Joule-Thomson expansion of five-dimensional Einstein-Maxwell-Gauss-Bonnet-AdS black holes
Abstract
We investigate the Joule-Thomson expansion for five-dimensional Einstein-Maxwell-Gauss-Bonnet-AdS black holes. Here, we derive the expressions for the Joule-Thomson coefficient μ in two different approaches and show that both of these approaches are consistent with each other. Further, we analyze both inversion and isenthalpic curves in the plane. Then we determine the cooling-heating regions. Finally, we compute the ratio between minimum inversion temperature and critical temperature T c for the said black holes and show that this ratio has two values unlike the charged AdS black holes and van der Waals' fluids as we achieve two critical temperatures from two equations. We also show graphically as well as by computing the critical points that the Gauss-Bonnet coupling constant α can have only positive values if the black hole is small. This paper is dedicated to Prof. Subenoy Chakraborty, Department of Mathematics, Jadavpur University, India, to tribute him on his 60th birth year.