Charged accelerating AdS black hole of $f(R)$ gravity and the\n Joule-Thomson expansion

Abstract

In this paper, the thermodynamical properties and the phase transitions of\nthe charged accelerating anti-de Sitter (AdS) black holes are investigated in\nthe framework of the $f(R)$ gravity. By studying the conditions for the phase\ntransitions, it has been shown that the $P-V$ criticality and the van der Waals\nlike phase transitions can be achieved for $ T \\approx T_{c} $. The\nJoule-Thomson expansion effects are also examined for the charged accelerating\nAdS black holes of the $f(R)$ gravity. Here, we derive the inversion\ntemperatures as well as the inversion curves. Then, we determine the position\nof the reverse point for different values of mass $M$ and parameter $b$ for the\ncorresponding black hole. At this point, the Joule-Thompson coefficient is\nzero. So, in such case, we can say that such point is very important for the\nfinding of cooling - heating regions. Finally, we calculate the ratio of\nminimum inversion temperature and critical temperature for such black hole.\n