All the models at t_core + 2 kyr. The dust-to-gas ratio enrichment averaged in mass is shown as a function of grain size for all the objects. Grains with sizes smaller than 10⁻⁴ cm are almost always perfectly coupled with the gas. For larger grain sizes, the enrichment is model dependent. Grains with typical sizes larger than 10⁻³ cm decouple from the gas. Dense objects such as the fragments or the disk and pseudo-disk are enriched in dust. Low-density objects such as the envelope or the outflows are depletedin dust. Magnetized models exhibit the strongest decoupling between the gas and the dust.