Revisiting the SABRA model: Statics and dynamics

We revisit the two-dimensional SABRA model, in the light of the recent results of Frisch et al. (Phys. Rev. Lett., 108 (2012) 074501) and examine, systematically, the interplay between equilibrium states and cascade (turbulent) solutions, characterised by a single parameter b, via equal-time and tim...

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Bibliographic Details
Published in:Europhysics letters 2017-11, Vol.120 (3), p.34002
Main Authors: Tom, Rithwik, Ray, Samriddhi Sankar
Format: Article
Language:English
Subjects:
05.20.Jj
47.27.Gs
47.52.+j
Time dependence
Turbulence
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Summary:We revisit the two-dimensional SABRA model, in the light of the recent results of Frisch et al. (Phys. Rev. Lett., 108 (2012) 074501) and examine, systematically, the interplay between equilibrium states and cascade (turbulent) solutions, characterised by a single parameter b, via equal-time and time-dependent structure functions. We calculate the static and dynamic exponents across the equipartition as well as turbulent regimes which are consistent with earlier studies. Our results indicate the absence of a sharp transition from equipartition to turbulent states. Indeed, we find that the SABRA model mimics true two-dimensional turbulence only asymptotically as .
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/120/34002