dorsal/arxiv
View SchemaSpeed-gradient principle for nonstationary processes in thermodynamics
| Authors | Alexander L. Fradkov |
|---|---|
| Categories | |
| ArXiv ID | physics/0701312 |
| URL | https://arxiv.org/abs/physics/0701312 |
Abstract
The speed-gradient variational principle (SG-principle) is formulated and applied to thermodynamical systems. It is shown that Prigogine's principle of minimum entropy production and Onsager's symmetry relations can be interpreted in terms of the SG-principle and, therefore, are equivalent to each other. In both cases entropy of the system plays a role of the goal functional. The speed-gradient formulation of thermodynamic principles provide their extended versions, describing transient dynamics of nonstationary systems far from equilibrium. As an example a model of transient (relaxation) dynamics for maximum entropy principle is derived.
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"abstract": "The speed-gradient variational principle (SG-principle) is formulated and\napplied to thermodynamical systems. It is shown that Prigogine\u0027s principle of\nminimum entropy production and Onsager\u0027s symmetry relations can be interpreted\nin terms of the SG-principle and, therefore, are equivalent to each other. In\nboth cases entropy of the system plays a role of the goal functional. The\nspeed-gradient formulation of thermodynamic principles provide their extended\nversions, describing transient dynamics of nonstationary systems far from\nequilibrium. As an example a model of transient (relaxation) dynamics for\nmaximum entropy principle is derived.",
"arxiv_id": "physics/0701312",
"authors": [
"Alexander L. Fradkov"
],
"categories": [
"physics.gen-ph"
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"title": "Speed-gradient principle for nonstationary processes in thermodynamics",
"url": "https://arxiv.org/abs/physics/0701312"
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