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Volumn 40, Issue 11, 1997, Pages 2739-2753

Perturbational dynamics of thermal processes and chemical reactions in distributed systems

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL REACTIONS; DIFFUSION; ELECTRIC CHARGE; ENERGY DISSIPATION; HEAT TRANSFER; KINETIC THEORY; MASS TRANSFER; PERTURBATION TECHNIQUES; PHASE EQUILIBRIA; THERMODYNAMICS; VARIATIONAL TECHNIQUES; VECTORS;

EID: 0031176044     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(96)00234-7     Document Type: Article
Times cited : (1)

References (80)
  • 1
    • 36149006492 scopus 로고
    • Reciprocal relations in irreversible processes, I and II
    • Onsager, L., Reciprocal relations in irreversible processes, I and II. Physics Review, 1931, 37, 38, 405-426, 2265-2279.
    • (1931) Physics Review , vol.37-38 , pp. 405-426
    • Onsager, L.1
  • 2
    • 36149021145 scopus 로고
    • Fluctuations and irreversible processes. I
    • Onsager, L. and Machlup, S., Fluctuations and irreversible processes. I. Physics Review, 1953, 91, 1505-1512.
    • (1953) Physics Review , vol.91 , pp. 1505-1512
    • Onsager, L.1    Machlup, S.2
  • 3
    • 36149007093 scopus 로고
    • Fluctuations and irreversible processes. II. Systems with kinetic energy
    • Machlup, S. and Onsager, L., Fluctuations and irreversible processes. II. Systems with kinetic energy. Physics Review, 1953, 91, 1512-1515.
    • (1953) Physics Review , vol.91 , pp. 1512-1515
    • Machlup, S.1    Onsager, L.2
  • 4
    • 0017479599 scopus 로고
    • Variational principles in nonequilibrium thermodynamics
    • Keizer, J., Variational principles in nonequilibrium thermodynamics. Biosystems, 1974, 8, 219-2267.
    • (1974) Biosystems , vol.8 , pp. 219-2267
    • Keizer, J.1
  • 6
    • 84971459084 scopus 로고
    • On the "Governing principle of dissipative processes" and its extension to non-linear problems
    • Leipzig
    • Gyarmati, I., On the "Governing principle of dissipative processes" and its extension to non-linear problems. Annals of Physics (Leipzig), 1969, 23, 353-375.
    • (1969) Annals of Physics , vol.23 , pp. 353-375
    • Gyarmati, I.1
  • 8
    • 84981962808 scopus 로고
    • An extension of the "Governing principle of dissipative processes" to nonlinear constitutive equations
    • Leipzig
    • Verhas, J., An extension of the "Governing principle of dissipative processes" to nonlinear constitutive equations. Annals of Physics (Leipzig), 1983, 40, 189-195.
    • (1983) Annals of Physics , vol.40 , pp. 189-195
    • Verhas, J.1
  • 9
    • 0043093457 scopus 로고
    • On the variational principles for irreversible processes
    • Rosen, P., On the variational principles for irreversible processes. Journal of Chemical Physics, 1953, 21, 1220-1222.
    • (1953) Journal of Chemical Physics , vol.21 , pp. 1220-1222
    • Rosen, P.1
  • 11
    • 0000515541 scopus 로고
    • Minimum entropy production in the steady state and the radiative transfer
    • Essex, Ch., Minimum entropy production in the steady state and the radiative transfer. Astrophysics Journal, 1984, 285, 279-293.
    • (1984) Astrophysics Journal , vol.285 , pp. 279-293
    • Essex, Ch.1
  • 12
    • 42849083365 scopus 로고
    • Local variational principle of minimum dissipation in dynamics of diffusion-reaction
    • Mornev, O. A. and Aliev, R. R., Local variational principle of minimum dissipation in dynamics of diffusion-reaction. Russian Journal of Physical Chemistry, 1995, 69, 1325-1328.
    • (1995) Russian Journal of Physical Chemistry , vol.69 , pp. 1325-1328
    • Mornev, O.A.1    Aliev, R.R.2
  • 14
    • 0002530970 scopus 로고
    • Bracket formulation for Navier-Stokes equations
    • Grmela, M., Bracket formulation for Navier-Stokes equations. Physics Letters, 1985, 111A, 36-40.
    • (1985) Physics Letters , vol.111 A , pp. 36-40
    • Grmela, M.1
  • 15
    • 0001203138 scopus 로고
    • Thermodynamics of driven systems
    • Grmela, M., Thermodynamics of driven systems. Physics Review E, 1993, 48, 919-930.
