Pattern Formation in Liquid Crystals --Symmetry of Fields and Nonequilibrium Macroscopic Fluctuation--
液晶中的图案形成--场的对称性和非平衡宏观涨落--
基本信息
- 批准号:14340123
- 负责人:
- 金额:$ 10.69万
- 依托单位:
- 依托单位国家:日本
- 项目类别:Grant-in-Aid for Scientific Research (B)
- 财政年份:2002
- 资助国家:日本
- 起止时间:2002 至 2004
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
In the current study, we_prepare electroconvective cells of initially two different symmetries using the surface treatment of the container. One is called the homeotropic alignment and the other the planar one. Both show nonequilibrium macroscopic fluctuations (spatiotemporal chaos) beyond certain thresholds of applied voltages. Below we describe typical properties of pattern dynamics observed in both systems depending on the symmetries.In the homeotropic alignment the system has continuously rotational symmetry, due to this symmetry the soft-mode turbulence (SMT) is obtained at first, and shows the following facts.(1)There observe strong interactions between convective and orientational fields related to the symmetries. One is normal rolls, and the other is oblique rolls. The transition between them appears when the frequency of applied voltages is changed. It may be regarded as the transition something similar to order-disorder one.(2)The correlation length ξ satisfies the relation ξ … More ∝ ε^<-1/2>. Here ε is an applied voltage normalized by the threshold for SMT.(3)In the one dimensional homeotropic system, the threshold of the soft-mode turbulence is shifted to higher value than that in two dimensional systems. It may be due to a finite size effect.(4)According to the relation between the dynamics of the soft-mode turbulence and the dimensionality of the system obtained from the temporal correlation of the fluctuations, dynamics is independent of the dimensionality of system.In the planar alignment, the system has initially broken the continuously rotational symmetry. In this case the defect lattice pattern is observed resulting from frozen macroscopic fluctuations as a periodic defect alignment.(1)The defect lattice forms due to superposition of two modes by abnormal rolls instability and skewed-varicose one.(2)The lattice structure partially collapses in space beyond a some threshold. The collapse area increases with the applied voltage. This is a typical spatiotemporal chaos, especially called spatiotemporal intermittency (STI). By further increase of applied voltages, the whole area becomes turbulence.(3)The lattice structure is reproduced in the collapse area by superimposing the modulation in the applied voltage at the same frequency as the lattice spontaneous oscillation. Thus STI can be controlled by small periodic perturbations, that is, the chaos control can be realized in systems with large spatial degrees of freedom. Less
在目前的研究中,我们利用容器的表面处理制备了初始两种不同对称的电对流电池。一种称为各向同性排列,另一种称为平面排列。两者都表现出非平衡宏观波动(时空混沌)超过一定的施加电压阈值。下面我们将描述两种系统中根据对称性观察到的模式动力学的典型特性。在同向取向中,系统具有连续的旋转对称性,由于这种对称性,首先得到了软模湍流(SMT),并显示了以下事实。(1)观测到与对称性相关的对流场和定向场之间存在很强的相互作用。一种是正卷,另一种是斜卷。当施加电压的频率改变时,它们之间的过渡就出现了。它可以被看作是一种类似于有序-无序的过渡。(2)相关长度ξ满足关系ξ…More∝ε^<-1/2>。这里ε是由SMT阈值归一化的外加电压。(3)在一维同向异性系统中,软模湍流的阈值比二维系统中更高。这可能是由于有限尺寸效应。(4)根据波动时间相关性得出的软模湍流动力学与系统维数的关系,动力学与系统维数无关。在平面对中,系统初步打破了连续旋转对称。在这种情况下,观察到缺陷晶格图案是由冻结的宏观波动作为周期性缺陷排列引起的。(1)缺陷晶格的形成是由于两种模态的叠加,即异常辊失稳和斜张失稳。(2)晶格结构在空间上超过某个阈值部分坍塌。塌陷面积随外加电压的增大而增大。这是一种典型的时空混沌,特别称为时空间断性。通过进一步增加施加的电压,整个区域变成湍流。(3)通过叠加与晶格自发振荡频率相同的外加电压调制,在坍缩区再现晶格结构。因此,可以用小的周期扰动来控制STI,即可以在具有大空间自由度的系统中实现混沌控制。少
项目成果
期刊论文数量(52)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Stochastic Synchronization in Two-dimensional Coupled Lattice Oscillators in the Belousov-Zhabotinsky Reaction
Belousov-Zhabotinsky 反应中二维耦合晶格振荡器的随机同步
- DOI:
- 发表时间:2003
- 期刊:
- 影响因子:0
- 作者:H.Fukuda;S.Kai;et al.
