Abstract
There exists a broad experimental evidence of transient pattern formation in the Fréedericksz transition for nematics. This is a problem of interest in the general context of pattern selection mechanisms. We present a dynamical theoretical analysis of pattern structuration appropriate to the twist geometry. Our scheme is based on stochastic nematodynamics equations which incorporate fluctuations. By monitoring the time evolution of the wavenumber corresponding to the maximum of the structure factor we are able to predict the time of appearance and the stage of formation of the pattern. This dynamics is studied both in a linear and nonlinear regimes. Finally the case of a periodically modulated Fréedericksz transition is also presented.
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