| A general framework for the treatment of driven systems in nonequilibrium thermodynamics is discussed for two selected theories and a simple model system. The framework is based upon the of modeling and control of general physical systems proposed by van der Schaft and co-workers. The crucial concept is the notion of a Dirac structure representing the dynamical equations of motion as well as the power conserving interconnection structure of the system. We applied the framework to two existing theories and a very simple model system. The two selected theories are the General Equation for the Non-Equilibrium Reversible-Irreversible Coupling (GENERIC) formalism of Grmela and Öttinger and the Matrix model of Jongschaap; the model system is a viscous gas in a cylinder and an externally driven piston. It is shown that the new approach provides not only a common framework for both theories, but also useful extensions, in particular an extended GENERIC treatment of driven systems.
for LaTeX users @article{RJJJongschaap2004-120,
author = {R. J. J. Jongschaap and H. C. \"Ottinger},
title = {The mathematical representation of driven thermodynamic systems},
journal = {J. Non-Newtonian Fluid Mech.},
volume = {120},
pages = {3-9},
year = {2004}
}
\bibitem{RJJJongschaap2004-120} R.J.J. Jongschaap, H.C. \"Ottinger,
The mathematical representation of driven thermodynamic systems,
J. Non-Newtonian Fluid Mech. {\bf 120} (2004) 3-9.RJJJongschaap2004-120
R.J.J. Jongschaap, H.C. \"Ottinger
The mathematical representation of driven thermodynamic systems
J. Non-Newtonian Fluid Mech.,120,2004,3-9 |
mk@mat.ethz.ch
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