  We study the thermodynamics of soft wall model in AdS/QCD framework. The low
temperature phase of QCD is described by thermal AdS and high temperature phase
by AdS Black hole solution of five dimensional gravity with negative
cosmological constant. The chemical potential is introduced via the solution of
U(1) vector field in the bulk. The difference of action densities in two phases
is studied and the results are compared with hard wall model. The quark number
susceptibility is also calculated in both the models.
