Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899111 | Physica D: Nonlinear Phenomena | 2006 | 9 Pages |
Abstract
The fundamental processes of diffusion, fragmentation and merging are very common in many physical systems. We study situations where either two or all three of these processes are present in the dynamical evolution of the system. Specifically, we formulate rate equations in terms of the distribution N(x,t) of fragments of linear size x at time t which include a combination of diffusive growth, size fragmentation and fragment coagulation. Our goal is to obtain analytical solutions for N(x,t) in varying situations and in specific limits of x and t.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jesper Ferkinghoff-Borg, Mogens H. Jensen, Joachim Mathiesen, Poul Olesen,