Study of first-order corrections and phase transition of RN de-sitter Black Hole

In this paper, we study the phase transition and thermodynamics of Reissner-Nordstrom black hole. We compute the thermodynamics quantities such as Hawking temperature, Bekenstein entropy and heat capacity by using mathematical and graphical analysis. We obtain the corrected entropy to examine the effect of logarithmic corrections on the different thermodynamic quantities like pressure, Gibbs free energy, Helmholtz free energy, internal energy, enthalpy. Moreover, we investigate the stability of the system with the help of heat capacity and well known Hessian matrix technique. It is noted that the considered system is thermodynamically stable under these correction terms.