2024/06/26 by V. Rosenhaus, Rosenhaus, Vladimir, Daniel Schubring +1 · 4 citations
Earth and Planetary Sciences · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #High Energy Astrophysical Phenomena (astro-ph.HE) #High Energy Physics - Theory (hep-th) #Meteorological Phenomena and Simulations #Ocean Waves and Remote Sensing #Statistical Mechanics (cond-mat.stat-mech) #Tropical and Extratropical Cyclones Research
paper · pdf · doi:10.48550/arxiv.2406.18475
openalex publication_date 2024/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study wave turbulence in systems with two special properties: a large number of fields (large N) and a nonlinear interaction that is strongly local in momentum space. The first property allows us to find the kinetic equation at all interaction strengths -- both weak and strong, at leading order in 1/N. The second allows us to turn the kinetic equation -- an integral equation -- into a differential equation. We find stationary solutions for the occupation number as a function of wave number, valid at all scales. As expected, on the weak coupling end the solutions asymptote to Kolmogorov-Zakharov scaling. On the strong coupling end, they asymptote to either the widely conjectured generalized Phillips spectrum (also known as critical balance), or a Kolmogorov-like scaling exponent.