collagen 发表于 2025-4-2 21:11:02
Statistical Objects in Wave Turbulencentensities and phasefactors, joint probability density functions (PDFs) of the wave amplitudes, partial andsingle-mode PDFs, multi-mode and single-mode generating functions, moments of thewave intensity and the wave spectrum. Random phase and amplitude (RPA) fields aredefined, and the Wick’s contrac奇怪 发表于 2025-4-3 01:15:32
Wave Turbulence Formalismon in Fourier spaceusing the interaction representation, iterative solving this equation of this equation fortimes intermediate between the fast linear and slow nonlinear time scales, RPA averaging,taking the large box and the weak nonlinearity limits. The traditional Wave Turbulenceapproach is geneconstitutional 发表于 2025-4-3 07:02:57
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Conserved Quantities in Wave Turbulence and their Cascadestions for presenceof extra invariants are derived. Relations between the statistical and the dynamicalinvariants are discussed. Directions of the turbulent cascades in the k-space are found viaa generalised Fjørtoft’s argument (originally used in 2D hydrodynamic turbulence). ThePetviashvilli drift-w表状态 发表于 2025-4-3 14:26:26
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