Stability and fluctuations of a spatially periodic convective flow
Open Access
- 1 January 1979
- journal article
- Published by EDP Sciences in Journal de Physique Lettres
- Vol. 40 (23) , 609-612
- https://doi.org/10.1051/jphyslet:019790040023060900
Abstract
Using a model equation we analyze the onset of convection for a roll instability. The wavelength increase follows from a variational approach. For certain wavelengths, phase diffusion turns out to be unstable against compression (or dilatation) and torsion of the rolls. Thermal phase fluctuations induce a tiny brownian motion of the structure which should be observable in carefully designed experiments such as Rayleigh-Bénard in liquid helium or Carr-Helfrich in nematic liquid crystalsKeywords
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