A minimal phase-coupling model for intermittency in turbulent systems
| Title: | A minimal phase-coupling model for intermittency in turbulent systems |
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| Authors: | Arguedas-Leiva, José-Agustín, Carroll, Enda, Biferale, Luca, Wilczek, Michael, Bustamante, Miguel D. |
| Source: | Phys. Rev. Research (2022) |
| Publication Year: | 2021 |
| Collection: | Nonlinear Sciences Physics (Other) |
| Subject Terms: | Physics - Fluid Dynamics, Nonlinear Sciences - Chaotic Dynamics |
| More Details: | Turbulent systems exhibit a remarkable multi-scale 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 phase-coupling model, which enables a detailed investigation by means of dynamical systems theory and multi-scale 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 to 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. Comment: 6 pages, 3 figures. Main changes: Improved introduction and model discussion to emphasize the deterministic system that supports a turbulent attractor. Improved figures and text to introduce a time-dependent order parameter |
| Document Type: | Working Paper |
| DOI: | 10.1103/PhysRevResearch.4.L032035 |
| Access URL: | http://arxiv.org/abs/2107.14003 |
| Accession Number: | edsarx.2107.14003 |
| Database: | arXiv |
| DOI: | 10.1103/PhysRevResearch.4.L032035 |
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