Abstract:
It will be shown that a mathematical reformulation of the Glansdorff-Prigogine local equilibrium hypothesis makes it possible to associate the Glansdorff-Prigogine stability criterion to the sign of a quadratic form. A comparison with other known results of literature is presented. Moreover, the equivalence between the local potential method of Glansdorff-Prigogine and the Keizer-Lavenda's generalization of the Onsage-Machlup Lagrangian formulation will be proven. © 1991 American Institute of Physics.
Registro:
Documento: |
Artículo
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Título: | Generalization of the Glansdorff-Prigogine stability criterion |
Autor: | Schifino, A.C.S.; Costa, A.; Fontán, C.F. |
Filiación: | Facultad de Ciencias Exactes y Naturales, Universidad de Buenos Aires, Argentina Instituto de Astronomia y Fisica del Espacio (CONICET), Buenos Aires, Argentina Facultad de Humanidades y Ciencias, Facultad de Ingeniería, Universidad de la República, Montevideo, Uruguay Carrera del Investigador Científico, CONICET, Argentina
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Año: | 1991
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Volumen: | 32
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Número: | 5
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Página de inicio: | 1350
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Página de fin: | 1353
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Título revista: | Journal of Mathematical Physics
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ISSN: | 00222488
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v32_n5_p1350_Schifino |
Referencias:
- Glansdorff, P., Prigogine, I., (1971) Thermodynamic Theory of Structure of Stability and Fluctuations, , (Wiley-Interscience, New York)
- Glansdorff, P., Nicolis, G., Prigogine, I., (1974) Proc. Nat. Acad. Sci., 71, p. 197
- Nicolis, G., Prigogine, I., (1979) Proc. Nat. Acad. Sci., 76, p. 6060
- Fox, R.F., (1979) Proc. Nat. Acad. Sci., 76, p. 2114
- Keizer, J., (1976) J. Chem., 65, p. 4431
- Lavenda, B.H., (1985) Nonequilibrium Statistical Thermodynamics, , (Wiley-Interscience, New York)
- Fox, R.F., (1980) Proc. Nat. Acad. Sci., 77, p. 3763
- Nicolis, G., Prigogine, I., (1977) Self-Organization in Nonequilibrium Systems, , (Wiley-Interscience, New York)
- Keizer, J., (1977) Biosystem, 8, p. 219
- Landau, L.D., Lifshitz, E.M., (1959) Statistical Physics, , (Pergamon, London)
Citas:
---------- APA ----------
Schifino, A.C.S., Costa, A. & Fontán, C.F.
(1991)
. Generalization of the Glansdorff-Prigogine stability criterion. Journal of Mathematical Physics, 32(5), 1350-1353.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v32_n5_p1350_Schifino [ ]
---------- CHICAGO ----------
Schifino, A.C.S., Costa, A., Fontán, C.F.
"Generalization of the Glansdorff-Prigogine stability criterion"
. Journal of Mathematical Physics 32, no. 5
(1991) : 1350-1353.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v32_n5_p1350_Schifino [ ]
---------- MLA ----------
Schifino, A.C.S., Costa, A., Fontán, C.F.
"Generalization of the Glansdorff-Prigogine stability criterion"
. Journal of Mathematical Physics, vol. 32, no. 5, 1991, pp. 1350-1353.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v32_n5_p1350_Schifino [ ]
---------- VANCOUVER ----------
Schifino, A.C.S., Costa, A., Fontán, C.F. Generalization of the Glansdorff-Prigogine stability criterion. 1991;32(5):1350-1353.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v32_n5_p1350_Schifino [ ]