Star formation from gravoturbulent fragmentation

Turbulence on global scales provides cloud support, while at the same time, it can promote local collapse. Stellar birth is thus intimately linked to the dynamical behaviour of the parental gas cloud. A slow, inneficient, isolated star formation is a hallmark of turbulent support, whereas fast, efficient and clustered star formation occurs in its absence. The dynamical evolution of a nascent cluster strongly influences the stellar mass spectrum and the equation of state plays a pivotal role on the fragmentation process. Under typical cloud conditions, massive stars form as part of dense clusters. However, for gas with an effective polytropic index > 1, star formation becomes bias towards isolated massive stars, which may be of relevance for Pop III stars.