Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes

Understand

The phase transition of Reissner-Nordstr\"om black holes in $(n+1)$-dimensional anti-de Sitter spacetime is studied in details using the thermodynamic analogy between a RN-AdS black hole and a van der Waals liquid gas system.

• We first investigate critical phenomena of the RN-AdS black hole.
• The critical exponents of relevant thermodynamical quantities are evaluated.
• We find identical exponents for a RN-AdS black hole and a Van der Waals liquid gas system.