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Small-Scale Excitations in Large Systems

  • P. Cessi
  • E. A. Spiegel
  • W. R. Young
Chapter
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Part of the NATO ASI Series book series (NSSB, volume 225)

Abstract

In the development of instability in extended systems, the prevalence of fluctuations is a disquieting reminder of our failure to understand completely the nonlinear aspects of instability theory. Experimental studies, such as those of Ahlers (1975) in thermal convection, show fluctuations that are plausibly interpreted in terms of the wandering of defects through the underlying patterns engendered by the instability. These defects are small-scale structures not easily accessible to the slowly varying wave theory that has been used in the study of unstable extended systems. However, they are not filtered out by the gauge field approach that Procaccia advocates in these proceedings. Perhaps they may relate to modes already known in the standard theory, as in Pocheau’s (1989) interpretation of the vertical vorticity modes of convection theory as a gauge field.

Keywords

Gauge Field Unstable Mode Stable Mode Vlasov Equation Instability Theory 
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References

  1. Ahlers, G. (1975) “The Rayleigh-Bénard instability at Helium temperatures”, in Fluctuations, Instabilities and Phase transitions, T. Riste ed., Nato ASI Series B: Physics, Vol 11, 181–194Google Scholar
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Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • P. Cessi
    • 1
  • E. A. Spiegel
    • 2
  • W. R. Young
    • 1
  1. 1.Scripps Institute of OceanographyLa JollaUSA
  2. 2.Department of AstronomyColumbia UniversityNew YorkUSA

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