Thermal Fluctuations Effects on Reissner-Nordstr\"om-AdS Black Hole

In this paper, we study the effects of thermal fluctuations for Reissner-Nordstr\"om-AdS (RNAdS) black hole. We obtain the corrected thermodynamic quantities such as entropy, temperature, equation of state and heat capacities in the presence of thermal fluctuations. We also investigate the phase transition of RN-AdS black hole for thermal fluctuations. Finally we compute the critical exponents for small thermal fluctuations. We show that critical exponents are the same as critical exponents without thermal fluctuations.