Thermal stability, $$P{-}V$$ criticality and heat engine of charged rotating accelerating black holes

In this paper, we study thermodynamic features of the charged rotating accelerating black holes in anti-de Sitter spacetime. First, consider these as systems and analyze thermal stability/instability through use heat capacity canonical ensemble. We also investigate effects angular momentum, electric charge string tension on quantities stability system. Considering known relation between pressure cosmological constant, extract critical discuss how mentioned parameters affect them. Then, construct a engine by taking into account hole working substance, obtain efficiency considering rectangle cycle $P-V$ plane. examine their effective roles. Finally, comparing with Carnot efficiency, conditions order to have consistent second law.