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. 2018 Apr;97(4-1):042707. doi: 10.1103/PhysRevE.97.042707.
We investigate the alternating current (ac) -driven electroconvection (EC) in one-dimensional cells (1DCs) under the in-plane switching mode. In 1DCs, defect-free EC can be realized. In the presence and absence of external multiplicative noise, the features of traveling waves (TWs), such as their Hopf frequency f_{H} and velocity, are examined in comparison with those of conventional two-dimensional cells (2DCs) accompanying defects of EC rolls. In particular, we show that the defects significantly contribute to the features of the TWs. Additionally, owing to the defect-free EC in the 1DCs, the effects of the ac and noise fields on the TW are clarified. The ac field linearly increases f_{H}, independent of the ac frequency f. The noise increases f_{H} monotonically, but f_{H} does not vary below a characteristic noise intensity V_{N}^{*}. In addition, soliton-like waves and unfamiliar oscillation of EC vortices in 1DCs are observed, in contrast to the localized EC (called worms) and the oscillation of EC rolls in 2DCs.
我们研究了面内开关模式下一维单元（1DC）中交流（ac）驱动的电对流（EC）。在 1DC 中，可以实现无缺陷的 EC。在存在和不存在外部乘法噪声的情况下，我们比较了行波（TW）的特征，例如它们的 Hopf 频率 f_H 和速度，与伴随 EC 卷缺陷的传统二维单元（2DC）的 TW 特征进行了比较。特别地，我们表明缺陷对 TW 的特征有显著贡献。此外，由于 1DC 中的无缺陷 EC，可以清楚地了解 ac 和噪声场对 TW 的影响。ac 场线性增加 f_H，与 ac 频率 f 无关。噪声单调地增加 f_H，但在特征噪声强度 V_N^*以下，f_H 不会变化。此外，与 2DC 中的局部 EC（称为蠕虫）和 EC 卷的振荡相比，在 1DC 中观察到了类孤波和 EC 涡旋的不熟悉的振荡。
