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

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  • 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
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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. 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.
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