Some Remarks About Extremum Principles Involving the Rate of Entropy Production

Details Some Remarks About Extremum Principles Involving the Rate of Entropy Production Some Remarks About Extremum Principles Involving the Rate of Entropy Production

2006-09-06

arxiv.org/abs/physics/0609040v3

Physics

Classical Physics

Scientific paper

The minimum rate of entropy production (MREP) and the least dissipation energy (LDE) principles are re-examined concerning continuous systems in stationary nonequilibrium states. By means of simple considerations on coefficients of phenomenological laws and by taking into account balance equations, an Onsager-like potential density for the stationary state is obtained. In the case of a single state variable it is found that the potential density describes a saddle-shaped surface around the stationary point in the domain of the force (state variable) and the flux. The saddle point may be considered a maximum along a LDE path (fixed force) and a minimum along a MREP path (fixed phenomenological coefficient). The latter allow for the Glansdorff-Prigogine local potential.

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