Revisiting the SABRA model: Statics and dynamics
Revisiting the SABRA model: Statics and dynamics
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重新审视 SABRA 模型：静力学和动力学
DOI：
10.1209/0295-5075/120/34002
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Samriddhi Sankar Ray
中科院分区：
文献类型：
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作者：
Rithwik Tom;Samriddhi Sankar Ray
根据弗里希等人最近的研究结果，我们重新审视了二维SABRA模型。启。， 108(2012) 074501)，并通过等时间和时间相关的结构函数，系统地检查平衡状态和级联（湍流）解决方案之间的相互作用，这些解决方案以单个参数b为特征。我们计算了均分和湍流状态下的静态和动态指数，这与早期的研究一致。我们的结果表明没有从均分到湍流状态的急剧过渡。事实上，我们发现SABRA模型只能渐近地模拟真实的二维湍流。
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 .