Nonlinear pattern and wave-number selection in convecting binary mixtures

Jay Fineberg; Elisha Moses; Victor Steinberg

doi:10.1103/PhysRevA.38.4939

Nonlinear pattern and wave-number selection in convecting binary mixtures

Jay Fineberg^*
, Elisha Moses
, Victor Steinberg

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

We investigate the transition from weakly nonlinear to nonlinear traveling-wave states. Pattern selection due to a transition from convective to absolute instability conditions is found, in good agreement with theory. While the linear properties depend on the (boundary-dependent) threshold of convection, the weakly nonlinear properties refer back to the threshold of an infinite system.

Original language	English
Pages (from-to)	4939-4942
Number of pages	4
Journal	Physical Review A
Volume	38
Issue number	9
DOIs	https://doi.org/10.1103/PhysRevA.38.4939
State	Published - 1988
Externally published	Yes

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AB - We investigate the transition from weakly nonlinear to nonlinear traveling-wave states. Pattern selection due to a transition from convective to absolute instability conditions is found, in good agreement with theory. While the linear properties depend on the (boundary-dependent) threshold of convection, the weakly nonlinear properties refer back to the threshold of an infinite system.

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Nonlinear pattern and wave-number selection in convecting binary mixtures

Abstract

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