New scenario for transition to turbulence?
New scenario for transition to turbulence?
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向动荡过渡的新情景？
DOI：
10.1103/physrevlett.76.1631
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发表时间：
1996
影响因子：
8.6
通讯作者：
Tsuboi
中科院分区：
文献类型：
--
作者：
Tribelsky;Tsuboi
本文提出了一维非线性偏微分方程的数值研究，该方程等价于[工程科学的最新进展（Springer-Verlag, Berlin, 1989）]，用于描述纵向地震波。该方程具有短波不稳定性和对称性的阈值，提供了慢长波动力学。结果表明，短波不稳定性的阈值对应于从空间均匀状态到混沌状态的“连续”（二阶）过渡点。因此，与常规情况相反，湍流是由一个且唯一一个超临界分岔引起的空间均匀状态。
Numerical study of the one-dimensional nonlinear partial differential equation, equivalent to that proposed [Recent Advances in Engineering Science (Springer-Verlag, Berlin, 1989)] to describe longitudinal seismic waves, is presented. The equation has a threshold of short-wave instability and symmetry, providing slow long-wave dynamics. It is shown that the threshold of the short-wave instability corresponds to a point of “continuous” (second order) transition from a spatially uniform state to a chaotic regime. Thus, contrary to the conventional scenarios, turbulence arises from the spatially uniform state as a result of one and the only one supercritical bifurcation.