Model of laminated wave turbulence
نویسندگان
چکیده
منابع مشابه
A model of laminated wave turbulence
A model of laminated wave turbulence is presented. This model consists of two co-existing layers one with continuous waves’ spectra, covered by KAM theory and Kolmogorov-like power spectra, and one with discrete waves’ spectra, covered by discrete classes of waves and Clipping method. Some known laboratory experiments and numerical simulations are explained in the frame of this model. PACS: 47....
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Theory of laminated wave turbulence developed recently allows to study at the same base both types of turbulent wave systems statistical and discrete. The main novelty of the theory is the following: discrete effects do appear not only in the long-wave part of the spectral domain (corresponding to small wave numbers) but all through the spectra. One of the new problems put forth by the theory o...
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The model of laminated wave turbulence presented recently unites both types of turbulent wave systems statistical wave turbulence (introduced by Kolmogorov and brought to the present form by numerous works of Zakharov and his scientific school since nineteen sixties) and discrete wave turbulence (developed in the works of Kartashova in nineteen nineties). The main new feature described by this ...
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The model of laminated wave turbulence puts forth a novel computational problem – construction of fast algorithms for finding exact solutions of Diophantine equations in integers of order 1012 andmore. The equations to be solved in integers are resonant conditions for nonlinearly interacting waves and their form is defined by the wave dispersion. It is established that for the most common dispe...
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Model of laminated wave turbulence allows to study statistical and discrete layers of turbulence in the frame of the same model. Statistical layer is described by Zakharov-Kolmogorov energy spectra in the case of irrational enough dispersion function. Discrete layer is covered by some system(s) of Diophantine equations while their form is determined by wave dispersion function. This presents a ...
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ژورنال
عنوان ژورنال: Journal of Experimental and Theoretical Physics Letters
سال: 2006
ISSN: 0021-3640,1090-6487
DOI: 10.1134/s0021364006070058