    • (1993) Physics Review E , vol.48 , pp. 919-930
    • Grmela, M.1
  • 16
    • 0001328648 scopus 로고
    • Weakly nonlocal hydrodynamics
    • Grmela, M., Weakly nonlocal hydrodynamics. Physics Review, E, 1993, 47, 351-365.
    • (1993) Physics Review, E , vol.47 , pp. 351-365
    • Grmela, M.1
  • 17
    • 0043285293 scopus 로고
    • Comments on the relation between Hamiltonian and Lagrangian formulations of mesoscopic dynamics
    • Grmela, M., Comments on the relation between Hamiltonian and Lagrangian formulations of mesoscopic dynamics. Scientific Reports of Kieke Polytechnik, Mechanika, 1995, 59, 49-64.
    • (1995) Scientific Reports of Kieke Polytechnik, Mechanika , vol.59 , pp. 49-64
    • Grmela, M.1
  • 18
    • 0009479895 scopus 로고
    • Hamiltonian extended thermodynamics
    • Grmela, M. and Lebon, G., Hamiltonian extended thermodynamics. Journal of Physics A, 1990, 23, 3341-3351.
    • (1990) Journal of Physics A , vol.23 , pp. 3341-3351
    • Grmela, M.1    Lebon, G.2
  • 21
    • 0009480458 scopus 로고
    • On the construction of potentials and variational principles in thermodynamics and physics
    • Nyiri, B., On the construction of potentials and variational principles in thermodynamics and physics. Journal of Non-Equilibrium Thermodynamics, 1991, 16, 39-55.
    • (1991) Journal of Non-equilibrium Thermodynamics , vol.16 , pp. 39-55
    • Nyiri, B.1
  • 22
    • 0041590639 scopus 로고
    • A variational principle for the balance and constitutive equations in convective systems
    • Gambàr, K., Màrkus, F. and Nyiri, B., A variational principle for the balance and constitutive equations in convective systems. Journal of Non-Equilibrium Thermodynamics, 1991, 16, 217-223.
    • (1991) Journal of Non-equilibrium Thermodynamics , vol.16 , pp. 217-223
    • Gambàr, K.1    Màrkus, F.2    Nyiri, B.3
  • 23
    • 0003375084 scopus 로고
    • On the global symmetry of thermodynamics and Onsager's reciprocity relations
    • Gambàr, K. and Màrkus, F., On the global symmetry of thermodynamics and Onsager's reciprocity relations. Journal of Non-Equilibrium Thermodynamics, 1993, 18, 51-57.
    • (1993) Journal of Non-equilibrium Thermodynamics , vol.18 , pp. 51-57
    • Gambàr, K.1    Màrkus, F.2
  • 24
    • 5844349529 scopus 로고
    • Hamilton-Lagrange formalism of nonequilibrium thermodynamics
    • Gambàr, K. and Màrkus, F., Hamilton-Lagrange formalism of nonequilibrium thermodynamics. Physics Review, E, 1994, 50, 1227-1231.
    • (1994) Physics Review, E , vol.50 , pp. 1227-1231
    • Gambàr, K.1    Màrkus, F.2
  • 25
    • 0001126983 scopus 로고    scopus 로고
    • Variational principle for entropy in electrochemical transport phenomena
    • Sieniutycz, S. and Ratkje, S. K., Variational principle for entropy in electrochemical transport phenomena. International Journal of Engineering Science, 1996, 34, 549-560.
    • (1996) International Journal of Engineering Science , vol.34 , pp. 549-560
    • Sieniutycz, S.1    Ratkje, S.K.2
  • 26
    • 0030250957 scopus 로고    scopus 로고
    • Perturbational thermodynamics of coupled electrochemical heat and mass transfer
    • Sieniutycz, S. and Ratkje, S. K., Perturbational thermodynamics of coupled electrochemical heat and mass transfer. International Journal of Heat & Mass Transfer, 1996, 39, 3293-3303.
    • (1996) International Journal of Heat & Mass Transfer , vol.39 , pp. 3293-3303
    • Sieniutycz, S.1    Ratkje, S.K.2
  • 27
    • 0001321347 scopus 로고
    • Least-entropy generation: Variational principle of Onsager's type for transient hyperbolic heat and mass transfer
    • Sieniutycz, S. and Berry, R. S., Least-entropy generation: variational principle of Onsager's type for transient hyperbolic heat and mass transfer. Physics Review, A, 1992, 46, 6359-6370.
