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From Lotka to the entropy generation approach

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  • Lucia, Umberto
  • Sciubba, Enrico

Abstract

The entropy approach to the evolution of open systems is analyzed, using Lotka’s principle as a starting point. A Lagrangian is sought after to develop an analytical method for the evaluation of the stationary states of open irreversible systems. The stationary conditions for open systems are first obtained on the basis of the entropy generation and its maximum principle, suggesting them as a link between the classical engineering thermodynamics approach and the more mathematical Lotka point of view.

Suggested Citation

  • Lucia, Umberto & Sciubba, Enrico, 2013. "From Lotka to the entropy generation approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3634-3639.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:17:p:3634-3639
    DOI: 10.1016/j.physa.2013.04.025
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    References listed on IDEAS

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    1. Lucia, Umberto, 2013. "Stationary open systems: A brief review on contemporary theories on irreversibility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(5), pages 1051-1062.
    2. Sciubba, Enrico & Ulgiati, Sergio, 2005. "Emergy and exergy analyses: Complementary methods or irreducible ideological options?," Energy, Elsevier, vol. 30(10), pages 1953-1988.
    3. Sciubba, Enrico, 2011. "What did Lotka really say? A critical reassessment of the “maximum power principle”," Ecological Modelling, Elsevier, vol. 222(8), pages 1347-1353.
    4. Geoffrey P. Hammond & Adrian B. Winnett, 2009. "The Influence of Thermodynamic Ideas on Ecological Economics: An Interdisciplinary Critique," Sustainability, MDPI, vol. 1(4), pages 1-31, December.
    5. Lucia, Umberto, 2012. "Irreversibility in biophysical and biochemical engineering," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5997-6007.
    6. Lucia, Umberto, 2013. "Carnot efficiency: Why?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3513-3517.
    7. Lucia, Umberto, 2013. "Entropy and exergy in irreversible renewable energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 20(C), pages 559-564.
    8. Sciubba, Enrico, 2010. "On the Second-Law inconsistency of Emergy Analysis," Energy, Elsevier, vol. 35(9), pages 3696-3706.
    9. Lucia, U., 2012. "Maximum or minimum entropy generation for open systems?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(12), pages 3392-3398.
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    Cited by:

    1. Lucia, Umberto, 2014. "Entropy generation and cell growth with comments for a thermodynamic anticancer approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 107-118.
    2. Herrmann-Pillath, Carsten, 2015. "Energy, growth, and evolution: Towards a naturalistic ontology of economics," Ecological Economics, Elsevier, vol. 119(C), pages 432-442.
    3. Deng, Xinyang & Deng, Yong, 2014. "On the axiomatic requirement of range to measure uncertainty," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 163-168.
    4. Attorre, F. & Sciubba, E. & Vitale, M., 2019. "A thermodynamic model for plant growth, validated with Pinus sylvestris data," Ecological Modelling, Elsevier, vol. 391(C), pages 53-62.
    5. Lucia, Umberto, 2014. "Entropy generation: Minimum inside and maximum outside," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 396(C), pages 61-65.
    6. Umberto Lucia & Giulia Grisolia, 2018. "Cyanobacteria and Microalgae : Thermoeconomic Considerations in Biofuel Production," Energies, MDPI, vol. 11(1), pages 1-16, January.
    7. Lucia, Umberto, 2016. "Econophysics and bio-chemical engineering thermodynamics: The exergetic analysis of a municipality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 421-430.
    8. Umberto Lucia, 2014. "The Gouy-Stodola Theorem in Bioenergetic Analysis of Living Systems (Irreversibility in Bioenergetics of Living Systems)," Energies, MDPI, vol. 7(9), pages 1-23, September.
    9. Lucia, Umberto, 2014. "Entropy generation approach to cell systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 1-11.
    10. Lucia, Umberto & Grisolia, Giulia, 2017. "Unavailability percentage as energy planning and economic choice parameter," Renewable and Sustainable Energy Reviews, Elsevier, vol. 75(C), pages 197-204.
    11. Lucia, Umberto, 2015. "Quanta and entropy generation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 115-121.
    12. Lucia, Umberto, 2013. "Exergy flows as bases of constructal law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6284-6287.

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