Annular Electroconvection With Shear

Annular Electroconvection With Shear

Physical Review Letters, 80, 964 (1998).

Zahir A. Daya, V. B. Deyirmenjian, Stephen W. Morris

Department of Physics and Erindale College, University of Toronto, 60 St. George St., Toronto, Ontario, Canada M5S 1A7.

John R. de Bruyn

Department of Physics and Physical Oceanography, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1B 3X7

We report experiments on convection driven by a radial electrical force in suspended annular smectic A liquid crystal films. In the absence of an externally imposed azimuthal shear, a stationary one-dimensional (1D) pattern consisting of symmetric vortex pairs is formed via a supercritical transition at the onset of convection. Shearing reduces the symmetries of the base state and produces a traveling 1D pattern whose basic periodic unit is a pair of asymmetric vortices. For a sufficiently large shear, the primary bifurcation changes from supercritical to subcritical. We describe measurements of the resulting hysteresis as a function of the shear at radius ratio eta ~ 0.8. This simple pattern forming system has an unusual combination of symmetries and control parameters and should be amenable to quantitative theoretical analysis.

PACS numbers: 47.20.Ky,47.54.+r

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