Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical Simulation of Collinear Capillary-Wave Turbulence   We report on direct numerical simulation of quasi-one-dimensional
bidirectional capillary-wave turbulence. Although nontrivial three-wave and
four-wave resonant interactions are absent in this peculiar geometry, we show
that an energy transfer between scales still occurs concentrated around the
linear dispersion relation that is broadened by nonlinearity. The wave spectrum
displays a clear wave number power-law scaling that is found to be in good
agreement with the dimensionally prediction for capillary-wave turbulence
involving four-wave interactions. The carried out high-order correlation
analysis (bicoherence and tricoherence) confirms quantitatively the dominant
role of four-wave quasi-resonant interactions. The Kolmogorov-Zakharov spectrum
constant is also estimated numerically. We interpret our results as the first
numerical observation of anisotropic capillary-wave turbulence in which
four-wave interactions play a dominant role

21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol