二维turbulence中的集体组织和筛选
Collective organisation and screening in two-dimensional turbulence
摘要:
根据最近的证据表明,在衰减的二维湍流的旋涡可以分为小-移动,和大-准静止,本文研究的证据,后者可能被认为是一个“晶体”,其形成体现了反向级联的能量向更大的尺度。几个诊断的顺序适用于表面上无序的大涡。结果表明,它们的几何排列是更经常比随机,他们移动更慢,比可以预期从简单的平均场参数,他们的能量显着低于在随机重组相同的旋涡。这是追溯到筛选的长程相互作用的优先协会相反的符号的旋涡,有人认为,这是由于相互捕获的同旋旋涡,在一个机制更接近潮汐中断比静电屏蔽。最后,这些“随机晶体”的动力系统表示的湍流的固定点的可能关系进行了简要的审查。
英文摘要:
Following recent evidence that the vortices in decaying two-dimensional turbulence can be classified into small--mobile, and large--quasi-stationary, this paper examines the evidence that the latter might be considered a `crystal' whose formation embodies the inverse cascade of energy towards larger scales. Several diagnostics of order are applied to the ostensibly disordered large vortices. It is shown that their geometric arrangement is substantially more regular than random, that they move more slowly than could be expected from simple mean-field arguments, and that their energy is significantly lower than in a random reorganisation of the same vortices. This is traced to screening of long-range interactions by the preferential association of vortices of opposite sign, and it is argued that this is due to the mutual capture of corrotating vortices, in a mechanism closer to tidal disruption than to electrostatic screening. Finally, the possible relation of these `stochastic crystals' to fixed points of the dynamical system representation of the turbulent flow is briefly examined.
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