dorsal/arxiv
View SchemaSome Remarks About Extremum Principles Involving the Rate of Entropy Production
| Authors | M. Salis |
|---|---|
| Categories | |
| ArXiv ID | physics/0609040 |
| URL | https://arxiv.org/abs/physics/0609040 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
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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"abstract": "The minimum rate of entropy production (MREP) and the least dissipation\nenergy (LDE) principles are re-examined concerning continuous systems in\nstationary nonequilibrium states. By means of simple considerations on\ncoefficients of phenomenological laws and by taking into account balance\nequations, an Onsager-like potential density for the stationary state is\nobtained. In the case of a single state variable it is found that the potential\ndensity describes a saddle-shaped surface around the stationary point in the\ndomain of the force (state variable) and the flux. The saddle point may be\nconsidered a maximum along a LDE path (fixed force) and a minimum along a MREP\npath (fixed phenomenological coefficient). The latter allow for the\nGlansdorff-Prigogine local potential.",
"arxiv_id": "physics/0609040",
"authors": [
"M. Salis"
],
"categories": [
"physics.class-ph"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Some Remarks About Extremum Principles Involving the Rate of Entropy Production",
"url": "https://arxiv.org/abs/physics/0609040"
},
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