Extremum properties of entropy to determine dynamics of growth and evolution in complex systems

Stanislaw Sieniutycz

Physica A: Statistical Mechanics and its Applications, 2004, vol. 340, issue 1, 356-363

Abstract: An extremum principle is formulated for the q-entropy in evolving biological systems with variable number of states. Evolution for animals with multiple organs is considered. A variational problem is that of maximum entropy subject to the geometric constraint of the constant thermodynamic distance in the (generally non-Euclidean) space of independent probabilities pi plus possibly other constraints. Tensor form of associated dynamics is obtained. Some developmental processes are shown to progress in a relatively undisturbed way, whereas others may terminate in a rapid way due to inherent instabilities.

Keywords: Variational principles; Biological growth; Evolution; q-Entropy; Maximum entropy (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:340:y:2004:i:1:p:356-363

DOI: 10.1016/j.physa.2004.04.027

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