  This is a second paper of a series of two. In this paper, we directly correct
the problem pointed out in the first paper of this series, dark energy does not
cluster on the scale of galaxy clusters, but the current describing the flowing
of dark energies outside the clusters is ignored in almost all the previous
papers. We set up and solve a first order differential equation which describes
the evolution of the clusters in a back ground universe containing dark
energies.
  From the solution we extract the key parameters of the model and find them
depending on the equation of state coefficients of dark energies rather
non-trivially. We then apply the results in Press-Scheter theory and calculate
the number density of galaxy clusters and its evolutions, we find the
observable quantities are strongly affected by the equation of state
coefficients of dark energies.
