Abstract
The properties of the transition between two patterns with different symmetries are studied in an experiment on thermal convection in a fluid layer heated from below. The defect structure is also analyzed and it is found that the unstable phase is present in the defect cores. The experimental results are in agreement with a model of three coupled Ginzburg-Landau equations.
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S. Chandrasekar,Hydrodynamic and Hydromagnetic Stability (Clarendon Press, Oxford, 1961); F. H. Busse,Rep. Prog. Phys. 41:1929 (1978); Ch. Normand, Y. Pomeau, and M. Velarde,Rev. Mod. Phys. 49:581 (1977).
S. Ciliberto, E. Pampaloni, and C. Perez-Garcia,Phys. Rev. Lett. (1988); E. Pampaloni, C. Perez-Garcia, L. Albavetti, and S. Ciliberto,J. Fluid Mech., to be published.
W. Merzkirch,Flow Visualisation (Academic Press, New York, 1974).
S. Ciliberto, F. Francini, and F. Simonelli,Opt. Commun. 54:381 (1985).
F. H. Busse,J. Fluid Mech. 30:625 (1967); C. Perez-Garcia, E. Pampaloni, and S. Ciliberto,Europhys. Lett. 12:51 (1990).
L. A. Segel,J. Fluid Mech. 21:359 (1965).
R. P. Behringer and G. Ahlers,J. Fluid Mech. 125:219 (1982); M. Dubois, P. Bergé, and J. E. Wesfreid,J. Phys. 39:1253 (1978).
G. Ahlers, M. C. Cross, P. C. Hohenberg, and S. Safran,J. Fluid Mech. 110:297 (1981).
M. C. Cross,Phys. Fluids 23:1727 (1980).
A. V. Oppenheim and R. W. Schafer,Digital Signal Processing (Prentice-Hall, 1975); L. R. Rabiner and B. Gold,Theory and Applications of Digital Signal Processing (Prentice Hall 1974).
S. Ciliberto, P. Coullet, J. Lega, E. Pampaloni, and C. Carlos Perez Garcia,Phys. Rev. Lett. 65:2370 (1990).
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Ciliberto, S., Pampaloni, E. & Perez-Garcia, C. The role of defects in the transition between different symmetries in convective patterns. J Stat Phys 64, 1045–1058 (1991). https://doi.org/10.1007/BF01048813
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DOI: https://doi.org/10.1007/BF01048813