Hydrodynamic transitions to chaos in the convection of an anisotropic fluid

Hydrodynamic transitions to chaos in the convection of an anisotropic fluid
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各向异性流体对流中的流体动力学转变为混沌

DOI:
10.1051/jphys:01986004704059500
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发表时间:
1986
期刊:
Journal De Physique
影响因子:
--
通讯作者:
R. Ribotta
R. Ribotta
中科院分区:
--
文献类型:
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作者:
A. Joets;R. Ribotta

文献摘要

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我们提出了第一个自发的流体动力学不稳定性序列,这是由于对流流动在各向异性流体中从静止状态向混沌状态的演变:一个受交流电场作用的向列液晶。随着控制参数的增大,结构的对称性逐渐减小。流线的研究允许解释整个序列的对流流动的演变,直到混沌的开始。我们表明,流动演化的第一个重要步骤是第二种旋转模式的建立,这种模式与涡旋线的挤压不稳定性有关。然后提出了一个简单的图像,以描述可能的混沌路径的基本步骤,并可以推广到其他对流系统。在现有的一组不稳定的流体动力学和不稳定的对流中,观测者认为,不稳定的流体动力学和不稳定的流体动力学是不稳定的
We present the first spontaneous sequence of hydrodynamic instabilities due to the evolution of the convective flow from the rest state toward chaos in an anisotropic fluid: a nematic liquid crystal subjected to an AC electric field. The resulting structures are of decreasing symmetry as the control parameter is gradually increased. The study of the streamlines allows the interpretation of the entire sequence by the evolution of the convective flow up to the onset of chaos. We show that the first important step in the flow evolution is the build up of a second mode of rotation which is associated with a pinching instability of the vortex lines. A simple picture is then proposed in order to describe the essential steps of a possible route to chaos, and which could be extended to other convective systems On presente une suite ordonnee d'instabilites hydrodynamiques d'un ecoulement convectif, observees depuis l'etat de repos jusqu'au chaos dans un cristal liquide soumis a un champ electrique