The “excess entropy” around nonequilibrium steady states, (δ2S)ss, is not a Liapunov function

The “excess entropy” around nonequilibrium steady states, (δ2S)ss, is not a Liapunov function

In a response to my recent paper [Fox, R. F. (1979) Proc. Natl. Acad. Sci. USA 76, 2114-2117], Nicolis and Prigogine [Nicolis, G. & Prigogine, I. (1979) Proc. Natl. Acad. Sci. USA 76, 6060-6061] reasserted that the “excess entropy” around nonequilibrium steady states, (δ 2 S ) ss , is a Liapunov...

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Veröffentlicht in:Proceedings of the National Academy of Sciences - PNAS 1980-07, Vol.77 (7), p.3763-3766
1. Verfasser: Fox, Ronald Forrest
Format: Artikel
Sprache:eng
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Physical Sciences: Physics
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Zusammenfassung:In a response to my recent paper [Fox, R. F. (1979) Proc. Natl. Acad. Sci. USA 76, 2114-2117], Nicolis and Prigogine [Nicolis, G. & Prigogine, I. (1979) Proc. Natl. Acad. Sci. USA 76, 6060-6061] reasserted that the “excess entropy” around nonequilibrium steady states, (δ 2 S ) ss , is a Liapunov function. A simple, explicit counterexample which invalidates this claim is presented. The existence of an alternative theory possessing a proper Liapunov function for steady states is reviewed.
ISSN:0027-8424
1091-6490
DOI:10.1073/pnas.77.7.3763