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New Instabilities in Two-dimensional Rotating Convection and Magnetoconvection by S.M. Cox; P.C. Matthews is a Physics and Astronomy article available to read on EtoBox.

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We describe a new instability of rolls in three related convection problems. The instability results in a large-scale modulation of the amplitude of the convection (in contrast to a phase instability such as that of Eckhaus) and may be supercritical, with strongly amplitude-modulated rolls predicted at onset. Essential to the instability is the presence of a conserved quantity (whose existence is contingent upon an appropriate choice of boundary conditions), which gives rise to a corresponding slowly evolving large-scale mode. In rotating convection between stress-free boundaries, the conserved quantity is the velocity component along the axes of the rolls; in magnetoconvection it is the magnetic flux through the layer. In rotating magnetoconvection both quantities may be conserved. In each case the appropriate amplitude equations to describe convection near onset consist of a modulation equation of Ginzburg-Landau type for the amplitude of the rolls, coupled to a large-scale modulation equation for each conserved quantity. The large-scale mode(s), although damped according to linear theory, can destabilise the rolls at onset. It is found that rolls are unstable for sufficiently sm

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Author

S.M. Cox; P.C. Matthews

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0167-2789)

Published

2001

Language

EN

Field

Physics and Astronomy (Physical Sciences)