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Usó-Domènech, J.L., P. Sastre-Vazquez, J. Mateu. 2001. Syntax and First Entropic Approximation of L(MT): A Language for Ecological Modelling. Kybernetes. 30 (9/10). 1304-1318.

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Article

Disipation Functions of Flow Equations in Models of Complex Systems

1Department of Applied Mathematics. University of Alicante. Alicante. Spain


American Journal of Systems and Software. 2014, Vol. 2 No. 4, 101-107
DOI: 10.12691/ajss-2-4-4
Copyright © 2014 Science and Education Publishing

Cite this paper:
J.L. Usó-Doménech J., Nescolarde -Selva. Disipation Functions of Flow Equations in Models of Complex Systems. American Journal of Systems and Software. 2014; 2(4):101-107. doi: 10.12691/ajss-2-4-4.

Correspondence to: Nescolarde  -Selva, Department of Applied Mathematics. University of Alicante. Alicante. Spain. Email: josue.selva@ua.es

Abstract

In an open system, each disequilibrium causes a force. Each force causes a flow process, these being represented by a flow variable formally written as an equation called flow equation, and if each flow tends to equilibrate the system, these equations mathematically represent the tendency to that equilibrium. In this paper, the authors, based on the concepts of forces and conjugated fluxes and dissipation function developed by Onsager and Prigogine, they expose the following hypothesis: Is replaced in Prigogine’s Theorem the flow by its equation or by a "flow orbital" considering conjugate force as a gradient. This allows to obtain a dissipation function for each flow equation and a function of orbital dissipation.

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