On the problem of the minimum entropy production in the nonequilibrium stationary state / Martyushev L.M., Nazarova A.S., Seleznev V.D. // Journal of Physics A: Mathematical and Theoretical. - 2007. - V. 40, l. 3. - P. 371-380.

ISSN:
17518113
Type:
Article
Abstract:
This study presents a critical review of the Prigogine minimum entropy production principle. The minimum entropy production implies the stationary state of the nonequilibrium system and vica versa: the stationary state of the system implies the minimum entropy production. It was shown that the extension of the principle to the so-called integral case is devoid of this property and, therefore, is less interesting in practical and theoretical terms. © 2007 IOP Publishing Ltd.
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DOI:
10.1088/1751-8113/40/3/002
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Affiliations Institute of Industrial Ecology, Ural Branch RAS, 620219 Ekaterinburg, Russian Federation
References Prigogine, I., (1947) Etude Thermodynamique des Phénomènes Irréversibles, , (Liége); Prigogine, I., (1955) Introduction to Thermodynamics of Irreversible Processes, , (Springfield: Charles C Thomas); Ozawa, H., Ohmura, A., Lorenz, R., Pujol, T., The second law thermodynamics and the global climate system: a review of the maximum entropy production principle Rev (2003) Geophys, 41, pp. 1018-1042; Kirkaldy, J.S., (1992) Spontaneous evolution of spatiotemporal patterns in materials Rep. Prog. Phys., 55, pp. 723-795; Bejan, A., Entropy generation minimization: The new thermodynamics of finite-size device and finite-time processes (1996) J. Appl. Phys., 79, pp. 1191-218; Salamon, P., What conditions make minimum entropy production equivalent to maximum power production? (2001) J. Non-Equilib. Thermodyn, 26, pp. 73-83; Gerasev, A.P., (2004) Nonequilibrium thermodynamics of autowave processes in a catalyst bed Phys.-Usp, 47, pp. 991-1016; Zotin, A.A., Zotin, A.I., (1996) Thermodynamic bases of developmental processes J. Non-Equilib. Thermodyn., 21; Ulanowicz, R.E., (1986) Growth and development: Ecosystems Phenomenology, , (New York: Springer); Müller, F., State-of-the-art in ecosystem theory (1997) Ecol. Model, 100; Jaynes, E., The minimum entropy production principle (1980) Ann. Rev. Phys. Chem., 31, pp. 579-601; Rebhan, E., Maximum entropy production far from equilibrium: the example of strong shock waves (1990) Phys. Rev. A, pp. 42781-42788; Petrov, Y., (1989) Information and Entropy in Cybernetics, , (Leningrad: Leningrad State University); Semenov, A., (2002) Numerical simulation of the dynamics of entropy production in a one-dimensional unsteady, thermally inhomogeneous system High Temp, 40, pp. 320-2; Pleshanov, A., (2002) Extremum principles in the theory of thermal conductivity of a solid High Temp, 40; Ẑupanović, P., Juretić, D., Botrić, S., Kirchhoffs loop law and the maximum entropy production principle (2004) Phys. Rev. E, 70, p. 056108. , 1-5; Landauer, R., Inadequacy of entropy and entropy derivatives in characterizing the steady state (1975) Phys. Rev. A, 12, pp. 636-368; Glansdorff, P., Prigogine, I., (1971) Thermodynamics of Structure, Stability and fluctuations, , (New York: Wiley); Kondepudi, D.K., Prigogine, I., (1999) Modern Thermodynamics: From Heat Engines to Dissipative Structures, , (New York: Wiley); Mamedov, M., On the incorrectness of the traditional proof of the Prigogine principle of minimum entropy production (2003) Tech. Phys. Lett., 29, pp. 340-341; Røsjorde, A., Fossmo, D.W., Bedeaux, D., Kjelstrup, S., Hafskjold, B., Nonequilibrium molecular dynamics simulations of steady-state heat and mass transport in condencation: I. Local equilibrium (2000) J. Colloid Interface Sci., 232, pp. 178-185; Røsjorde, A., Kjelstrup, S., Bedeaux, D., Hafskjold, B., Nonequilibrium molecular dynamics simulations of steady-state heat and mass transport in condencation: II. Transfer coefficients (2001) J. Colloid Interface Sci., 240, pp. 355-364; Reguera, D., Rubi, J.M., Vilar, J.M.G., The mesoscopic dynamics of thermodynamic systems (2005) J. Phys. Chem. B, 109, pp. 21502-21515; Gyarmati, I., (1970) Non-Equilibrium Thermodynamics: Field Theory and Variational Principle, , (New York: Springer); Ziegler, H., (1963) Progress in Solid Mechanics, 4. , I N ed Sneddon and R Hill (Amsterdam: North-Holland); Martyushev, L., Seleznev, V., Maximum entropy production principle in physics, chemistry and biology (2006) Phys. Rep., 426, pp. 1-45; Klein, M., (1960) Rend. Sci. Int. Fis. Enrico Fermi, 10, p. 198; De Groot, S., Mazur, P., (1962) Non-Equilibrium Thermodynamics, , (Amsterdam: North-Holland)
Correspondence Address Martyushev, L. M.; Institute of Industrial Ecology, Ural Branch RAS, 620219 Ekaterinburg, Russian Federation; email: mlm@ecko.uran.ru
Language of Original Document English
Abbreviated Source Title J. Phys. Math. Theor.
Source Scopus