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Updated: Jun 6, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
由高斯噪声引起的平面周期流中的被动标记物从亚扩散传输过渡到正常扩散的机制
Boris S Maryshev1, Lyudmila S Klimenko1,2
1Institute of Continuous Media Mechanics, UB RAS, Academician Korolev Street 1, Perm 614013, Russia.
临界力会产生不对称的,减缓粒子运输. 分子扩散增强了这种减速,导致粘性流系统中的亚扩散行为.
科学领域:
- 流体动力学 流体动力学
- 非线性动力学是一种非线性动力学.
- 统计物理学的统计物理.
背景情况:
- 对于带有的二维粘性流存在分析解决方案.
- 不对称的旋模式在关键驱动力幅度以上出现.
研究的目的:
- 对驱动粘流的现有解决方案进行概括.
- 在不对称的结构中研究被动粒子传输.
- 分析噪声和扩散对粒子运输动态的影响.
主要方法:
- 对粘性流的分析解决方案的概括.
- 朗格温方程的数值解法用于模拟粒子运输.
- 开发用于单元细胞运输分析的重复性映射.
- 研究分子扩散和噪声对粒子组合的影响.
主要成果:
- 周期性不对称的 vortices 在临界力幅度以上形成.
- 在无噪声条件下,颗粒传输极其缓慢,导致混合.
- 扩散使粒子进入,进一步减缓运输.
- 标记器组合变异跟随时间的功率定律.
- 当噪声强度接近零时,观察到亚扩散行为,这取决于分子扩散性.
结论:
- 这项研究为具有不对称的粘性流提供了一个通用模型.
- 宏观粒子运输受到结构和扩散的显著阻碍.
- 噪音和扩散在确定运输特征和亚扩散方面发挥着至关重要的作用.
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