- 通讯作者:et al.
Swelling Dynamics of Liquid Crystal Elastomers Swollen with Low Molecular Weight Liquid Crystals
低分子量液晶溶胀液晶弹性体的溶胀动力学
- DOI:
- 发表时间:2004
- 期刊:
- 影响因子:0
- 作者:Y.Yusuf;S.Kai;et al.
- 通讯作者:et al.
New Characteristics of Electrohydrodynamic Instability in a Nematic Liquid Crystal Doped with a Cholesteric One
- DOI:10.1143/jpsj.73.2975
- 发表时间:2004-11
- 期刊:
- 影响因子:1.7
- 作者:Jong-Hoon Huh;Yoichi Akasako;S. Kai
- 通讯作者:Jong-Hoon Huh;Yoichi Akasako;S. Kai
ソフトモード乱流における粒子拡散のlocalな挙動とglobalな挙動について-Anomalous拡散からNormal拡散へ-
软模态湍流中粒子扩散的局部行为和全局行为 - 从反常扩散到正态扩散 -
- DOI:
- 发表时间:2003
- 期刊:
- 影响因子:0
- 作者:田村公洋;日高芳樹;甲斐昌一
- 通讯作者:甲斐昌一
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KAI Shoichi其他文献
KAI Shoichi的其他文献
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{{ truncateString('KAI Shoichi', 18)}}的其他基金
Elucidation for Pattern Formation in Liquid Crystals -Nonequilibrium Fluctuation Theorem and Spatiotemporal Chaos-
液晶图案形成的阐明-非平衡涨落定理与时空混沌-
- 批准号:
21340110 - 财政年份:2009
- 资助金额:
$ 10.69万 - 项目类别:
Grant-in-Aid for Scientific Research (B)
Elucidation of Pattern Formation in Liquid Crystals-Soft-Mode Turbulence and Generalized Fluctuation Theorem-
液晶中图案形成的阐明-软模式湍流和广义涨落定理-
- 批准号:
17340119 - 财政年份:2005
- 资助金额:
$ 10.69万 - 项目类别:
Grant-in-Aid for Scientific Research (B)
Pattern Formation in Nonequilibrium Dissipative Systems-Dynamics of Dissipative Structures in Liquid Crystals
非平衡耗散系统中的图案形成-液晶耗散结构动力学
- 批准号:
10440117 - 财政年份:1998
- 资助金额:
$ 10.69万 - 项目类别:
Grant-in-Aid for Scientific Research (B).
Development of Scanning Tunneling Microscope Operated under High Pressure Environments
高压环境下扫描隧道显微镜的研制
- 批准号:
09555101 - 财政年份:1997
- 资助金额:
$ 10.69万 - 项目类别:
Grant-in-Aid for Scientific Research (B)
PATTERN FORMATION AND SYMMETRY OF FIELDS IN ELECTROHYDRODYNAMICSS IN LIQUID CRYSTALS
液晶电化学场的图案形成和对称性
- 批准号:
08454107 - 财政年份:1996
- 资助金额:
$ 10.69万 - 项目类别:
Grant-in-Aid for Scientific Research (B)
Pattern Formation and Turbulence in Electrohydrodynamic Instability
电流体动力学不稳定性中的图案形成和湍流
- 批准号:
02452047 - 财政年份:1990
- 资助金额:
$ 10.69万 - 项目类别:
Grant-in-Aid for General Scientific Research (B)
Pattern formation its multiplicative stochastic processes
模式形成及其乘法随机过程
- 批准号:
62460037 - 财政年份:1987
- 资助金额:
$ 10.69万 - 项目类别:
Grant-in-Aid for General Scientific Research (B)
相似海外基金
Elucidation of Pattern Formation in Liquid Crystals-Soft-Mode Turbulence and Generalized Fluctuation Theorem-
液晶中图案形成的阐明-软模式湍流和广义涨落定理-
- 批准号:
17340119 - 财政年份:2005
- 资助金额:
$ 10.69万 - 项目类别:
Grant-in-Aid for Scientific Research (B)