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Thermodynamic variables of first-order entropy corrected Lovelock-AdS black holes: \(P{-}V\) criticality analysis

  • Amritendu Haldar
  • Ritabrata Biswas
Research Article
  • 45 Downloads

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 must 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.

Keywords

Thermal fluctuations Logarithmic correction Thermodynamic potentials \(P{-}V\) criticality 

Notes

Acknowledgements

This research is supported by the Project Grant of Goverment of West Bengal, Department of Higher Education, Science and Technology and Biotechnology (File no:- \( ST/P/S \& T/16G\)-19 / 2017). Amritendu Haldar wishes to thank the Department of Mathematics, the University of Burdwan for the research facilities provided during the work. Ritabrata Biswas thanks IUCAA, Pune, India for providing Visiting Associateship.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of PhysicsSripat Singh CollegeJiaganj, MurshidabadIndia
  2. 2.Department of MathematicsThe University of BurdwanBurdwanIndia

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