Formation of grid patterns in an ac-driven electroconvection system

Physical Review. E
Jong-Hoon Huh, Haruki Osoguchi

Abstract

We report the formation mechanism of a unique pattern observed in ac-driven electroconvection of nematic liquid crystals (NLCs), in which many well-organized grid cells are very regularly aggregated in a two-dimensional plane, globally forming a nearly perfect grid pattern (GP). Intuitively, the formation of such a pattern is unpredictable; usually, the perfectly regular normal roll (NR) showing a preferred roll direction is observed in this system by imposing a fixed initial direction of an NLC. The GP was investigated by varying the ac voltage and frequency. To characterize the GP, the density ρ_{GP}, the width a and length b of the grids, and the oscillation period T_{GP} of an inner optical pattern of the grids were measured; moreover, the lengths L[over ¯]_{x} and L[over ¯]_{y} characterizing phase-jump lines (PJLs) in the GP were examined. By taking into account the process of evolution from a fluctuating NR with defects to the GP, the velocity and director fields of the GP are estimated. Furthermore, in comparison with the bimodal mechanism proposed in the earlier study, a possible mechanism for the GP formed by the PJLs is discussed; various routes to GPs depending on the ac frequency are proposed.

References

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Oct 9, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jong-Hoon HuhShoichi Kai
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Denis FunfschillingMichael Dennin
Apr 12, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S KomineasL Kramer
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Noriko OikawaShoichi Kai
Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Soichi TatsumiA G Rossberg
Jan 15, 2016·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexei KrekhovEduard Batyrshin

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