Year: 2026
Type: preprint
Abstract: We consider classical problem of turbulence of capillary waves. In a series of numerical simulations it is shown that Zakharov-Filonenko spectrum corresponding to direct cascade of energy has a limited dynamic range of realization in a finite system, which shrinks with decreasing level of nonlinearity. Recent hypothesis that this dynamic range scales with average steepness as $\simμ^{8/3}$ is confirmed. As a byproduct the Zakharov-Filonenko spectrum was observed for record dynamic range close to or beyond one decade in a variety of simulation configurations.
Source: arXiv (Cornell University)
Author: Korotkevich, Alexander O.
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224893256