Disipation Functions of Flow Equations in Models of Complex Systems


Autoria(s): Usó i Domènech, Josep Lluís; Nescolarde-Selva, Josué Antonio
Contribuinte(s)

Universidad de Alicante. Departamento de Matemática Aplicada

Sistémica, Cibernética y Optimización (SCO)

Data(s)

14/01/2015

14/01/2015

2014

Resumo

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.

Identificador

American Journal of Systems and Software. 2014, 2(4): 101-107. doi:10.12691/ajss-2-4-4

2372-708X (Print)

2372-7071 (Online)

http://hdl.handle.net/10045/43977

10.12691/ajss-2-4-4

Idioma(s)

eng

Publicador

Science and Education Publishing

Relação

http://dx.doi.org/10.12691/ajss-2-4-4

Direitos

© Science and Education Publishing

info:eu-repo/semantics/openAccess

Palavras-Chave #Conjugate forces #Dissipation function #Equilibrium #Flow equations #Flow process #Flow orbital #Synonymous equations #Matemática Aplicada
Tipo

info:eu-repo/semantics/article