基于碎形理论的规模独立模型,用于计算粒子与粗表面之间的粘附力
Xiao Wang1, Weidong Wang1, Yingmin Zhu1
1School of Mechano-Electronic Engineering, <a href="https://ror.org/05s92vm98">Xidian University</a>, Xi'an 710071, People's Republic of China.
Physical review. E
|October 19, 2024
概括
在粗的表面上估计范德瓦尔斯力是一项挑战. 这项研究在拉比诺维奇模型中引入了一个规模独立的碎形维度,改进了对粗表面的微粘合力计算.
科学领域:
- 物理 物理学 物理
- 材料科学 材料科学 材料科学
- 表面科学是一门学科.
背景情况:
- 估计粒子和粗表面之间的范德瓦尔斯力是复杂的尺度依赖参数.
- 现有的模型在不同的测量尺度上与表面粗度的固有变化作斗争.
研究的目的:
- 开发一个规模独立的模型来计算微粘合力.
- 通过结合碎形几何学来提高对粗表面的范德瓦尔斯力估计的准确性.
主要方法:
- 在拉比诺维奇模型中引入了碎形维度作为一个规模独立的参数.
- 使用Weierstrass-Mandelbrot函数生成随机的2D轮用于光谱分析.
- 采用粗度尺度提取方法来确定 (Al) 表面的碎形维度.
主要成果:
- 开发了规模独立的拉比诺维奇-碎形模型用于微粘合力计算.
- 证明模型的粘附力计算与原子力显微镜 (AFM) 粘附测试结果一致.
- 展示了模型与表面粗度测量的采样规模的独立性.
结论:
- 拉比诺维奇-碎形模型提供了更准确的范德瓦尔斯力估计.
- 这种规模独立的方法消除了与表面粗度测量中的采样规模相关的错误.
- 该模型提供了一种强大的方法来分析粗表面上的微粘合力.
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