The phase transition of corrected black hole with f(R) gravity

In this letter, we consider static black hole in f(R) gravity. We take advan- tage from corrected entropy and temperature and investigate such black hole. Finally, we study the P 􀀀V critically and phase transition of corrected black hole with respect to entropy and temperature. Here also, we obtain the heat capacity for the static black hole in f(R) gravity. This calculation helps us to investigate some singularity. We have shown that the corrections exist for any black hole, but they are important for a small black holes and negligible for the large black holes. The advantage of a static black hole in f(R) gravity is its holographic picture, which is a van der Waals uid. Then, We have shown that in the presence of corrections there is still a van der Waals uid as a dual picture. The critical values of event horizon radius for phase transitions are shown due to the corrections of entropy and temperature. We have some gures which show the phase transition and P 􀀀 V critically.