International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 49, Pages 2641-2648

Continuum model of the two-component Becker-Döring equations

Ali Reza Soheili1,2

1Department of Mathematics, Sistan & Baluchestan University, Zahedan 98135, Iran
2Department of Mathematics, Simon Fraser University, BC, Burnaby V5A 1S6, Canada

Received 3 April 2003

Copyright © 2004 Ali Reza Soheili. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The process of collision between particles is a subject of interest in many fields of physics, astronomy, polymer physics, atmospheric physics, and colloid chemistry. If two types of particles are allowed to participate in the cluster coalescence, then the time evolution of the cluster distribution has been described by an infinite system of ordinary differential equations. In this paper, we describe the model with a second-order two-dimensional partial differential equation, as a continuum model.