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In this paper, the thermodynamical properties and the phase transitions of the charged accelerating anti-de Sitter (AdS) black holes are investigated in the framework of the f (R) gravity. By studying the conditions for the phase transitions, it has been shown that the P-V criticality and the van der Waals like phase transitions can be achieved for T T₂. The Joule-Thomson expansion effects are also examined for the charged accelerating AdS black holes of the f (R) gravity. Here, we derive the inversion temperatures as well as the inversion curves. Then, we determine the position of the reverse point for different values of mass M and parameter b for the corresponding black hole. At this point, the Joule-Thompson coefficient is zero. So, in such case, we can say that such point is very important for the finding of cooling - heating regions. Finally, we calculate the ratio of minimum inversion temperature and critical temperature for such black hole.
Rostami et al. (Wed,) studied this question.