  Recently Herzog has shown that deconfinement of AdS/QCD can be realized, in
the hard-wall model where the small radius region is removed in the
asymptotically AdS space, via a first order Hawking-Page phase transition
between a low temperature phase given by a pure AdS geometry and a high
temperature phase given by the AdS black hole in Poincare coordinates. In this
paper we first extend Herzog's work to the hard wall AdS/QCD model in curved
spaces by studying the thermodynamics of AdS black holes with spherical or
negative constant curvature horizon, dual to a non-supersymmetric Yang-Mills
theory on a sphere or hyperboloid respectively. For the spherical horizon case,
we find that the temperature of the phase transition increases by introducing
an infrared cutoff, compared to the case without the cutoff; For the hyperbolic
horizon case, there is a gap for the infrared cutoff, below which the
Hawking-Page phase transition does not occur. We also discuss charged AdS black
holes in the grand canonical ensemble, corresponding to a Yang-Mills theory at
finite chemical potential, and find that there is always a gap for the infrared
cutoff due to the existence of a minimal horizon for the charged AdS black
holes with any horizon topology.
