Variational principle for entropy in electrochemical transport phenomena

International Journal of Engineering Science

Volumn 34, Issue 5, 1996, Pages 549-560

  Sieniutycz, S ^a   Ratkje, S K ^b  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

^b NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001126983     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7225(95)00105-0     Document Type: Article

References (60)

1. L. ONSAGER, Phys. Rev. 37, 405 (1931); Phys. Rev. 38, 2265 (1931).
2. L. ONSAGER, Phys. Rev. 37, 405 (1931); Phys. Rev. 38, 2265 (1931).
3. L. ONSAGER and S. MACHLUP, Phys. Rev. 91, 1505 (1953).
4. S. MACHLUP and L. ONSAGER, Phys. Rev. 91, 1512 (1953).
5. J. KEIZER, Biosystems 8, 219 (1977).
6. I. PRIGOGINE, Etude Thermodynamique des Phenomenes Irreversibles. Desoer, Liege, 1947.
7. H. HASEGAWA, Progr. Theor. Phys. 56, 44 (1976).
8. Ch. ESSEX, Astrophys. J. 285, 279 (1984).
9. M. FABRIZIO, C. GIORGI and A. MORRO, Continuum Mech. Thermodyn. 1, 197 (1989).
10. G. LEBON and P. C. DAUBY, Phys. Rev. A. 88, 4710 (1990).
11. I. GYARMATI, Ann. Phys. (Leipzig) 23, 353 (1969).
12. I. GYARMATI, Non-equilibrium Thermodynamics. Springer, Berlin, 1970.
13. Gy. VINCZE, Ann. Phys. (Leipzig) 27, 225 (1971).
14. J. VERHAS, Ann. Phys. (Leipzig) 40, 189 (1983).
15. G. VOJTA, Ann. Phys. (Leipzig) 47, 251 (1990).
16. P. ROSEN, J. Chem. Phys. 21, 1220 (1953).
17. P. GLANSDORFF and I. PRIGOGINE, The Thermodynamic Theory of Structure, Stability and Fluctuations. Wiley, London (1971).
18. S. R. DE GROOT and P. MAZUR, Non-equilibrium Thermodynamics. North-Holland, Amsterdam (1962).
19. Ch. T. YANG and C. S. SONG, J. Hydr. Divis. 105, 769 (1979).
20. R. COURANT and D. HILBERT, Methods of Mathematical Physics, vol. II: Partial Differential Equations. Interscience Publishers, New York (1962).
21. R. W. ATHERTON and G. M. HOMSY, Stud. Appl. Math. 54, 31 (1975).
22. F. BAMPI and A. MORRO, J. Math. Phys. 23, 2312 (1982).
23. R. M. SANTILLI, Ann. Phys. (NY) 103, 354 (1977).
24. B. A. FINLAYSON and L. E. SCRIVEN, Int. J. Heat Mass Transfer 10, 799 (1967).
25. B. A. FINLAYSON, The Method of Weighted Residuals and Variational Principles. Academic Press, New York (1972).
26. G. CAVIGLIA, Int. J. Engng. Sci. 24, 1295 (1986).
27. G. CAVIGLIA, In Atti VIII Congresso Nationale AIMETA, Vol. 2, Torino, 29 September-3 October 1986, p. 743.
28. G. CAVIGLIA, J. Math. Phys. 29, 812 (1988).
29. P. M. MORSE and H. FESHBACH, Methods of Theoretical Physics. McGraw Hill, New York (1953).
30. H. CALLEN, Thermodynamics and an Introduction to Thermostatistics. Wiley, New York (1985).
31. K. GAMBÀR. F. MÀRKUS and B. NYIRI, J. Non-Equilib. Thermodyn. 16, 217 (1991).
32. F. MÀRKUS and K. GAMBÀR, J. Non-Equilib. Thermodyn. 16, 27 (1991).
33. K. GAMBÀR and F. MÀRKUS, J. Non-Equilib. Thermodyn. 18, 51 (1993).
34. B. NYIRI, Acta Physica Hungarica, 66, 19 (1989).
35. B. NYIRI, J. Non-Equilib. Thermodyn. 16, 39 (1991).
36. F. VAZQUEZ and J. A. DEL RIO, Rev. Mex. Fis. 36, 71 (1990).
37. J. A. DEL RIO, M. LOPEZ DE HARO and F. VAZQUEZ, J. Non-Equilib. Thermodyn. 17, 67 (1992).
38. M. GRMELA and G. LEBON, J. Phys. A 23, 3341 (1990).
39. M. GRMELA and G. LEBON, J. Phys. A 24, 741 (1991).
40. B. A. KUPERSHMIDT, J. Phys. A: Math. Gen. 23, L529 (1990).
41. S. SIENIUTYCZ, Inz. Chem. Proc. 4, 839 (1988).
42. S. SIENIUTYCZ and R. S. BERRY, Phys. Rev. A. 40, 348 (1989).
43. S. SIENIUTYCZ and R. S. BERRY, Phys. Rev. E. 47, 1765 (1993).
44. S. SIENIUTYCZ, Int. J. Heat Mass Transfer 22, 585 (1979).
45. S. SIENIUTYCZ, Int. J. Heat Mass Transfer 26, 55 (1983).
46. W. MUSCHIK and R. TROSTEL, ZAMM 63, T190 (1983).
47. D. JOU, J. CASAS-VÀZQUEZ and G. LEBON, Rep. Prog. Phys. 51, 1105 (1988).
48. D. JOU, J. CASAS-VÀZQUEZ and G. LEBON, J. Non-Equilib. Thermodyn. 17, 383 (1992).
49. S. SIENIUTYCZ and R. S. BERRY. Phys. Rev. A 46, 6359 (1992).
50. B. R. SUNDHEIM, in Fused Salts (Edited by B. R. SUDHEIM), pp. 165-254, McGraw Hill, New York (1964).
51. A. EKMAN, S. LIUKKONEN and K. KONTTURI, Electrochemica Acta 23, 243 (1978).
52. K. S. FORLAND, T. FORLAND and S. K. RATKJE, Irreversible Thermodynamics-Theory and Applications. Wiley, Chichester (1989).
53. K. S. FORLAND, T. FORLAND and S. K. RATKJE, Advances in Thermodynamics 6, 340 (1992).
54. F. VAN ZEGGEREN and S. STOREY, The Computation of Chemical Equilibria. Cambridge University Press, Cambridge (1970).
55. J. NEWMAN, Electrochemical Systems. Prentice Hall, Englewood Cliffs (1973).
56. P. L. CORSO, J. Phys. Chem. 87, 2416 (1983).
57. C. TRUESDELL and W. T. NOLL, In Hanbuch der Physik 3/3, (Edited by S. FLUGGE). Springer, Berlin. (1965).
58. W. NOLL, in La Mécanique Axiomatique dans les Mécaniques Classiques et Nouvelles. Colloque Internationale, Gauthiers-Villar, Paris (1959).
59. J. KARKHECK, Advances in Thermodynamics 6, 23 (1992).
60. D. EVANS and G. P. MORRIS, Statistical Mechanics of Nonequilibrium Liquids. Academic Press, London (1990).