Power-law mass distribution of aggregation systems with injection

We introduce a new family of aggregation models with constant interjection. In our models, the asymptotic distribution of particle mass, s, always follows a power law, P(≥s)∝$s^{\mathrm{-}\alpha }$, where (1/3≤α≤ 1) / 2 . It is clarified that this power law is realized by a balance of two effects, injection and aggregation.