IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v547y2020ics0378437119321466.html
   My bibliography  Save this article

Spatio-temporal characterization of thermal fluctuations in a non-turbulent Rayleigh–Bénard convection at steady state

Author

Listed:
  • Yadati, Yash
  • Mears, Nicholas
  • Chatterjee, Atanu

Abstract

In this paper we present a detailed description of the statistical and computational techniques that were employed to study a driven far-from-equilibrium steady-state Rayleigh–Bénard system in the non-turbulent regime (Ra≤3500). In our previous work on the Rayleigh–Bénard convection system we try to answer two key open problems that are of great interest in contemporary physics: (i) how does an out-of-equilibrium steady-state differ from an equilibrium state and (ii) how do we explain the spontaneous emergence of stable structures and simultaneously interpret the physical notion of temperature when out-of-equilibrium. We believe that this paper will offer a useful repository of the technical details for a first principles study of similar kind. In addition, we are also hopeful that our work will spur considerable interest in the community which will lead to the development of more sophisticated and novel techniques to study far-from-equilibrium behavior.

Suggested Citation

  • Yadati, Yash & Mears, Nicholas & Chatterjee, Atanu, 2020. "Spatio-temporal characterization of thermal fluctuations in a non-turbulent Rayleigh–Bénard convection at steady state," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    • Handle: RePEc:eee:phsmap:v:547:y:2020:i:c:s0378437119321466
    DOI: 10.1016/j.physa.2019.123867
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119321466
    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.2019.123867?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. 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. Lucia, Umberto & Grisolia, Giulia & Ponzetto, Antonio & Deisboeck, Thomas S., 2018. "Thermodynamic considerations on the role of heat and mass transfer in biochemical causes of carcinogenesis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1164-1170.
    3. J. J. Niemela & L. Skrbek & K. R. Sreenivasan & R. J. Donnelly, 2000. "Turbulent convection at very high Rayleigh numbers," Nature, Nature, vol. 404(6780), pages 837-840, April.
    Full references (including those not matched with items on IDEAS)

    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. Bejan, Adrian, 2018. "Thermodynamics today," Energy, Elsevier, vol. 160(C), pages 1208-1219.
    2. Carlo Bianca & Marco Menale, 2019. "A Convergence Theorem for the Nonequilibrium States in the Discrete Thermostatted Kinetic Theory," Mathematics, MDPI, vol. 7(8), pages 1-13, July.
    3. Nie, Wenjie & Lü, Ke & Chen, Aixi & He, Jizhou & Lan, Yueheng, 2018. "Performance optimization of single and two-stage micro/nano-scaled heat pumps with internal and external irreversibilities," Applied Energy, Elsevier, vol. 232(C), pages 695-703.
    4. Lucia, Umberto, 2016. "Electromagnetic waves and living cells: A kinetic thermodynamic approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 577-585.
    5. Lucia, Umberto, 2015. "Quanta and entropy generation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 115-121.
    6. Lucia, Umberto & Grisolia, Giulia & Francia, Sabrina & Astori, Mariarosa, 2019. "Theoretical biophysical approach to cross-linking effects on eyes pressure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    7. Lucia, Umberto & Ponzetto, Antonio & Deisboeck, Thomas S., 2015. "A thermodynamic approach to the ‘mitosis/apoptosis’ ratio in cancer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 246-255.
    8. 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.
    9. Lucia, Umberto, 2013. "Carnot efficiency: Why?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3513-3517.
    10. 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.
    11. 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.
    12. Shamshirgaran, Seyed Reza & Khalaji Assadi, Morteza & Badescu, Viorel & Al-Kayiem, Hussain H., 2018. "Upper limits for the work extraction by nanofluid-filled selective flat-plate solar collectors," Energy, Elsevier, vol. 160(C), pages 875-885.
    13. 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.
    14. Umberto Lucia & Giulia Grisolia, 2018. "Cyanobacteria and Microalgae : Thermoeconomic Considerations in Biofuel Production," Energies, MDPI, vol. 11(1), pages 1-16, January.
    15. Lucia, Umberto, 2014. "Entropy generation and the Fokker–Planck equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 256-260.
    16. 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.
    17. 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.
    18. Quijano, Juan C. & Lin, Henry, 2015. "Is spatially integrated entropy production useful to predict the dynamics of ecosystems?," Ecological Modelling, Elsevier, vol. 313(C), pages 341-354.
    19. Lucia, Umberto, 2014. "Entropy generation: Minimum inside and maximum outside," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 396(C), pages 61-65.
    20. Lucia, Umberto, 2016. "Second law considerations on the third law: From Boltzmann and Loschmidt paradox to non equilibrium temperature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 121-128.

    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:547:y:2020:i:c:s0378437119321466. 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.