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External noise and the origin and dynamics of structure in convectively unstable systems

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Abstract

Some basic concepts and earlier work on external noise and the convectively unstable Ginzburg-Landau equation are reviewed, and some of the ideas presented in the earlier work are investigated further and extended. In particular, further consideration is given to convective chaos-chaos which only occurs in a moving frame of reference; and slugs-localized structures which are surrounded by a stable stationary state. Some new results on secondary convective instabilities and on periodic systems with a spatially varying instability are discussed. Work on the coupled Ginzburg-Landau equation is reviewed. Actual physical systems are discussed.

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Deissler, R.J. External noise and the origin and dynamics of structure in convectively unstable systems. J Stat Phys 54, 1459–1488 (1989). https://doi.org/10.1007/BF01044729

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  • DOI: https://doi.org/10.1007/BF01044729

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