Kirchhoff's loop law and the maximum entropy production principle

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 5 2, 2004, Pages

  Županović, Paško ^a   Juretić, Davor ^a   Botrić, Srećko ^b  

^a UNIVERSITY OF SPLIT   (Croatia)

^b UNIVERSITY OF SPLIT   (Croatia)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCUIT THEORY; ELECTRIC CURRENTS; ELECTRIC POTENTIAL; ELECTRIC RESISTANCE; FREQUENCY MULTIPLYING CIRCUITS; PROBLEM SOLVING; THERMAL EFFECTS;

ELECTROMOTIVE FORCE; ENTROPY PRODUCTION; KIRCHOFF LAW; STANDARD DEVIATION;

ENTROPY;

EID: 41349100908     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.056108     Document Type: Article

References (35)

1. G. Kirchhoff, Ann. Phys. Chem. 72, 497 (1847).
2. R.P. Feynman, R.B. Leighton, and M. Sands, The Feynman Lectures on Physics, Vol. 2 (Addison-Wesley, Reading, MA, 1964).
3. F.W. Sears, M.W. Zemansky, and H.D. Young, College Physics, 7th ed. (Addison-Wesley, Reading, MA, 1991).
4. D. Halliday and R. Resnick, Fundamentals of Physics (Wiley, New York, 1988).
5. D.E. Johnson, J.L. Hilburn, and J.R. Johnson, Basic Electric Circuit Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1986).
6. R.C. Dewar, J. Phys. A 36, 631 (2003).
7. I. Prigogine, Introduction to Thermodynamics of Irreversible Processes (Interscience, New York, 1967).
8. M.I. Krasnov, G.I. Makarenko, and A.I. Kiselev, Problems and Exercises in the Calculus of Variations (Mir, Moscow, 1975).
9. E.T. Jaynes, Annu. Rev. Phys. Chem. 31, 579 (1980).
10. S.R. Caplan and A. Essig, Bioenergetics and Linear Non-equilibrium Thermodynamics (Harvard University Press, Cambridge, MA 1983).
11. D. Kondepudi and I. Prigogine, Modern Thermodynamics (John Wiley & Sons, Chichester, 2002).
12. J.C. Maxwell, A Treatise on Electricity and Magnetism (Dover, New York, 1954), Vol. 2.
13. J.H. Jeans, The Mathematical Theory of Electricity and Magnetism (Cambridge University Press, Cambridge, England 1923).
14. L. Onsager, Phys. Rev. 37, 405 (1931).
15. L. Onsager, Phys. Rev. 38, 2265 (1931).
16. J.W.S. Rayleigh, The Theory of Sound (Dover, New York, 1945), Vol. 1.
17. M. Kohler, Z. Phys. 124, 772 (1948).
18. J.M. Ziman, Can. J. Phys. 34, 1256 (1956).
19. E.T. Jaynes, Phys. Rev. 106, 620 (1957).
20. E.T. Jaynes, Phys. Rev. 108, 171 (1957).
21. P. Županović and D. Juretić, Croat. Chem. Acta (to be published).
22. D. Juretić and P. Županović, Comput. Biol. Chem. 27, 541 (2003).
23. A. Hill, Nature (London) 348, 426 (1990); R. Robert and J. Sommeria, Phys. Rev. Lett. 69, 2776 (1992); P. Bak, C. Tang, and K. Wiesenfeld, ibid. 59, 381 (1987); R. Swenson, Syst. Res. 6, 187 (1989); Y. Sawada, Prog. Theor. Phys. 66, 68 (1981); H. Ziegler, An Introduction to Thermomechanics (North-Holland, Amsterdam, 1983).
24. A. Hill, Nature (London) 348, 426 (1990); R. Robert and J. Sommeria, Phys. Rev. Lett. 69, 2776 (1992); P. Bak, C. Tang, and K. Wiesenfeld, ibid. 59, 381 (1987); R. Swenson, Syst. Res. 6, 187 (1989); Y. Sawada, Prog. Theor. Phys. 66, 68 (1981); H. Ziegler, An Introduction to Thermomechanics (North-Holland, Amsterdam, 1983).
25. A. Hill, Nature (London) 348, 426 (1990); R. Robert and J. Sommeria, Phys. Rev. Lett. 69, 2776 (1992); P. Bak, C. Tang, and K. Wiesenfeld, ibid. 59, 381 (1987); R. Swenson, Syst. Res. 6, 187 (1989); Y. Sawada, Prog. Theor. Phys. 66, 68 (1981); H. Ziegler, An Introduction to Thermomechanics (North-Holland, Amsterdam, 1983).
26. A. Hill, Nature (London) 348, 426 (1990); R. Robert and J. Sommeria, Phys. Rev. Lett. 69, 2776 (1992); P. Bak, C. Tang, and K. Wiesenfeld, ibid. 59, 381 (1987); R. Swenson, Syst. Res. 6, 187 (1989); Y. Sawada, Prog. Theor. Phys. 66, 68 (1981); H. Ziegler, An Introduction to Thermomechanics (North-Holland, Amsterdam, 1983).