    • (1992) Physics Review, A , vol.46 , pp. 6359-6370
    • Sieniutycz, S.1    Berry, R.S.2
  • 28
    • 34250446889 scopus 로고
    • Method of Lagrange multipliers for exploitation of the entropy principle
    • I-Shih, Liu, Method of Lagrange multipliers for exploitation of the entropy principle. Archives of Rational Mechanical Analysis, 1972, 46, 131-148.
    • (1972) Archives of Rational Mechanical Analysis , vol.46 , pp. 131-148
    • I-Shih, L.1
  • 29
    • 0042282991 scopus 로고
    • A new approach describing irreversible processes
    • ed. O. Brulin and R. K. T. Hsieh. North-Holland, Amsterdam
    • Anthony, K.-H., A new approach describing irreversible processes. In Continuum Models of Discrete Systems, Vol. 4, ed. O. Brulin and R. K. T. Hsieh. North-Holland, Amsterdam, 1981.
    • (1981) Continuum Models of Discrete Systems , vol.4
    • Anthony, K.-H.1
  • 30
    • 0042282994 scopus 로고
    • Unification of continuum mechanics and thermodynamics by means a Lagrange formalism
    • Anthony, K.-H., Unification of continuum mechanics and thermodynamics by means a Lagrange formalism. Archives of Mechanics, 1989, 41, 511-534.
    • (1989) Archives of Mechanics , vol.41 , pp. 511-534
    • Anthony, K.-H.1
  • 31
    • 0042283685 scopus 로고
    • Phenomenological thermodynamics of irreversible processes within Lagrange formalism
    • Anthony, K.-H., Phenomenological thermodynamics of irreversible processes within Lagrange formalism. Acta Physica Hungarica, 1990, 67, 321-340.
    • (1990) Acta Physica Hungarica , vol.67 , pp. 321-340
    • Anthony, K.-H.1
  • 32
    • 0042283024 scopus 로고
    • On the Lagrange functional for dissipative processes
    • Kotowski, R., On the Lagrange functional for dissipative processes, Archives of Mechanics, 1989, 41, 571-581.
    • (1989) Archives of Mechanics , vol.41 , pp. 571-581
    • Kotowski, R.1
  • 35
    • 0001336248 scopus 로고
    • Fluctuations in reversible chemical reactions
    • Grabert, H., Hänggi P. and Oppenheim, I., Fluctuations in reversible chemical reactions. Physica, 1983, 117A, 300-316.
    • (1983) Physica , vol.117 A , pp. 300-316
    • Grabert, H.1    Hänggi, P.2    Oppenheim, I.3
  • 36
    • 3042903671 scopus 로고
    • Algebraic symmetry in chemical reaction systems at stationary states arbitrarily far from equilibrium
    • Shiner, J. S., Algebraic symmetry in chemical reaction systems at stationary states arbitrarily far from equilibrium. Journal of Chemical Physics, 1987, 87, 1089-1094.
    • (1987) Journal of Chemical Physics , vol.87 , pp. 1089-1094
    • Shiner, J.S.1
  • 37
    • 0004926196 scopus 로고    scopus 로고
    • A Lagrangian formulation of chemical reaction dynamics far from equilibrium
    • Taylor and Francis, New York
    • Shiner, J. S., A Lagrangian formulation of chemical reaction dynamics far from equilibrium. In Flow, Diffusion and Rate Processes, Advances in Thermodynamics Series, Vol. 6, Taylor and Francis, New York, pp. 248-282.
    • Flow, Diffusion and Rate Processes, Advances in Thermodynamics Series , vol.6 , pp. 248-282
    • Shiner, J.S.1
  • 38
    • 0023534752 scopus 로고
    • From a least action principle to mass action law and extended affinity
    • Sieniutycz, S., From a least action principle to mass action law and extended affinity. Chemical Engineering Science, 1987, 42, 2697-2711.
    • (1987) Chemical Engineering Science , vol.42 , pp. 2697-2711
    • Sieniutycz, S.1
  • 39
    • 0010775993 scopus 로고
    • Variational and extremum principles of homogeneous chemical kinetics. I. Lagrangian- and Hamiltonian-like formulations
    • Sieniutycz, S. and Shiner, J. S., Variational and extremum principles of homogeneous chemical kinetics. I. Lagrangian- and Hamiltonian-like formulations. Open Systems Information Dynamics, 1992, 1, 149-182.
    • (1992) Open Systems Information Dynamics , vol.1 , pp. 149-182
    • Sieniutycz, S.1    Shiner, J.S.2
  • 40
    • 34249837823 scopus 로고
    • Variational and extremum principles of homogeneous chemical kinetics. II. Minimum dissipation approaches
    • Sieniutycz, S. and Shiner, J. S., Variational and extremum principles of homogeneous chemical kinetics. II. Minimum dissipation approaches. Open Systems Information Dynamics, 1993, 1, 327-348.
