To study the interaction of star-formation and turbulent molecular cloud
structuring, we analyse numerical models and observations of self-gravitating
clouds using the Delta-variance as statistical measure for structural
characteristics. In the models we resolve the transition from purely
hydrodynamic turbulence to gravitational collapse associated with the formation
and mass growth of protostellar cores. We compare models of driven and freely
decaying turbulence with and without magnetic fields. Self-gravitating
supersonic turbulence always produces a density structure that contains most
power on the smallest scales provided by collapsed cores as soon as local
collapse sets in. This is in contrast to non-self-gravitating hydrodynamic
turbulence where the Delta-variance is dominated by large scale structures. To
detect this effect in star-forming regions observations have to resolve the
high density contrast of protostellar cores with respect to their ambient
molecular cloud. Using the 3mm continuum map of a star-forming cluster in
Serpens we show that the dust emission traces the full density evolution. On
the contrary, the density range accessible by molecular line observations is
insufficient for this analysis. Only dust emission and dust extinction
observations are able to to determine the structural parameters of star-forming
clouds following the density evolution during the gravitational collapse.Comment: 12 pages, 9 figures, A&A in pres