Revisiting the SABRA model: Statics and dynamics. (30th January 2018)

• Record Type: Journal Article
• Authors: Tom, Rithwik; Ray, Samriddhi Sankar
• Is Part Of: Europhysics letters. Volume 120:Number 3(2017:Nov.)
• Publication Date: 2018-01-30
• Subjects: 47.52.+j -- 47.27.Gs -- 05.20.Jj; Physics -- Periodicals; Electronic journals; 530.05
• DOI: 10.1209/0295-5075/120/34002
• Languages: English
• ISSNs: 0295-5075

Abstract

Abstract: 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 .