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Maximum or minimum entropy generation for open systems?

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  • Lucia, U.

Abstract

Entropy generation is analysed and obtained from the entropy balance for open systems, considering the lifetime of the natural real process. The Lagrangian approach is discussed in order to develop an analytical method to obtain the stationary states of the open irreversible systems. The stationary conditions of the open systems are obtained in relation to the entropy generation and its maximum principle. An analysis of both minimum and maximum entropy generation is proposed, suggesting that they are two different viewpoints of the same aspect: the first is related to the system, while the second is related to the interaction between the system and the environment.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:12:p:3392-3398
    DOI: 10.1016/j.physa.2012.01.055
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    References listed on IDEAS

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    1. Lucia, Umberto, 2007. "Irreversible entropy variation and the problem of the trend to equilibrium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 289-292.
    2. Lucia, Umberto, 2009. "Irreversibility, entropy and incomplete information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4025-4033.
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    Cited by:

    1. Lucia, Umberto, 2014. "Thermodynamic approach to nano-properties of cell membrane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 185-191.
    2. Lucia, Umberto, 2013. "Thermodynamic paths and stochastic order in open systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 3912-3919.
    3. 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.
    4. Maino, Giuseppe & Lucia, Umberto, 2019. "A thermodynamic approach to the microclimate environment of museums," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 66-72.
    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. "Thermodynamics and cancer stationary states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3648-3653.
    7. Lucia, Umberto, 2014. "Transport processes in biological systems: Tumoral cells and human brain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 327-336.
    8. Açıkkalp, Emin & Caner, Necmettin, 2015. "Determining performance of an irreversible nano scale dual cycle operating with Maxwell–Boltzmann gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 342-349.
    9. 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.
    10. Lucia, Umberto, 2013. "Entropy and exergy in irreversible renewable energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 20(C), pages 559-564.
    11. Lucia, Umberto, 2014. "Entropy generation: Minimum inside and maximum outside," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 396(C), pages 61-65.
    12. Umberto Lucia & Giulia Grisolia, 2018. "Cyanobacteria and Microalgae : Thermoeconomic Considerations in Biofuel Production," Energies, MDPI, vol. 11(1), pages 1-16, January.
    13. Lucia, Umberto, 2014. "Entropy generation and the Fokker–Planck equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 256-260.
    14. Lucia, Umberto, 2014. "Overview on fuel cells," Renewable and Sustainable Energy Reviews, Elsevier, vol. 30(C), pages 164-169.
    15. 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.
    16. 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.
    17. Wu, Y.P. & Hu, Y.Y. & Cao, H.X. & Fu, C.F. & Feng, G.L., 2018. "Computing entropy change in synoptic-scale system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 163-168.
    18. Chatterjee, Atanu & Ban, Takahiko & Iannacchione, Germano, 2022. "Evidence of local equilibrium in a non-turbulent Rayleigh–Bénard convection at steady-state," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    19. 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.
    20. Lucia, Umberto, 2014. "Entropy generation approach to cell systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 1-11.
    21. 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.
    22. Mook, W.T. & Aroua, M.K. & Issabayeva, G., 2014. "Prospective applications of renewable energy based electrochemical systems in wastewater treatment: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 38(C), pages 36-46.
    23. Lucia, Umberto, 2013. "Exergy flows as bases of constructal law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6284-6287.
    24. Lucia, Umberto & Simonetti, Marco & Chiesa, Giacomo & Grisolia, Giulia, 2017. "Ground-source pump system for heating and cooling: Review and thermodynamic approach," Renewable and Sustainable Energy Reviews, Elsevier, vol. 70(C), pages 867-874.

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