Nonadiabatic Turbulence Driving during Gravitational Collapse

Abstract

We investigate the generation of turbulence during the prestellar gravitational contraction of a turbulent spherical core. We define the ratio g of the one-dimensional turbulent velocity dispersion to the gravitational velocity to then analytically estimate g under the assumptions of (a) equipartition or virial equilibrium between the gravitational ( ) and turbulent kinetic ( ) energies and (b) stationarity of transfer from gravitational to turbulent energy (implying cst). In the equipartition and virial cases, we find and , respectively; in the stationary case we find , where η is an efficiency factor, is the energy injection scale of the turbulence, and R is the core’s radius. Next, we perform AMR simulations of the prestellar collapse of an isothermal, transonic turbulent core at two different resolutions, and a nonturbulent control simulation. We find that the turbulent simulations collapse at the same rate as the nonturbulent one, so that the turbulence generation does not significantly slow down the collapse. We also find that (a) the simulations approach near balance between the rates of energy injection from the collapse and of turbulence dissipation; (b) , close to the “virial” value (turbulence is 30% ∼ 40% of nonthermal linewidth); (c) the injection scale is , and (d) the “turbulent pressure” scales as , an apparently nearly adiabatic scaling. We propose that this scaling and the nearly virial values of the turbulent velocity dispersion may be reconciled with the nondelayed collapse rate if the turbulence is dissipated as soon as it is generated.