Title

Elimination of hysteresis in a system of coupled Ginzburg-Landau equations

Document Type

Article

Publication Date

January 1989

Abstract

We numerically study the effect of a stabilizing quintic term and a destabilizing cubic term in the coupled Ginzburg-Landau equations that describe the onset of traveling-wave convection in binary fluid mixtures. We present bifurcation diagrams which show that for large enough group velocity and coupling between the counter-propagating traveling waves, the expected hysteresis at onset is not present. We also show how a measure of the convected heat transport and its period vary with scaled Rayleigh number. While this model can explain certain features of recent experiments, a number of difficult issues remain.

Journal

Physical Review A

Volume

40

Issue

11

First Page

6748

Last Page

6751

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