The maximum entropy production principle and linear irreversible processes

Entropy

Volumn 12, Issue 5, 2010, Pages 996-1005

  Županović, Paško ^a   Kuić, Domagoj ^a   Lošić, Željana Bonačić ^a   Petrov, Dražen ^a   Juretić, Davor ^a   Brumen, Milan ^b  

^a UNIVERSITY OF SPLIT   (Croatia)

^b UNIVERSITY OF MARIBOR   (Slovenia)

Author keywords

Entropy production; Linear nonequilibrium thermodynamics; Linearized Boltzmann equation

Indexed keywords

EID: 77953530142     PISSN: None     EISSN: 10994300     Source Type: Journal    
DOI: 10.3390/e12050996     Document Type: Article

References (23)

1. Prigogine, I. Introduction to Thermodynamics of Irreversible Processes; Interscience Publishers: New York, NY, USA, 1967.
2. Ziegler, H. An Introduction to Thermomechanics; North-Holland publishing company: Amsterdam, The Netherlands, 1983.
3. Paltridge, G.W. The steady-state format of global climate. Q.J.R. Meteorol. Soc. 1978, 104, 927-945.
4. Chavanis, P.H.; Sommeria, J.; Robert, R. Statistical mechanics of two-dimensional vortices and collisionless stellar systems. Astrophys. J. 1996, 471, 385-399.
5. Chavanis, P.H. Generalized thermodynamics and Fokker-Planck equations. Applications to stellar dynamics and two-dimensional turbulence Phys. Rev. E, 2003, 68, 036108.
6. Kohler, M. Behandlung von Nichtgleichgewichtsvorgängen mit Hilfe eines Extremalprinzips. Z. Phys. 1948, 124, 772-789.
7. 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.
8. Dewar, R.C. Maximum entropy production and the fluctuation theorem. J. Phys. A: Math. Gen. 2005, 38, L371-L381.
9. Niven, R.K. Steady state of a dissipative flow-controlled system and the maximum entropy production principle. Phys. Rev. E 2009, 80, 021113-021127.
10. Ziman, J.M. The general variational principle of transport theory. Can. J. Phys. 1956, 34, 1256-1273.
11. Martyushev, L.M.; Seleznev, V.D. Maximum entropy production principle in physics, chemistry and biology. Phys. Rep. 2006, 426, 1-45.
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. De Groot, S.R.; Mazur, P. Non-Equilibrium Thermodynamics; North-Holland Pub. Co.: Amsterdam, The Netherlands, 1962.
15. Evans, D.J.; Morris, G.P. Statistical Mechanics of Nonequilibrium Liquids; ACADEMIC PRESS: London, UK, 1990.
16. Krasnov, M.I.; Makarenko, G.I.; Kiselev, A.I. Problems and Exercises in the Calculus of Variations; Mir Publishers: Moscow, Russia, 1975.
17. Chavanis P.H. Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations. Eur. Phys. J. B 2008, 68, 179-208.
18. Županović, P.; Juretić, D. The chemical cycle kinetics close to the equilibrium state and electrical circuit analogy. Croat. Chem. Acta 2004, 77, 561-571.
19. Županović, P.; Juretić, D.; Botrić, S. Kirchhoff's loop law and the maximum entropy production principle. Phys. Rev. E 2004, 70, 056108: 1-5.
20. Botrić, S.; Županović, P.; Juretić, D. Is the stationary current distribution in a linear planar electric network determined by the principle of maximum entropy production? Croat. Chem. Acta 2005, 78, 181-184.
21. Jaynes, E.T. The minimum entropy production principle. Ann. Rev. Phys. Chem. 1980, 31, 579-601.
22. Županović, P.; Juretić, D.; Botrić, S. On the equivalence between Onsager's principle of the least dissipation of energy and maximum entropy production principle: Conduction of heat in an anisotropic crystal. FIZIKA A 2005, 14, 89-96.
23. Rumer, Yu.B.; Ryvkin, M.S. Thermodynamics, Statistical Physics, and Kinetics; Mir Publishers: Moscow, Russia, 1980.