Non-linear evolution of a system of elongated droplike aggregates in a metastable magnetic fluid

We study the evolution of a system of drop-like aggregates suspended in a macroscopically homogeneous magnetic fluid made metastable by strengthening of an external magnetic field with account of both the reduction in metastability and the continuing initiation of new nuclei in the metastable surroundings. The growing aggregates are highly elongated ellipsoidal shaped and are distributed over volume. The distribution density is governed by a kinetic equation which neglects of fluctuations in the growth rate of a single aggregate. The approximate solutions for supersaturation and diverse characteristics of the distribution density has been found as functions of time. An influence of emerging aggregates on the macroscopic ferrocolloid properties is illustrated by the example of the time dependence of magnetization and effective viscosity