From Lotka to the entropy generation approach

Physica A: Statistical Mechanics and its Applications

Volumn 392, Issue 17, 2013, Pages 3634-3639

  Lucia, Umberto ^a   Sciubba, Enrico ^b  

^a POLITECNICO DI TORINO   (Italy)

^b Department of Mechanical and Aerospace Engineering ^*  (Italy)

Author keywords

Entropy generation rate; Lagrangian evolution equation; Non equilibrium systems

Indexed keywords

LAGRANGE MULTIPLIERS;

ANALYTICAL METHOD; ENGINEERING THERMODYNAMICS; ENTROPY APPROACH; ENTROPY GENERATION; ENTROPY GENERATION RATE; LAGRANGIAN EVOLUTION; NONEQUILIBRIUM SYSTEM; STATIONARY CONDITIONS;

ENTROPY;

EID: 84878386282     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2013.04.025     Document Type: Article

References (34)

1. P. Unrean, and F. Srienc Metabolic networks evolve towards states of maximum entropy production Metab. Eng. 13 2011 666 673
2. F. Srienc, and P. Unrean A statistical thermodynamical interpretation of metabolism Entropy 12 2010 1921 1935
3. E. Sciubba What did Lotka really say? A critical reassessment of the maximum power principle Ecol. Modell. 222 8 2011 1347 1353
4. A. Annila, and E. Kuismanen Natural hierarchy emerges from energy dispersal Biosystems 95 2009 227 233
5. A. Annila, and S. Salthe Physical foundations of evolutionary theory J. Non-Equilib. Thermodyn. 35 2010 301 321
6. T.T Cai, C.L. Montague, and J.S. Davis The maximum power principle: an empirical investigation Ecol. Modell. 190 3-4 2006 317 335
7. G.P. Hammond, and A.B. Winnett The influence of thermodynamic ideas on ecological economics: an interdisciplinary critique Sustainability 1 2009 1195 1225
8. R. Kuemmel The Second Law of Economics: Energy, Entropy, and the Origins of Wealth 2011 Springer Berlin
9. V. Pokrovskii Econodynamics. The Theory of Social Production 2011 Springer Berlin
10. A. Reine, L. Foster, and J. Potts The new entropy law and the economic process Ecol. Complex. 3 2006 354 360
11. L. Boltzmann, Der zweite Hauptsatz der mechanischen Waermetheorie, [The second Principle of the mechanical Theory of Heat], Lecture to the Imperial Academy of Science, Berlin, May 29, 1886 (in German).
12. A.J. Lotka Contribution to the energetics of evolution Proc. Natl. Acad. Sci. 8 1922 147 151
13. Th. Dobzhansky, F.J. Ayala, G.L. Stebbins, and J.W. Valentine Evolution 1977 W.H. Freeman San Francisco
14. A.J. Lotka Natural selection as a physical principle Proc. Natl. Acad. Sci. 8 1922 151 154
15. M.N. Özisik Heat Conduction 1980 John Wiley & Sons New York
16. C. Truesdell Rational Thermodynamics 1984 Springer-Verlag Berlin
17. U. Lucia Mathematical consequences of Gyarmati's principle in Rational Thermo-dynamics Il Nuovo Cimento B 110 10 1995 1227 1235
18. U. Lucia Probability, ergodicity, irreversibility and dynamical systems Proc. R. Soc. A 464 2008 1089 1184
19. U. Lucia Maximum or minimum entropy generation for open systems? Physica A 391 12 2012 3392 3398
20. U. Lucia Stationary open systems: a brief review on contemporary theories on irreversibility Physica A 392 5 2013 1051 1062
21. A. Annila, and S. Salthe Economies evolve by energy dispersal Entropy 11 2009 606 633
22. A. Bejan, and S. Lorente The constructal law of design and evolution in nature Philos. Trans. R. Soc. B 365 2010 1335 1347
23. A. Bejan Advanced Engineering Thermodynamics 2006 John Wiley NJ
24. B.H. Lavenda Thermodynamics of Irreversible Processes 1978 Macmillan Press London
25. C. Kittel, and H. Kroemer Thermal Physics 1980 W. H. Freeman New York
26. H. Ozawa, A. Ohmura, R.D. Lorenz, and T. Pujol The second law of thermodynamics and the global climate system: a review of the maximum entropy production principle Rev. Geophys. 41 4 2003 1018 1041
27. I. Gyarmati Non-Equilibrium Thermodynamics. Field Theory and Variational Principles 1970 Springer-Verlag Berlin
28. U. Lucia Entropy and exergy in irreversible renewable energy systems Renewable Sustainable Energy Rev. 20 2013 559 564
29. U. Lucia Irreversibility in biophysics and biochemical engineering Physica A 391 2012 5997 6007
30. E. Sciubba, and S. Ulgiati Emergy and Exergy analyses: complementary methods or irreducible ideological options? Energy 30 10 2005 1953 1988
31. E. Sciubba On the second law inconsistency of emergy analysis Energy 35 2010 3696 3706
32. E. Sciubba, and F. Zullo Exergy-based population dynamics: a thermodynamic view of the sustainability concept Sustainability 14 2010 2611 2629
33. R. Dewar Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states J. Phys. A: Math. Gen. 36 2003 631 641
34. U. Lucia Carnot efficiency: Why? Physica A 2013 10.1016/j.physa.2013.04. 020 (in press)