Phase Transition and Clapeyon Equation of Black Hole in Higher Dimensional AdS Spacetime

Understand

By Maxwell equal area law we study the phase transition in higher dimensional Anti-de Sitter (AdS) Reissner-Nordstr\"{o}m (RN) black hole and Kerr black hole in this paper.

• The coexisting region of the two phases involved in the phase transition is found and the coexisting curves are shown in $P-T$ figures.
• We also analytically investigate the parameters which affect the coexisting curves.
• To better compare with ordinary thermodynamic systems, the Clapeyon equation is derived for higher dimensional AdS black holes.