P−v criticality and Joule–Thomson expansion in corrected thermodynamics of conformally dressed (2+1)D AdS black hole

Abstract

We consider a black hole in three-dimensional AdS space–time conformally coupled to a massless scalar field. Due to small statistical fluctuation, we also study the [Formula: see text] criticality and phase transition in corrected thermodynamics. We calculate the critical exponents and show that the thermodynamic properties of the black hole act as a Van der Waals fluid system. Furthermore, we analyze the inversion curve of the Joule–Thomson expansion for the considered three-dimensional conformally dressed black hole.