Second harmonic generation as a minimal model of turbulence
| Autor: | Gregory Falkovich, N. Vladimirova, Michal Shavit, Sergey Belan |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Statistical Mechanics (cond-mat.stat-mech) Gaussian Strong interaction FOS: Physical sciences Mutual information Nonlinear Sciences - Chaotic Dynamics 01 natural sciences Noise (electronics) 010305 fluids & plasmas Minimal model Entropy (classical thermodynamics) symbols.namesake Phase correlation 0103 physical sciences Harmonic symbols Statistical physics Chaotic Dynamics (nlin.CD) 010306 general physics Condensed Matter - Statistical Mechanics |
| DOI: | 10.48550/arxiv.2103.15468 |
| Popis: | When two resonantly interacting modes are in contact with a thermostat, their statistics is exactly Gaussian and the modes are statistically independent despite strong interaction. Considering a noise-driven system, we show that when one mode is pumped and another dissipates, the statistics of such cascades is never close to Gaussian, no matter what is the relation between interaction and noise. One finds substantial phase correlation in the limit of strong interaction or weak noise. Surprisingly, the mutual information between modes increases and entropy decreases when interaction strength decreases. We use the model to elucidate the fundamental problem of far-from equilibrium physics: where the information, or entropy deficit, is encoded, and how singular measures form. For an instability-driven system, such as laser, even a small added noise leads to large fluctuations of the relative phase near the stability threshold, while far from the equilibrium the conversion into the second harmonic is weakly affected by noise. |
| Databáze: | OpenAIRE |
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