Joule-thomson expansion of vanished cooling region for five-dimensional neutral Gauss-Bonnet AdS black hole

Abstract

This paper investigates the Joule-Thomson expansion for a five-dimensional neutral Gauss-Bonnet Anti-de Sitter black hole. Firstly, by taking Van der Waals gas as an example, we induce the definition of the Joule-Thomson coefficient and the inversion phenomena. One can give the T–P graph and the inversion curves. Then, we obtain the thermodynamic properties of the Gauss-Bonnet black hole and use the same way to get the T–P figure, which shows differences from Van der Waals gas and other black holes. To our surprise, we can’t observe its inversion phenomena. Due to this reason, we further studied the vanished inversion region and found that the electric charge plays an important role in this phenomenon. We analogy black hole charged and neutral, which get some interesting consequences. Finally, we make Legendre transition to Smarr relation and investigate whether the electric potential has the same result as the electric charge’s landscape. These results will uncover the inner interaction between the enthalpy and the electric charge during the Joule-Thomson process.