Time evolution of the second core radius (top), mass (middle), and accretion rate (bottom) for the different core collapse scenarios with initial cloud core mass of 1 M_⊙ (red), 5 M_⊙ (yellow), 10 M_⊙ (blue), and 20 M_⊙ (green). The time t = 0 marks the onset of the second core formation. The overplotted dashed lines indicate the evolution from the high-resolution 1D simulations discussed in Sect. 3.2.