10.1088/1751-8121/aba29d
https://zenodo.org/records/4009807
oai:zenodo.org:4009807
V. N. Grebenev, S. B. Medvedev, S. V. Nazarenko, B. V. Semisalov
V. N. Grebenev, S. B. Medvedev, S. V. Nazarenko, B. V. Semisalov
Steady states in dual-cascade wave turbulence
Zenodo
2020
wave turbulence, optical turbulence, light turbulence
2020-08-14
eng
Creative Commons Attribution 4.0 International
We study stationary solutions in the differential kinetic equation, which was introduced in Dyachenko A et al (1992 Physica D 57 96–160) for description of a local dual cascade wave turbulence. We give a full classification of single-cascade states in which there is a finite flux of only one conserved quantity. Analysis of the steady-state spectrum is based on a phase-space analysis of orbits of the underlying dynamical system. The orbits of the dynamical system demonstrate the blowup behaviour which corresponds to a 'sharp front' where the spectrum vanishes at a finite wave number. The roles of the Kolmogorov–Zakharov and thermodynamic scaling as intermediate asymptotic, as well as of singular solutions, are discussed.
European Commission
10.13039/501100000780
823937
Hydrodynamical approach to light turbulence