P—V Criticality of an AdS Black Hole in f ( R ) Gravity

We study the thermodynamics of a charged AdS black hole in the special f(R) correction with the constant Ricci scalar curvature. Our results show that the f (R) correction influences the Gibbs free energy and the phase transition of system. The ratio [rho] sub(c) occurring at the critical point, increases monotonically with the derivative term f (R sub(o)). We also disclose that the critical exponents are the same as those of the liquid-gas phase transition in the van der Waals model, which does not depend on the f (R) correction considered here.