Criteria for gravitational instability and quasi-isolated gravitational collapse in turbulent medium

摘要: We study the evolution of structures in turbulent, self-gravitating media, and present an analytical criterion M-crit approximate to epsilon(2/3)(cascade) eta(-2/3) G(-1)l(5/3) (where is critical mass, l scale, epsilon(cascade) eta sigma(3)(v)/l turbulence energy dissipation rate ambient medium, G gravitational constant, sigma(v) velocity dispersion 0.2 efficiency parameter) for object undergo quasi-isolated collapse. The also defines scale (l(crit) epsilon(1/2)(cascade) eta(-1/2)G(-3/4)rho(-3/4)) turbulent instability develop. formalism explains size dependence masses progenitors star clusters (M-cluster similar R-cluster(1.67)) our Galaxy.