On the problem of formulating principles in nonequilibrium thermodynamics

Entropy

Volumn 12, Issue 4, 2010, Pages 926-931

  Županović, Paško ^a   Kuić, Domagoj ^a   Juretić, Davor ^a   Dobovišek, Andrej ^b  

^a UNIVERSITY OF SPLIT   (Croatia)

^b UNIVERSITY OF MARIBOR   (Slovenia)

Author keywords

Entropy production; Relaxation; Stationary process

Indexed keywords

EID: 77953500831     PISSN: None     EISSN: 10994300     Source Type: Journal    
DOI: 10.3390/e12040926     Document Type: Article

References (27)

1. Khinchin, A.I. Mathematical Foundations of Statistical Mechanics; Dover Publication Inc: New York, NY, USA, 1949.
2. Chang, L. Physical Chemistry for the Chemical and Biological Sciences; University science book: Sausalito, CA, USA, 2000.
3. DeGroot, S.R.; Mazur, P. Non-Equilibrium Thermodynamics; Dover Publications Inc.: New York, NY, USA, 1962.
4. Chandrasekhar, S. Hydrodynamic And Hydromagnetic Stability; Oxford University Press: Oxford, UK, 1961.
5. Rayleigh, W. The explanation of certain acoustical phenomena. Nature 1878, 18, 319-321.
6. Paltridge, G.W. Climate And Thermodynamic Systems Of Maximum Dissipation. Nature 1979 279, 630-631.
7. Ozawa, H.; Shimokawa, S.; Sakuma H. Thermodynamics of fluid turbulence: A unified approach to the maximum transport properties. Phys. Rev. E 2001, 64, 026303-1-8.
8. Malkus, W.V.R. Outline of A theory of turbulent shear flow. J. Fluid Mech 1956, 1:5, 521-539.
9. Di Vita, A. Maximum or minimum entropy production? How to select a necessary criterion of stability for your dissipative fluid (or plasma). Phys. Rev E; in press.
10. Dewar, R. Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states. J. Phys. A: Math. Gen. 2003, 36, 631-641.
11. Jaynes, E.T. The minimum entropy production principle. Ann. Rev. Phys. Chem. 1980, 31, 579-601.
12. Onsager, L. Reciprocal relations in irreversible processes. I. Phys. Rev. 1931, 37, 405-426.
13. Onsager, L. Reciprocal relations in irreversible processes. II. Phys. Rev. 1931, 38, 2265-2279.
14. Županović, P.; Kuić D.; Bonačić Lošić, Ž.; Petrov, D.; Juretić D.; Brumen M.; The maximum entropy production principle and linear irreversible processes. Available online: http://arxiv.org/abs/1003.3680 (accessed on 18 March 2010).
15. Enskog, D. Kinetische Theorie der Vorgänge in mässig verdünnten Gasen, Dissertation; Upssala University: Upssala, Sweden, 1917.
16. Kohler, M. Behandlung von Nichtgleichgewichtsvorgängen mit Hilfe eines Extremalprinzips. Z. Phys. 1948, 124, 772-789.
17. Jaynes, E.T. Information theory and statistical mechanics. Phys. Rev. 1957, 106, 620-630.
18. Jaynes, E.T. Information theory and statistical mechanics. II. Phys. Rev. 1957, 108, 171-190.
19. Jaynes, E.T. On the rationale of maximum-entropy methods. Proc. IEEE. 1982, 70, 939-952.
20. Dewar, R.C. Maximum entropy production and the fluctuation theorem. J. Phys. A: Math. Gen. 2005, 38, L371-L381.
21. Niven, R.K. Steady state of a dissipative flow-controlled system and the maximum entropy production principle. Phys. Rev. E 2009, 80, 021113-021127.
22. Martyushev, L.M.; Seleznev, V.D. Maximum entropy production principle in physics, chemistry and biology. Phys. Rep. 2006, 426, 1-45.
23. Bruers, S. A discussion on maximum entropy production and information theory. J. Phys. A: Math. Theor. 2007, 40, 7441-7450.
24. Grinstein, G.; Linsker, R. Comments on a derivation and application of the "maximum entropy production" principle. J. Phys. A: Math. Theor. 2007, 40, 9717-9720.
25. Prigogine, I. Introduction to Thermodynamics of Irreversible Processes; Interscience Publishers: New York, NY, USA, 1967.
26. Jeans, J.H. The Mathematical Theory of Electricity and Magnetism; Cambridge University Press: Cambridge, UK, 1923.
27. Županović, P.; Juretić, D.; Botrić, S. Kirchhoff's loop law and the maximum entropy production principle. Phys. Rev. E 2004, 70, 056108-1-056108-5.