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  Minimal phase-coupling model for intermittency in turbulent systems

Arguedas-Leiva, J. A., Carroll, E., Biferale, L., Wilczek, M., & Bustamante, M. D. (2022). Minimal phase-coupling model for intermittency in turbulent systems. Physical Review Research, 4: L032035. doi:10.1103/PhysRevResearch.4.L032035.

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Arguedas-Leiva, José Agustín1, Autor           
Carroll, Enda, Autor
Biferale, Luca, Autor
Wilczek, Michael1, Autor           
Bustamante, Miguel D., Autor
Affiliations:
1Max Planck Research Group Theory of Turbulent Flows, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2266693              

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 Zusammenfassung: Turbulent systems exhibit a remarkable multiscale complexity, in which spatial structures induce scale-dependent statistics with strong departures from Gaussianity. In Fourier space, this is reflected by pronounced phase synchronization. A quantitative relation between real-space structure, statistics, and phase synchronization is currently missing. Here, we address this problem in the framework of a minimal deterministic phase-coupling model, which enables a detailed investigation by means of dynamical systems theory and multiscale high -resolution simulations. We identify the spectral power law steepness, which controls the phase coupling, as the control parameter for tuning the non-Gaussian properties of the system. Whereas both very steep and very shallow spectra exhibit close-to-Gaussian statistics, the strongest departures are observed for intermediate slopes comparable with the ones in hydrodynamic and Burgers turbulence. We show that the non-Gaussian regime of the model coincides with a collapse of the dynamical system to a lower-dimensional attractor and the emergence of phase synchronization, thereby establishing a dynamical-systems perspective on turbulent intermittency.

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Sprache(n): eng - English
 Datum: 2022-08-292022
 Publikationsstatus: Erschienen
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 Ort, Verlag, Ausgabe: -
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 Identifikatoren: DOI: 10.1103/PhysRevResearch.4.L032035
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Titel: Physical Review Research
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: -
Seiten: 6 Band / Heft: 4 Artikelnummer: L032035 Start- / Endseite: - Identifikator: ISSN: 2643-1564