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We have investigated the pattern formation of the Williams domain when a super-critical voltage is suddenly applied to a thin layer of a nematic liquid crystal. Analyzing about two-hundred paths of an order parameter which represents the degree of the ordering of the pattern, we have clarified the transient behavior of the most probable path and the fluctuation. It has been found that the evolution process of the Williams domain is well described by a scaling function and fluctuation enhancement takes place in a middle stage of the evolution.
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Tsuchiya et al. (1985) studied this question.
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