International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 474782, 21 pages
Research Article

Discrete Dynamics by Different Concepts of Majorization

S. Sauerbrei, P. J. Plath, and M. Eiswirth

Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany

Received 6 May 2008; Accepted 19 June 2008

Academic Editor: Andrei Volodin

Copyright © 2008 S. Sauerbrei et al. 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.


For the description of complex dynamics of open systems, an approach is given by different concepts of majorization (order structure). Discrete diffusion processes with both invariant object number and sink or source can be represented by the development of Young diagrams on lattices. As an experimental example, we investigated foam decay, dominated by sinks. The relevance of order structures for the characterization of certain processes is discussed.