Fig. 2.

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Power-law dependence between core size (r2% 3D Lagrangian radius) and time left to core collapse, tcc − t. A power-law relation (appearing linear in log-log scale) holds in the initial phases of core collapse. We show it here for models with mass-function slope α = 0.6, 0.8, 1.0, 1.2, 1.4, and 1.6, number of stars N = 2 × 105, and ℛ = 10−3. Due to our definition of the x axis, time increases from right to left. The solid lines are data from our simulations, and the superimposed dashed lines are a robust linear fit between the initial time and tcc − 100tdyn. The angular coefficient of the regression lines appears to vary systematically with the mass function. As expected, the power-law relation breaks before core collapse, when the self-similar contraction phase ends.
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