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Updated: Jul 10, 2025

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The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
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计算受干燥摩擦的粒子与彩色噪声的扩散率
Josselin Garnier1, Laurent Mertz2
1Centre de Mathématiques Appliquées, Ecole Polytechnique, Institut Polytechnique de Paris, 91120 Palaiseau, France.
Physical review. E
|November 18, 2023
概括
随机力的相关时间显著影响物体运动与干燥摩擦. 白噪声近似通常不足以准确计算色噪声系统中的扩散率.
科学领域:
- 物理 物理学 物理
- 统计力学 统计力学
- 非线性动力学是一种非线性动力学.
背景情况:
- 在各种科学领域中,了解摩擦和随机力下的物体运动至关重要.
- 外部随机力特征,特别是相关时间对系统动态的影响需要详细调查.
研究的目的:
- 分析关联时间在外部随机力中对具有干燥摩擦物体运动的作用.
- 开发和验证高效的随机模拟方法来量化扩散率和相关指标.
主要方法:
- 开发基于原始表示公式的新型随机模拟技术.
- 计算白色和彩色噪声场景的扩散率和静止速度直方图.
- 对模拟结果与已建立的闭式公式在白噪声极限中的验证.
主要成果:
- 数值结果与已知的公式在白噪声状态中完全一致.
- 在彩色噪声模式下,白色噪声近似对于静止速度组图来说是足够的.
- 从白噪声近似得出的扩散率预测在彩色噪声系统中可能是不准确的,除非相关性时间非常小.
结论:
- 高效的随机模拟方法可提供可靠的扩散率和其他数量的估计.
- 外部随机力的相关时间是一个关键参数,不能忽视准确的扩散性预测.
- 虽然白噪声近似提供了一些见解,但它们不足以准确地描述彩色噪声环境中的动态.
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