From dendrites and S-shaped growth curves to the maximum entropy production principle
L. M. Martyushev, E. G. Axelrod
Institute of Industrial Ecology RAS, 620219 Ekaterinburg, Russia
PACS: 05.70.Ln, 81.10.Aj
Abstract
S-shaped kinetic curves are very frequent in Nature. Based on our
own experimental evidence on the growth of single dendrites and the
literature data analysis, we have demonstrated that such curves may result
from the maximum entropy production principle. The proposed approach also
explains other prevalent laws of relaxation in nonequilibrium systems
(Exponential, Kohlrausch, etc.).