  Some physical imprints of quintessence scalar fields on dark matter (DM)
clustering are illustrated, and a comparison with the concordance model
$\Lambda CDM$ is highlighted. First, we estimate the cosmological parameters
for two quintessence models, based on scalar fields rolling down the
Ratra-Peebles or Sugra potential, by a statistical analysis of the Hubble
diagram of type Ia supernovae. Then, the effect of these realistic dark energy
models on large-scale DM clustering is established through N-body simulations.
Various effects like large-scale distribution of DM, cluster mass function and
halos internal velocities are illustrated. It is found that realistic dark
energy models lead to quite different DM clustering, due to a combination of
the variation of the equation of state and differences in the cosmological
parameters, even at $z=0$. This conclusion contradicts other works in the
recent litterature and the importance of considering more realistic models in
studying the impact of quintessence on structure formation is highlighted.
