IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v603y2022ics0378437122005106.html
   My bibliography  Save this article

Statistical thermodynamics approach for the available work transported by particle fluxes

Author

Listed:
  • Badescu, Viorel

Abstract

The theory covers cases when the exergy concept is not fully relevant. An indicator called work content factor is used to quantify the proportion of available work in a given amount of energy. General expressions have been obtained for the flux of available work transported by particles, the rate of work deficiency and the work content factor. More specific results have been obtained for the work content factor of the low-speed and ultra-relativistic particle fluxes, respectively, by using several assumptions concerning the number of energy states, the mean occupation number of the energy states, the entropy and the module and direction of the particles speed. The theory includes extraction of work from particle fluxes governed by classical kinetic theory and heat as particular cases and has been applied to fluxes of fermions (electrons) and bosons (Helium-4) in both the low-speed and ultra-relativistic case. It has been shown that the emission of thermal photons is several orders of magnitude lower than the stimulated particle emission by the primary work extractor. As a result, a unique expression of the work content factor of the ultra-relativistic particle fluxes has been obtained for both fermions and bosons while another expression has been derived for low-speed fermions and bosons. Generally, the work content factor decreases by increasing the temperature Tc of the primary work extractor. In some cases, at large values of Tc and small values of the average directional factor of the source of particle, work cannot be extracted from the energy of the particle flux.

Suggested Citation

  • Badescu, Viorel, 2022. "Statistical thermodynamics approach for the available work transported by particle fluxes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    • Handle: RePEc:eee:phsmap:v:603:y:2022:i:c:s0378437122005106
    DOI: 10.1016/j.physa.2022.127769
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437122005106
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2022.127769?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Badescu, Viorel, 2008. "Exergy transported by particle fluxes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 1818-1826.
    2. Byung Chan Eu, & Mao, Kefei, 1992. "Note on the kinetic theory approach to irreversible thermodynamics of radiation and matter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 184(1), pages 187-191.
    3. Eu, Byung Chan & Mao, Kefei, 1992. "Kinetic theory approach to irreversible thermodynamics of radiation and matter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 180(1), pages 65-114.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mortadi, M. & El Fadar, A. & Achkari Begdouri, O., 2024. "4E analysis of photovoltaic thermal collector-based tri-generation system with adsorption cooling: Annual simulation under Moroccan climate conditions," Renewable Energy, Elsevier, vol. 221(C).
    2. Hu, Yue & Wang, Hongchao & Xiong, Yuchen & Yao, Yucheng & Lv, Hui & Xue, Xiaojun & Xu, Cheng, 2024. "Performance investigation on an agricultural photovoltaic thermal system based on spectral separation," Renewable Energy, Elsevier, vol. 221(C).
    3. Badescu, Viorel, 2024. "Upper bound efficiencies for work generation from the energy of confined systems of quantum particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    4. Qi, Congzheng & Chen, Lingen & Ge, Yanlin & Feng, Huijun, 2023. "Three-heat-reservoir thermal Brownian heat transformer and its performance limits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bove, A & DeMartino, S & Lauro, G, 2000. "Trend to equilibrium in the dynamics of a gas interacting with a radiation field," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 54(1), pages 113-129.
    2. Jou, D. & Casas-Vázquez, J. & Criado-Sancho, M., 1999. "Information theory and thermodynamics of polymer solutions under flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 262(1), pages 69-75.
    3. Badescu, Viorel, 2024. "Upper bound efficiencies for work generation from the energy of confined systems of quantum particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    4. Márkus, Ferenc & Gambár, Katalin & Vázquez, Federico & del Rı́o, J.Antonio, 1999. "Classical field theory and stochastic properties of hyperbolic equations of dissipative processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 268(3), pages 482-498.
    5. Fort, J., 1997. "Information-theoretical approach to radiative transfer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 243(3), pages 275-303.
    6. Brenner, Howard, 2005. "Kinematics of volume transport," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(1), pages 11-59.
    7. Wijewardane, S. & Goswami, Yogi, 2012. "Exergy of partially coherent thermal radiation," Energy, Elsevier, vol. 42(1), pages 497-502.
    8. Hamid Niazmand & Alireza Mohammadzadeh & Ehsan Roohi, 2013. "Predicting Continuum Breakdown Of Rarefied Micro/Nano Flows Using Entropy And Entropy Generation Analysis," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(05), pages 1-24.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:603:y:2022:i:c:s0378437122005106. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.