27. A. Hill, Nature (London) 348, 426 (1990); R. Robert and J. Sommeria, Phys. Rev. Lett. 69, 2776 (1992); P. Bak, C. Tang, and K. Wiesenfeld, ibid. 59, 381 (1987); R. Swenson, Syst. Res. 6, 187 (1989); Y. Sawada, Prog. Theor. Phys. 66, 68 (1981); H. Ziegler, An Introduction to Thermomechanics (North-Holland, Amsterdam, 1983).
28. A. Hill, Nature (London) 348, 426 (1990); R. Robert and J. Sommeria, Phys. Rev. Lett. 69, 2776 (1992); P. Bak, C. Tang, and K. Wiesenfeld, ibid. 59, 381 (1987); R. Swenson, Syst. Res. 6, 187 (1989); Y. Sawada, Prog. Theor. Phys. 66, 68 (1981); H. Ziegler, An Introduction to Thermomechanics (North-Holland, Amsterdam, 1983).
29. R.D. Lorenz, J.I. Lunine, P.O. Withers, and C.P. McKay, Geophys. Res. Lett. 28, 415 (2001); G.W. Paltridge, Q. J. R. Meteorol. Soc. 127, 305 (2001); R. Lorenz, Science 299, 837 (2003); H.-J. Woo, Phys. Rev. E 66, 066104 (2002); H.-J. Woo, Europhys. Lett. 64, 627 (2003); R.C. Dewar, in Thermodynamics of Life, Earth and Beyond: Systems, Feedbacks, Organization, and Evolution, edited by A. Kleidon and R.D. Lorenz (Springer-Verlag, in press).
30. R.D. Lorenz, J.I. Lunine, P.O. Withers, and C.P. McKay, Geophys. Res. Lett. 28, 415 (2001); G.W. Paltridge, Q. J. R. Meteorol. Soc. 127, 305 (2001); R. Lorenz, Science 299, 837 (2003); H.-J. Woo, Phys. Rev. E 66, 066104 (2002); H.-J. Woo, Europhys. Lett. 64, 627 (2003); R.C. Dewar, in Thermodynamics of Life, Earth and Beyond: Systems, Feedbacks, Organization, and Evolution, edited by A. Kleidon and R.D. Lorenz (Springer-Verlag, in press).
31. R.D. Lorenz, J.I. Lunine, P.O. Withers, and C.P. McKay, Geophys. Res. Lett. 28, 415 (2001); G.W. Paltridge, Q. J. R. Meteorol. Soc. 127, 305 (2001); R. Lorenz, Science 299, 837 (2003); H.-J. Woo, Phys. Rev. E 66, 066104 (2002); H.-J. Woo, Europhys. Lett. 64, 627 (2003); R.C. Dewar, in Thermodynamics of Life, Earth and Beyond: Systems, Feedbacks, Organization, and Evolution, edited by A. Kleidon and R.D. Lorenz (Springer-Verlag, in press).
32. R.D. Lorenz, J.I. Lunine, P.O. Withers, and C.P. McKay, Geophys. Res. Lett. 28, 415 (2001); G.W. Paltridge, Q. J. R. Meteorol. Soc. 127, 305 (2001); R. Lorenz, Science 299, 837 (2003); H.-J. Woo, Phys. Rev. E 66, 066104 (2002); H.-J. Woo, Europhys. Lett. 64, 627 (2003); R.C. Dewar, in Thermodynamics of Life, Earth and Beyond: Systems, Feedbacks, Organization, and Evolution, edited by A. Kleidon and R.D. Lorenz (Springer-Verlag, in press).
33. R.D. Lorenz, J.I. Lunine, P.O. Withers, and C.P. McKay, Geophys. Res. Lett. 28, 415 (2001); G.W. Paltridge, Q. J. R. Meteorol. Soc. 127, 305 (2001); R. Lorenz, Science 299, 837 (2003); H.-J. Woo, Phys. Rev. E 66, 066104 (2002); H.-J. Woo, Europhys. Lett. 64, 627 (2003); R.C. Dewar, in Thermodynamics of Life, Earth and Beyond: Systems, Feedbacks, Organization, and Evolution, edited by A. Kleidon and R.D. Lorenz (Springer-Verlag, in press).
34. R.D. Lorenz, J.I. Lunine, P.O. Withers, and C.P. McKay, Geophys. Res. Lett. 28, 415 (2001); G.W. Paltridge, Q. J. R. Meteorol. Soc. 127, 305 (2001); R. Lorenz, Science 299, 837 (2003); H.-J. Woo, Phys. Rev. E 66, 066104 (2002); H.-J. Woo, Europhys. Lett. 64, 627 (2003); R.C. Dewar, in Thermodynamics of Life, Earth and Beyond: Systems, Feedbacks, Organization, and Evolution, edited by A. Kleidon and R.D. Lorenz (Springer-Verlag, in press).
35. P. Ehrenfest and T. Ehrenfest, Enzykl. d. Math. Wiss. IV 2 II Heft 6, 82 (1912).