Discriminating dark energy models by using the statefinder hierarchy and
  the growth rate of matter perturbations
  We apply the Statefinder hierarchy and the growth rate of matter
perturbations to discriminate modified Chaplygin gas (MCG), generalized
Chaplygin gas (GCG), superfluid Chaplygin gas (SCG), purely kinetic k-essence
(PKK), and $\Lambda$CDM model. We plot the evolutional trajectories of these
models in the statefinder plane and in the composite diagnostic plane. We find
that GCG, MCG, SCG, PKK, and $\Lambda$CDM can be distinguished well from each
other at the present epoch by using the composite diagnostic $\{\epsilon(z),
S^{(1)}_{5}\}$. Using other combinations, such as $\{S^{(1)}_{3}, S^{(1)}_4\}$,
$\{S^{(1)}_{3}, S_{5}\}$, $\{\epsilon(z), S^{(1)}_{3}\}$, and $\{\epsilon(z),
S_4 \}$, some of these five dark energy models cannot be distinguished.
