  Forthcoming measurements of the Sunyaev-Zeldovich (SZ) effect in galaxy
clusters will dramatically improve our understanding of the main intra-cluster
medium (ICM) properties and how they depend on the particular thermal and
dynamical state of the associated clusters. Using a sample of simulated galaxy
clusters we assess the impact of the ICM internal dynamics on both the thermal
and kinetic SZ effects (tSZ and kSZ, respectively). We produce synthetic maps
of the SZ effect, for the simulated clusters. For each galaxy cluster in the
sample, its dynamical state is estimated by using a combination of
well-established indicators. We use the correlations between SZ maps and
cluster dynamical state, to look for the imprints of the evolutionary events,
mainly mergers, on the SZ signals. The kinetic effect shows a remarkable
correlation with the dynamical state: unrelaxed clusters present a higher
radial profile and an overall stronger signal at all masses and radii.
Furthermore, the kSZ signal is correlated with rotation for relaxed clusters,
while for the disturbed systems the effect is dominated by other motions such
as bulk flows, turbulence, etc. The kSZ effect shows a dipolar pattern when
averaging over cluster dynamical classes, especially for the relaxed
population. This feature can be exploited to stack multiple kSZ maps in order
to recover a stronger dipole signal that would be correlated with the global
rotation properties of the sample. The SZ effect can be used as a tool to
estimate the dynamical state of galaxy clusters, especially to segregate those
clusters with a quiescent evolution from those with a rich record of recent
merger events. Our results suggest that the forthcoming observational data
measuring the SZ signal in clusters could be used as a complementary strategy
to classify the evolutionary history of galaxy clusters.
