Second-harmonic generation as a minimal model of turbulence

نویسندگان

چکیده

When two resonantly interacting modes are in contact with a thermostat, their statistics is exactly Gaussian and the statistically independent despite strong interaction. Considering noise-driven system, we show that when one mode pumped another dissipates, (of such cascades) never close to no matter interaction/noise relation. One finds substantial phase correlation limit of interaction (weak noise). Surprisingly, for both cascades, mutual information between increases entropy further decreases strength decreases. We use model elucidate fundamental problem far-from equilibrium physics: where (entropy deficit) encoded how singular measures form. For an instability-driven system (a laser), even small added noise leads large fluctuations relative near stability threshold, while far from it conversion into second harmonic weakly affected by noise.

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2021

ISSN: ['1550-2376', '1539-3755']

DOI: https://doi.org/10.1103/physreve.104.014129