PreprintarXiv licencearXiv
Wave Turbulence of Capillary Waves in Finite Systems
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 ∼μ8/3 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.
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BibTeX
@misc{korotkevich2026wave,
title = {{Wave Turbulence of Capillary Waves in Finite Systems}},
author = {Alexander O. Korotkevich},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40217},
eprint = {2610.40217},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40217},
}
RIS
TY - UNPB
TI - Wave Turbulence of Capillary Waves in Finite Systems
AU - Alexander O. Korotkevich
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.40217
UR - https://arxiv.org/abs/2610.40217
AB - 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 ∼μ^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.
ER -