2007/01/31 by Elena Kartashova · 4 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Ocean Waves and Remote Sensing #Oceanographic and Atmospheric Processes #Tropical and Extratropical Cyclones Research #math-ph #math.MP
paper · pdf · doi:10.1103/physrevlett.98.214502
published as PRL 98(21): 214502 (2007) · Submitted to PRL
arxiv created 2007/03/12 · openalex publication_date 2007/05/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The structure of discrete resonances in water wave turbulence is studied. It is shown that the number of exact 4-wave resonances is huge (hundreds of millions) even in a comparatively small spectral domain when both scale and angle energy transport is taken into account. It is also shown that angle transport can contribute inexplicitly to scale transport. Restrictions for quasiresonance to start are written out. The general approach can be applied directly to mesoscopic systems encountered in condensed matter (quantum dots), medical physics, etc.