Spontaneous Breaking of the Spatial Homogeneity Symmetry in Wave Turbulence

被引：19
作者：
Newell, Alan C. [1 ]
Rumpf, Benno [2 ]
Zakharov, Vladimir E. [1 ]
机构：
[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA
[2] So Methodist Univ, Dept Math, Dallas, TX 75275 USA
来源：
PHYSICAL REVIEW LETTERS | 2012年 / 108卷 / 19期
关键词：
INTERMITTENCY; BREAKDOWN; SPECTRUM;
D O I：
10.1103/PhysRevLett.108.194502
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We report a surprising new result for wave turbulence which may have broader ramifications for general turbulence theories. Spatial homogeneity, the symmetry property that all statistical moments are functions only of the relative geometry of any configuration of points, can be spontaneously broken by the instability of the finite flux Kolmogorov-Zakharov spectrum in certain (usually one dimensional) situations. As a result, the nature of the statistical attractor changes dramatically, from a sea of resonantly interacting dispersive waves to an ensemble of coherent radiating pulses.
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页数：4
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