重粒子的随机悬浮

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摘要翻译：
近年来，不可压缩流动中重颗粒的湍流悬浮引起了人们的广泛关注。大量的工作集中在粒子的惯性和耗散动力学对其动力学和统计性质的影响上。对模型流中悬浮体的研究取得了实质性进展，尽管模型流简单得多，但它再现了在真实湍流中观察到的大多数重要机制。本文介绍了在时间不相关和空间自相似的高斯流中悬浮的一对粒子的相对运动的最新进展。这一审查得到了新结果的补充。通过引入随时间变化的Stokes数，证明了惯性粒子的相对色散与简单示踪剂有关的Richardson扩散是渐近恢复的。微扰（均匀化）技术用于小斯托克斯数渐近，并导致用有效漂移解释示踪剂动力学的一级修正。这种扩展意味着关联维数亏缺是Stokes数的线性函数。数值模拟验证了该预测的有效性和准确性。
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英文标题：
《Stochastic suspensions of heavy particles》
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作者：
Jeremie Bec, Massimo Cencini, Rafaela Hillerbrand, and Konstantin
  Turitsyn
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Chaotic Dynamics        混沌动力学
分类描述：Dynamical systems, chaos, quantum chaos, topological dynamics, cycle expansions, turbulence, propagation
动力系统，混沌，量子混沌，拓扑动力学，循环展开，湍流，传播
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一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Fluid Dynamics        流体动力学
分类描述：Turbulence, instabilities, incompressible/compressible flows, reacting flows. Aero/hydrodynamics, fluid-structure interactions, acoustics. Biological fluid dynamics, micro/nanofluidics, interfacial phenomena. Complex fluids, suspensions and granular flows, porous media flows. Geophysical flows, thermoconvective and stratified flows. Mathematical and computational methods for fluid dynamics, fluid flow models, experimental techniques.
湍流，不稳定性，不可压缩/可压缩流，反应流。气动/流体力学，流体-结构相互作用，声学。生物流体力学，微/纳米流体力学，界面现象。复杂流体，悬浮液和颗粒流，多孔介质流。地球物理流，热对流和层流。流体动力学的数学和计算方法，流体流动模型，实验技术。
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英文摘要：
  Turbulent suspensions of heavy particles in incompressible flows have gained much attention in recent years. A large amount of work focused on the impact that the inertia and the dissipative dynamics of the particles have on their dynamical and statistical properties. Substantial progress followed from the study of suspensions in model flows which, although much simpler, reproduce most of the important mechanisms observed in real turbulence. This paper presents recent developments made on the relative motion of a pair of particles suspended in time-uncorrelated and spatially self-similar Gaussian flows. This review is complemented by new results. By introducing a time-dependent Stokes number, it is demonstrated that inertial particle relative dispersion recovers asymptotically Richardson's diffusion associated to simple tracers. A perturbative (homogeneization) technique is used in the small-Stokes-number asymptotics and leads to interpreting first-order corrections to tracer dynamics in terms of an effective drift. This expansion implies that the correlation dimension deficit behaves linearly as a function of the Stokes number. The validity and the accuracy of this prediction is confirmed by numerical simulations.
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PDF链接：
https://arxiv.org/pdf/710.2507

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关键词：Experimental Interpreting Mathematical interactions Perturbative 函数 渐近 suspensions 维数 用于