The large-time behaviour of coarsening of a particulate assemblage due to Ostwald ripening and coagulation

Abstract

A theoretical description of the concluding stage of Ostwald ripening (coalescence) with allowance for coagulation of particles is considered. An implicit integral equation for the distribution function is derived for equal coagulation rates of the particles. This equation is analytically solved in the limit of large times. An exact explicit analytical solution for the volume density distribution function depends on the initial conditions and is in agreement with experimental data.

Keywords:

• Nucleation
• crystal growth
• coarsening

Notes

No potential conflict of interest was reported by the author.

Additional information

Funding

This work was supported by the Russian Science Foundation [grant number 16-11-10095].