2019
DOI: 10.1017/jfm.2019.572
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Rare transitions to thin-layer turbulent condensates

Abstract: Turbulent flows in a thin layer can develop an inverse energy cascade leading to spectral condensation of energy when the layer height is smaller than a certain threshold. These spectral condensates take the form of large-scale vortices in physical space. Recently, evidence for bistability was found in this system close to the critical height: depending on the initial conditions, the flow is either in a condensate state with most of the energy in the two-dimensional (2-D) large-scale modes, or in a three-dimen… Show more

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Cited by 18 publications
(15 citation statements)
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References 56 publications
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“…Similar transitions from a forward to an inverse cascade and to quasi-2-D motion have also been observed in other systems like thin-layer turbulence (Celani, Musacchio & Vincenzi 2010; Benavides & Alexakis 2017; Musacchio & Boffetta 2017; van Kan & Alexakis 2019; van Kan, Nemoto & Alexakis 2019; Musacchio & Boffetta 2019), stratified turbulence (Sozza et al 2015), rotating and stratified flows (Marino, Pouquet & Rosenberg 2015), magneto-hydrodynamic systems (Alexakis 2011; Seshasayanan, Benavides & Alexakis 2014; Seshasayanan & Alexakis 2016) and helically constrained flows (Sahoo & Biferale 2015; Sahoo, Alexakis & Biferale 2017) among others (see the articles by Alexakis & Biferale (2018) and Pouquet et al (2019) for recent reviews).…”
Section: Introductionsupporting
confidence: 77%
“…Similar transitions from a forward to an inverse cascade and to quasi-2-D motion have also been observed in other systems like thin-layer turbulence (Celani, Musacchio & Vincenzi 2010; Benavides & Alexakis 2017; Musacchio & Boffetta 2017; van Kan & Alexakis 2019; van Kan, Nemoto & Alexakis 2019; Musacchio & Boffetta 2019), stratified turbulence (Sozza et al 2015), rotating and stratified flows (Marino, Pouquet & Rosenberg 2015), magneto-hydrodynamic systems (Alexakis 2011; Seshasayanan, Benavides & Alexakis 2014; Seshasayanan & Alexakis 2016) and helically constrained flows (Sahoo & Biferale 2015; Sahoo, Alexakis & Biferale 2017) among others (see the articles by Alexakis & Biferale (2018) and Pouquet et al (2019) for recent reviews).…”
Section: Introductionsupporting
confidence: 77%
“…It would be interesting to ask if the Fréchet distribution fits better in their case as well with more detailed statistics. Furthermore, turbulent transitions between two- and three-dimensional dynamics have been long studied (Smith, Chasnov & Waleffe 1996; Celani, Musacchio & Vincenzi 2010; Benavides & Alexakis 2017; Musacchio & Boffetta 2017; Alexakis & Biferale 2018), where a super-exponential increase of the transition time was observed in thin-layer turbulent condensates (van Kan, Nemoto & Alexakis 2019). This super-exponential increase could be also studied using the extreme value theory.…”
Section: Resultsmentioning
confidence: 99%
“…This was obtained, for fluid dynamics, for example through a Fourier analysis of ocean drifters [54,55], as well as in laboratory and numerical experiments of strongly rotating flows in the presence or not of stratification [56][57][58][59]. It is also observed in three-dimensional fluid dynamics in thin layers, with a clear threshold behavior [60,61]. In MHD, similar detailed analyses were performed on numerical data in two and three space dimensions [62,63], as well as in the solar wind [19], and more recently in the atmosphere of Jupiter [64].…”
Section: Bi-directional Cascadesmentioning
confidence: 72%