Huh Jong-Hoon
Department of Mechanical Information Science and Technology, Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology, Fukuoka 820-8502, Japan.
Phys Rev E. 2017 Apr;95(4-1):042704. doi: 10.1103/PhysRevE.95.042704. Epub 2017 Apr 21.
In the presence of external multiplicative noise, ac-driven electroconvection (EC) in a nematic liquid crystal is investigated. Noise-induced traveling waves (TWs) including localized ones (worms) are found with a typical, stationary wave. Three kinds of TWs are classified by their dynamic features (e.g., noise-intensity-dependent Hopf frequency and space-time map). Moreover, ac frequency-dependent threshold voltages of EC are examined in high noise intensities causing abnormal charge redistribution of the EC cell, and the roles of ac and noise fields with respect to TWs are elucidated in successive pattern evolutions. The mechanism of TWs is discussed in terms of a locally perturbed dynamic conductivity due to the noise field additionally applied to the EC; such a conductivity can be related to a weak-electrolyte model for a Hopf bifurcation to a TW.
在存在外部乘性噪声的情况下，研究了向列型液晶中的交流驱动电对流（EC）。发现噪声诱导的行波（TWs），包括局部化的行波（蠕虫波）以及典型的驻波。根据其动态特征（例如，与噪声强度相关的霍普夫频率和时空图）对三种行波进行了分类。此外，在导致EC单元电荷重新分布异常的高噪声强度下，研究了EC的交流频率相关阈值电压，并在连续的图案演化中阐明了交流场和噪声场对行波的作用。从由于额外施加到EC的噪声场引起的局部扰动动态电导率的角度讨论了行波的机制；这种电导率可以与用于霍普夫分岔到行波的弱电解质模型相关联。