    • (1993) Open Systems Information Dynamics , vol.1 , pp. 327-348
    • Sieniutycz, S.1    Shiner, J.S.2
  • 41
    • 0028694704 scopus 로고
    • The chemical dynamics of biological systems: Variational and extremal formulations
    • Shiner, J. S. and Sieniutycz, S., The chemical dynamics of biological systems: variational and extremal formulations. Progress in Biophysics & Molecular Biology, 1994, 62, 203-221.
    • (1994) Progress in Biophysics & Molecular Biology , vol.62 , pp. 203-221
    • Shiner, J.S.1    Sieniutycz, S.2
  • 42
    • 0016477678 scopus 로고
    • On the existence and formulation of variational principles for nonlinear differential equations
    • Atherton, R. W. and Homsy, G. M., On the existence and formulation of variational principles for nonlinear differential equations. Studies in Applied Mathematics, 1975, 54, 31-80.
    • (1975) Studies in Applied Mathematics , vol.54 , pp. 31-80
    • Atherton, R.W.1    Homsy, G.M.2
  • 43
    • 36749104948 scopus 로고
    • The inverse problem of the calculus of variations applied to continuum physics
    • Bampi, F. and Morro, A., The inverse problem of the calculus of variations applied to continuum physics. Journal of Mathematical Physics, 1982, 23, 2312-2321.
    • (1982) Journal of Mathematical Physics , vol.23 , pp. 2312-2321
    • Bampi, F.1    Morro, A.2
  • 44
    • 0346672365 scopus 로고
    • Necessary and sufficient conditions for the existence of a Lagrangian in field theory I. Variational approach to self-adjointness for tensorial field equations
    • NY
    • Santilli, R. M., Necessary and sufficient conditions for the existence of a Lagrangian in field theory I. Variational approach to self-adjointness for tensorial field equations. Annals of Physics (NY), 1977, 103, 354-408.
    • (1977) Annals of Physics , vol.103 , pp. 354-408
    • Santilli, R.M.1
  • 45
    • 0001066786 scopus 로고
    • The Hamiltonian problem from the global viewpoint
    • Perlick, V., The Hamiltonian problem from the global viewpoint. Journal of Mathematical Physics, 1992, 33, 599-606.
    • (1992) Journal of Mathematical Physics , vol.33 , pp. 599-606
    • Perlick, V.1
  • 47
    • 0001496189 scopus 로고
    • Composite variational principles and the determination of conservation laws
    • Caviglia, G., Composite variational principles and the determination of conservation laws. Journal of Mathematical Physics, 1988, 29, 812-816.
    • (1988) Journal of Mathematical Physics , vol.29 , pp. 812-816
    • Caviglia, G.1
  • 49
    • 5844321604 scopus 로고
    • Canonical formalism, fundamental equation and generalized thermomechanics for irreversible fluids with heat transfer
    • Sieniutycz, S. and Berry, R. S., Canonical formalism, fundamental equation and generalized thermomechanics for irreversible fluids with heat transfer. Physics Review, E, 1993, 47, 1765-1783.
    • (1993) Physics Review, E , vol.47 , pp. 1765-1783
    • Sieniutycz, S.1    Berry, R.S.2
  • 51
    • 0000286944 scopus 로고
    • Mathematical principles of classical fluid mechanics
    • ed. S. Flugge, Springer, Berlin
    • Serrin, J., Mathematical principles of classical fluid mechanics. In Handbook der Physik, Vol. VII/1, ed. S. Flugge, Springer, Berlin, 1959.
    • (1959) Handbook der Physik , vol.1-7
    • Serrin, J.1
  • 53
    • 0042282995 scopus 로고
    • Functional poisson brackets for nonlinear fluid mechanics equations
    • ed. J. Casas-Vàzquez, D. Jou and J. M. Rubi. Springer, Berlin
    • Nonnenmacher, T. F., Functional Poisson brackets for nonlinear fluid mechanics equations. In Recent Developments in Nonequilibrium Thermodynamics: Fluids and Related Topics, ed. J. Casas-Vàzquez, D. Jou and J. M. Rubi. Springer, Berlin, 1986, pp. 149-174.
    • (1986) Recent Developments in Nonequilibrium Thermodynamics: Fluids and Related Topics , pp. 149-174
    • Nonnenmacher, T.F.1
  • 54
    • 0024173950 scopus 로고
    • Hamiltonian energy-momentum tensor in extended thermodynamics of one-component fluid
    • Sieniutycz, S., Hamiltonian energy-momentum tensor in extended thermodynamics of one-component fluid. Inzynieria Chemiorno i Procesowa, 1988, 4, 839-861.
