Thermodynamics of charged accelerating AdS black hole

In this paper, we provide a thermodynamical study of charged accelerating AdS black holes in the [Formula: see text]-metric. In this connection, we first determine the mass of the given black hole and study their dependence on horizon radius and acceleration. Furthermore, following black hole mechanics, we also derive various quantities like Hawking temperature, entropy, pressure, volume, internal energy, Gibbs energy and Helmholtz energy. With the help of a graph, we study the effect of acceleration on these thermal quantities. Here, we observe that the impact of acceleration becomes more significant on the large horizons. To discuss stability and phase transition, we calculate specific heat. The graphical analysis suggests multiple phase transitions occur for the charged accelerating black hole in AdS spacetime. The system changes state at the critical point, where phase transition occurs. For the small black holes, the critical point at which the phase transition occurs is independent of the acceleration parameter. However, the critical horizon radius for large black holes depends on the acceleration parameter. For fast-accelerating black holes, a phase transition occurs at a small horizon radius to that of slowly accelerating black holes.