Odd viscosity suppresses intermittency in direct turbulent cascades
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914078131224576 |
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| author | Chen, Sihan de Wit, Xander M. Fruchart, Michel Toschi, Federico Vitelli, Vincenzo |
| author_facet | Chen, Sihan de Wit, Xander M. Fruchart, Michel Toschi, Federico Vitelli, Vincenzo |
| contents | Intermittency refers to the broken self-similarity of turbulent flows caused by anomalous spatio-temporal fluctuations. In this Letter, we ask how intermittency is affected by a non-dissipative viscosity, known as odd viscosity (also Hall or gyro-viscosity), which appears in parity-breaking fluids such as magnetized polyatomic gases, electron fluids under magnetic field and spinning colloids or grains. Using a combination of Navier-Stokes simulations and theory, we show that intermittency is suppressed by odd viscosity at small scales. This effect is caused by parity-breaking waves, induced by odd viscosity, that break the multiple scale invariances of the Navier-Stokes equations. Building on this insight, we construct a two-channel helical shell model that reproduces the basic phenomenology of turbulent odd-viscous fluids including the suppression of anomalous scaling. Our findings illustrate how a fully developed direct cascade that is entirely self-similar can emerge below a tunable length scale, paving the way for designing turbulent flows with adjustable levels of intermittency. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_18894 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Odd viscosity suppresses intermittency in direct turbulent cascades Chen, Sihan de Wit, Xander M. Fruchart, Michel Toschi, Federico Vitelli, Vincenzo Fluid Dynamics Soft Condensed Matter Intermittency refers to the broken self-similarity of turbulent flows caused by anomalous spatio-temporal fluctuations. In this Letter, we ask how intermittency is affected by a non-dissipative viscosity, known as odd viscosity (also Hall or gyro-viscosity), which appears in parity-breaking fluids such as magnetized polyatomic gases, electron fluids under magnetic field and spinning colloids or grains. Using a combination of Navier-Stokes simulations and theory, we show that intermittency is suppressed by odd viscosity at small scales. This effect is caused by parity-breaking waves, induced by odd viscosity, that break the multiple scale invariances of the Navier-Stokes equations. Building on this insight, we construct a two-channel helical shell model that reproduces the basic phenomenology of turbulent odd-viscous fluids including the suppression of anomalous scaling. Our findings illustrate how a fully developed direct cascade that is entirely self-similar can emerge below a tunable length scale, paving the way for designing turbulent flows with adjustable levels of intermittency. |
| title | Odd viscosity suppresses intermittency in direct turbulent cascades |
| topic | Fluid Dynamics Soft Condensed Matter |
| url | https://arxiv.org/abs/2404.18894 |