TY - JOUR
T1 - Spontaneous breaking of the spatial homogeneity symmetry in wave turbulence
AU - Newell, Alan C.
AU - Rumpf, Benno
AU - Zakharov, Vladimir E.
PY - 2012/5/11
Y1 - 2012/5/11
N2 - 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.
AB - 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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U2 - 10.1103/PhysRevLett.108.194502
DO - 10.1103/PhysRevLett.108.194502
M3 - Article
AN - SCOPUS:84861052534
SN - 0031-9007
VL - 108
JO - Physical review letters
JF - Physical review letters
IS - 19
M1 - 194502
ER -