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Localized bifurcations and defect instabilities in the convection of a nematic liquid crystal

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Abstract

The stationary and the time-dependent homogeneous ordered states in convection may both become unstable against localized perturbations. Defects are then created and they may contribute to the disorganization of the homogeneous state. We present an experimental study of defects in some homogeneous stationary structures as well as in the traveling-wave states of convection of a nematic liquid crystal. We show that the core of the defects is a germ of the unstable state and it can become unstable under the external stress. Then, either fully homogeneous states with the symmetry of the core, or complex disordered states can develop from the local instability of defects in processes quite similar to displacive transitions in solids. Some of the main features are qualitatively similar to numerical simulations of an appropriate Landau-Ginzburg equation.

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Joets, A., Ribotta, R. Localized bifurcations and defect instabilities in the convection of a nematic liquid crystal. J Stat Phys 64, 981–1005 (1991). https://doi.org/10.1007/BF01048809

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