Una aproximación del criterio evolutivo de prigogine a sistemas químicos
DOI:
https://doi.org/10.31349/RevMexFis.59.6.527Keywords:
Irreversible thermodynamics, entropy thermodynamics, evolutionAbstract
Prigogine's evolution criterion is illustrated non-linear state nonlinear state in chemical reaction systems. It was proved that how at least in chemical reactions; the entropy production per unit time accords to the control parameters is in fact a Lyapunov function. This is indeed an evolution criterion in the nonlinear region and also the global stability is properly assured. Finally, it was shown that for fixed values of the control parameters, the system corresponding dynamical state exhibits a higher value of the entropy production per unit time, which can be considered in fact, an extension of the non-variational principle of maximum entropy.
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I.Prigogine, “Etude Thermodynamique des Phenomenes irreversibles”, Theses d’agregation de l’Enseignement superieur del’Universite Libre de Bruxelles, Dunod, (Editeurs Paris y Editions Desoer Liege, 1947)
I.Prigogine, Introduccion a la termodinamica de los procesos irreversibles (Selecciones Cientıficas, 1974)
P. Glansdorff e I. Prigogine, Structure,Stabilite et Fluctuacions, (Masson et C.ie, Paris, 1971)
G. Nicolis, and I. Prigogine, Self-Organization in nonequilibrium systems, (Wiley, New York, 1977)
K. L. C. Hunt, P.M. Hunt, J. Ross,Phys. A. 14748 (1987)
K. L. C. Hunt, P.M. Hunt, J. Ross, Phys. A. 154 (1988) 207 DOI: https://doi.org/10.1016/0378-4371(88)90189-6
J. Ross and L. S. Garcia-Colin, J. Phys. Chem., 93 (1989) 2091 DOI: https://doi.org/10.1021/j100342a075
A. K. Dutt, J. Phys. Chem. A 106 (2002) DOI: https://doi.org/10.1021/jp002999i
J. Ross, “Thermodynamics and Fluctuations far from Equilibrium”, (Springer-Verlag Berlin Heidelberg, 2008) DOI: https://doi.org/10.1007/978-3-540-74555-6
E.N. Miranda, Eur. J. Phys. 31 (2010) 267 DOI: https://doi.org/10.1088/0143-0807/31/2/003
S.Bruers, Classification and Discussion of Macroscopic Entropy Production Principles, arxiv.org/abs/cond-mat/0604483v3(2007)
L. M. Martyushev & V. D. Seleznev, Phys. Rep. 426 (2006) 1-45 DOI: https://doi.org/10.1016/j.physrep.2005.12.001
J. M. Nieto-Villar & M.G. Velarde, J. Non-Equilib. Thermodyn 25 (2000) 269 DOI: https://doi.org/10.1515/JNETDY.2000.018
F. Schlogl, Z. Physik 253 (1972) 147 DOI: https://doi.org/10.1007/BF01379769
S. H. Strogatz, Nonlinear dynamics and chaos (Westview,2000)
J. M. Nieto-Villar, R. Quintana y J. Rieumont, Physica Scripta 68 (2003) 163 DOI: https://doi.org/10.1238/Physica.Regular.068a00163
A. Andronov, A. Vit, and C. Chaitin, “Theory of Oscillators”, (Pergamon Press, Oxford, 1966)
J. Rieumont, J.M. Nieto-Villar, J.M. Garcıa, Anales de Quımica 93 (1997) 147
E. Izquierdo-Kulich, E. Alonso-Becerra & J.M. Nieto-Villar, J. Modern Physics 2 (2011) 615 DOI: https://doi.org/10.4236/jmp.2011.226071
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