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

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  • Sieniutycz, Stanislaw

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.

Suggested Citation

  • Sieniutycz, Stanislaw, 2004. "Extremum properties of entropy to determine dynamics of growth and evolution in complex systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 356-363.
    • Handle: RePEc:eee:phsmap:v:340:y:2004:i:1:p:356-363
    DOI: 10.1016/j.physa.2004.04.027
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