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Critical fluctuation of wind reversals in convective turbulence

Rudolph C. Hwa, C. B. Yang, S. Bershadskii, J. J. Niemela, and K. R. Sreenivasan
Phys. Rev. E 72, 066308 – Published 20 December 2005
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  • INTRODUCTION
  • EXPERIMENTAL FEATURES
  • CRITICAL BEHAVIOR
  • POWER-LAW BEHAVIOR
  • CONCLUSIONS
  • ACKNOWLEDGEMENTS
    • References

    Abstract

    The irregular reversals of wind direction in convective turbulence are found to have fluctuating intervals that can be related, under certain circumstances, to critical behavior. In particular, by focusing on its temporal evolution, the net magnetization of a two-dimensional Ising lattice of finite size is observed to fluctuate in the same way. Detrended fluctuation analysis of the wind reversal time series results in a scaling behavior that agrees remarkably well with that of the Ising problem. The specific properties found here, as well as the lack of an external tuning parameter, also suggest that the wind reversal phenomenon exhibits signs of self-organized criticality.

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    • Received 21 October 2005

    DOI:https://doi.org/10.1103/PhysRevE.72.066308

    ©2005 American Physical Society

    Authors & Affiliations

    Rudolph C. Hwa1, C. B. Yang2, S. Bershadskii3, J. J. Niemela3, and K. R. Sreenivasan3

    • 1Institute of Theoretical Science and Department of Physics, University of Oregon, Eugene, Oregon 97403-5203, USA
    • 2Institute of Particle Physics, Hua-Zhong Normal University, Wuhan 430079, People’s Republic of China
    • 3International Center for Theoretical Physics, Strada Costiera 11, I-34100 Trieste, Italy

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    Issue

    Vol. 72, Iss. 6 — December 2005

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    Images

    • Figure 1
      Figure 1
      A segment of the data on wind velocity fluctuation at Ra=1.5×1011. The data were obtained from a cylindrical container of 50cm diameter and 50cm height, filled with cryogenic helium gas. Measurements were taken outside the boundary layer on the sidewall of the container at mid-height.Reuse & Permissions
    • Figure 2
      Figure 2
      Moments in the gap analysis of wind reversal (filled circles) and magnetization reversal in Ising lattice (open symbols) for different temperatures. The open circles are lowered by a factor of 2 to give space for clarity. The solid line is a linear fit of filled circles, and the dashed line is a linear fit of open circles.Reuse & Permissions
    • Figure 3
      Figure 3
      Scaling behaviors of F(k) in DFA of wind reversal (filled symbols) and magnetization reversal in Ising lattice at the critical temperature (open circles). Lines are linear fits.Reuse & Permissions
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