Cooling-heating phase transition and critical behavior of the charged accelerating AdS black hole

Abstract: We study the cooling-heating phase transition of the charged accelerating anti-de Sitter black hole in extended phase space, and investigate the critical behavior of this black hole in extended phase space. By calculating the thermodynamic quantities and state equation, we found that the charged accelerating AdS black hole as thermodynamic system is similar to the van der Waals system. The inversion temperature of this black hole is obtained, and cooling-heating and isenthalpic curves are plotted in T-P plane. Our results indicate that the inversion temperature for a given pressure increases with e, and the acceleration parameter has the opposite effect, which the cooling-heating curves decreases gradually with the the increases of a. We also analyse the influence of acceleration parameter on isenthalpic curves, implying that the phase transition point decreases with the increase of acceleration factor under constant pressure.