ γ_2 A^-2+........$, where $α, γ_1, γ_2,......$ are the coefficients which depend on different BH thermodynamic parameters [ref] .
P-V criticality of first-order entropy corrected AdS black holes in massive gravity · Introduction: · 0.89
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