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Stability and fluctuations of a spatially periodic convective flow
Open accessAbstract
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 crystals.
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Citations
Cited by
Pattern formation outside of equilibrium
Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
Recent Developments in Rayleigh-Bénard Convection
Bodenschatz, E., Pesch, W., & Ahlers, G. (2000) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fluid.32.1.709 · Cited by 1,014
Front motion, metastability and subcritical bifurcations in hydrodynamics
Pomeau, Y. (1986) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(86)90104-1 · Cited by 709
Self-citationIntroduction to bifurcation theory
Crawford, J. D. (1991) · Reviews of Modern Physics · doi:10.1103/revmodphys.63.991 · Cited by 419
Metadata
- Authors
- Pomeau, Y., & Manneville, P.
- Venue
- Journal de Physique Lettres
- Publisher
- EDP Sciences
- Published
- 1979
- Volume
- 40
- Issue
- 23
- Pages
- 609-612
- ISSN
- 0302-072X (ISSN-L)
- OpenAlex
- W2095528560
- Cited by
- 302
- References
- 0
- FWCI
- 9.66
- Type
- journal article
- Language
- en
- Open access
- green
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- Pomeau, Y., & Manneville, P. (1979). Stability and fluctuations of a spatially periodic convective flow. Journal de Physique Lettres. https://doi.org/10.1051/jphyslet%3A019790040023060900
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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