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Statistical approach of the irreversible entropy variation

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  • Lucia, Umberto

Abstract

The constructal theory is based on the thought that flow architecture is a consequence of a principle of maximization of flow access, in time, and in flow configuration that is free to be realised. The principle of maxima for the variation of the entropy due to irreversibility represents a general principle of investigation for the stability of open systems, by which it is possible to predict some macroscopic shapes, originated by the spatial organisation, in Nature, both in living and in non-living objects. Its statistical meaning has recently been introduced. Here a statistical and dynamical interpretation for the entropy due to irreversibility is proposed as a foundation of the constructal theory.

Suggested Citation

  • Lucia, Umberto, 2008. "Statistical approach of the irreversible entropy variation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3454-3460.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:14:p:3454-3460
    DOI: 10.1016/j.physa.2008.02.002
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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. García-Morales, Vladimir & Pellicer, Julio, 2006. "Microcanonical foundation of nonextensivity and generalized thermostatistics based on the fractality of the phase space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 161-172.
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    Citations

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    Cited by:

    1. 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.
    2. Umberto Lucia & Giulia Grisolia, 2022. "Thermodynamic Definition of Time: Considerations on the EPR Paradox," Mathematics, MDPI, vol. 10(15), pages 1-12, July.
    3. González-Solís, José Luis & Guizar-Ruiz, Juan Ignacio & Martínez-Espinosa, Juan Carlos & Martínez-Zerega, Brenda Esmeralda & Juárez-López, Héctor Alfonso & Vargas-Rodríguez, Héctor & Gallegos-Infante,, 2016. "Cancer detection based on Raman spectra super-paramagnetic clustering," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 455(C), pages 52-64.
    4. Lucia, Umberto, 2010. "Maximum entropy generation and κ-exponential model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4558-4563.
    5. Makhanlall, D. & Liu, L.H. & Zhang, H.C., 2010. "SLA (Second-law analysis) of transient radiative transfer processes," Energy, Elsevier, vol. 35(12), pages 5151-5160.
    6. 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.
    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. 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.
    9. Lucia, Umberto, 2014. "Entropy generation and the Fokker–Planck equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 256-260.
    10. 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.
    11. Lucia, Umberto, 2014. "Entropy generation approach to cell systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 1-11.
    12. 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.
    13. 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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