Thermodynamic Variables of First-Order Entropy Corrected Lovelock-AdS Black Holes : P-V Criticality Analysis

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.

12 figures

References in corpus (10)

• Thermodynamics of Black Holes in Massive Gravity
• P-V criticality in the extended phase space of black holes in massive gravity
• Thermodynamics of a Sufficient Small Singly Spinning Kerr-AdS Black Hole
• Logarithmic corrections of charged hairy black hole in (2+1) dimension
• No Existence of Black Holes at LHC Due to Minimal Length in Quantum Gravity
• Quantum corrections to thermodynamics of quasitopological black holes
• Thermal Fluctuations in a Hyperscaling Violation Background
• Thermodynamics and galactic clustering with a modified gravitational potential
• Thermodynamic Studies of Different Black Holes with Modifications of Entropy
• A Study of Phase Transition in Black Hole Thermodynamics

Cited by in corpus (2)

• Thermal fluctuations, quasi-normal modes and phase transition of the charged AdS black hole with perfect fluid dark matter
• Thermodynamics of $d$-Dimensional Charged AdS (Anti-de Sitter) Black Holes: Hamiltonian Approach and Clapeyron Equation