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通过破坏反演对称性微扰来控制反向行波和驻波之间的稳定性转移。

Controlling the stability transfer between oppositely traveling waves and standing waves by inversion-symmetry-breaking perturbations.

作者信息

Pinter A, Lücke M, Hoffmann Ch

机构信息

Institut für Theoretische Physik, Universität des Saarlandes, Postfach 151150, D-66041 Saarbrücken, Germany.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Jul;76(1 Pt 2):015301. doi: 10.1103/PhysRevE.76.015301. Epub 2007 Jul 6.

DOI:10.1103/PhysRevE.76.015301
PMID:17677526
Abstract

The effect of an externally applied flow on symmetry degenerated waves propagating into opposite directions and standing waves that exchange stability with the traveling waves via mixed states is analyzed. Wave structures that consist of spiral vortices in the counter rotating Taylor-Couette system are investigated by full numerical simulations and explained quantitatively by amplitude equations containing quintic coupling terms. The latter are appropriate to describe the influence of inversion-symmetry-breaking perturbations on many oscillatory instabilities with O(2) symmetry.

摘要

分析了外部施加的流对沿相反方向传播的对称性退化波以及通过混合态与行波交换稳定性的驻波的影响。通过全数值模拟研究了反向旋转泰勒-库埃特系统中由螺旋涡旋组成的波结构，并通过包含五次耦合项的振幅方程进行了定量解释。后者适用于描述具有O(2)对称性的许多振荡不稳定性中破缺反演对称性微扰的影响。

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