    • (1988) Inzynieria Chemiorno I Procesowa , vol.4 , pp. 839-861
    • Sieniutycz, S.1
  • 55
    • 35949010569 scopus 로고
    • Conservation laws from Hamilton's principle for nonlocal thermodynamic equilibrium fluids with heat flow
    • Sieniutycz, S. and Berry, R. S., Conservation laws from Hamilton's principle for nonlocal thermodynamic equilibrium fluids with heat flow. Physics Review, A, 1989, 40, 348-361.
    • (1989) Physics Review, A , vol.40 , pp. 348-361
    • Sieniutycz, S.1    Berry, R.S.2
  • 56
    • 0043285959 scopus 로고
    • Variational principles in thermodynamics
    • Muschik, W. and Trostel, R., Variational principles in thermodynamics. ZAMM, 1983, 63, T190-T192.
    • (1983) ZAMM , vol.63
    • Muschik, W.1    Trostel, R.2
  • 57
    • 11644273710 scopus 로고
    • Extended irreversible thermodynamics : An overview of recent bibliography
    • Jou, D., Casas-Vàzquez, J. and Lebon, G., Extended irreversible thermodynamics : an overview of recent bibliography. J. Non-Equilibrium Thermodynamics, 1992, 17, 383-396.
    • (1992) J. Non-equilibrium Thermodynamics , vol.17 , pp. 383-396
    • Jou, D.1    Casas-Vàzquez, J.2    Lebon, G.3
  • 58
    • 0003011186 scopus 로고
    • Variational principles in thermomechanics
    • ed. G. Lebon and P. Perzyna. CISM Courses and Lectures, Springer, Vienna
    • Lebon, G., Variational principles in thermomechanics. In Recent Developments in Thermomechanics of Solids, ed. G. Lebon and P. Perzyna. CISM Courses and Lectures, Vol. 262, Springer, Vienna, 1986, pp. 221-415.
    • (1986) Recent Developments in Thermomechanics of Solids , vol.262 , pp. 221-415
    • Lebon, G.1
  • 59
    • 0042784111 scopus 로고
    • Hamiltonian fluid mechanics
    • Salmon, R., Hamiltonian fluid mechanics. Annual Mechanical Review, 1987, 12, 51-67.
    • (1987) Annual Mechanical Review , vol.12 , pp. 51-67
    • Salmon, R.1
  • 69
    • 0042784745 scopus 로고
    • Transport properties of liquid electrolytes
    • ed. B. R. Sundheim. McGraw-Hill, New York
    • Sundheim, B. R., Transport properties of liquid electrolytes. In Fused Salts, ed. B. R. Sundheim. McGraw-Hill, New York, 1964, pp. 165-264.
    • (1964) Fused Salts , pp. 165-264
    • Sundheim, B.R.1
  • 70
    • 0017943533 scopus 로고
    • Diffusion and electric conduction in multicomponent electrolyte systems
    • Ekman, A., Liukkonen, S. and Kontturi, K., Diffusion and electric conduction in multicomponent electrolyte systems. Electrochemica Acta, 1978, 23, 243-250.
    • (1978) Electrochemica Acta , vol.23 , pp. 243-250
    • Ekman, A.1    Liukkonen, S.2    Kontturi, K.3
  • 77
    • 0019439808 scopus 로고
    • The thermodynamics stability of coupled heat and mass transfer described by linear wave equations
    • Sieniutycz, S., The thermodynamics stability of coupled heat and mass transfer described by linear wave equations. Chemical Engineering Science, 1981, 36, 621-624.
    • (1981) Chemical Engineering Science , vol.36 , pp. 621-624
    • Sieniutycz, S.1
  • 78
    • 4243798769 scopus 로고
    • The stability of coupled heat and mass transfer in presence of inertial (wave) effects
    • Sieniutycz, S., The stability of coupled heat and mass transfer in presence of inertial (wave) effects. Physics Letters, 1981, 78A, 433-436.
    • (1981) Physics Letters , vol.78 A , pp. 433-436
    • Sieniutycz, S.1
  • 79
    • 0042938587 scopus 로고
    • Locally attractive normal modes for chemical processes
    • Fernandez, A. and Sinanoglu, O., Locally attractive normal modes for chemical processes. Journal of Mathematical Physics, 1984, 25, 2576-2581.
    • (1984) Journal of Mathematical Physics , vol.25 , pp. 2576-2581
    • Fernandez, A.1    Sinanoglu, O.2


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