Disipation Functions of Flow Equations in Models of Complex Systems

J.L. Usó-Doménech J.¹ and Nescolarde -Selva^1,

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

Cite this paper:
J.L. Usó-Doménech J. and 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

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.

Keywords:
conjugate forces dissipation function equilibrium flow equations flow process flow orbital synonymous equations

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