Hamaker微观连续介质理论的数字密度和Hamaker常数分析

计算物理 ›› 2006, Vol. 23 ›› Issue (3): 366-370.

Hamaker微观连续介质理论的数字密度和Hamaker常数分析

田文超¹, 贾建援¹, 陈光焱²

1. 西安电子科技大学机电工程学院, 陕西西安 710071;
2. 中国工程物理研究院西南电子工程研究所, 四川绵阳 621000

收稿日期:2004-10-25 修回日期:2005-07-01 出版日期:2006-05-25 发布日期:2006-05-25
作者简介:田文超(1968-),男,江苏无锡市,副教授,博士,从事MEMS,纳米接触等方面的研究,西安电子科技大学机电工程学院181信箱71007l.
基金资助:
国家自然科学基金(10476019);中国博士后第38期基金资助项目

Digital Density in Hamaker Micro Continuum Medium Principle and Hamaker Constant

TIAN Wen-chao¹, JIA Jian-yuan¹, CHEN Guang-yan²

1. School of Elec-mechanical Engineering, Xidian University, Xi'an 710071, China;
2. Southwest Institute of Electronic Engineering, Mianyang 621000, China

Received:2004-10-25 Revised:2005-07-01 Online:2006-05-25 Published:2006-05-25

摘要/Abstract

摘要： 针对Hamaker微观连续介质理论在微观接触力计算中存在的问题,根据Hamaker假设,用连续介质法计算2个原子之间的相互作用力,发现作用力同经典的Lennard-Jones势所反映的作用力不一致.通过分析数字密度,发现数字密度并非是如Hamaker所认为的常数,而是随间距变化的;并得到Hamaker微观连续介质理论仅在间距大于7倍的原子半径时才成立的结论.通过分析Hamaker常数,发现Hamaker常数也随间距变化.

关键词: Hamaker微观连续介质理论, 数字密度, Hamaker常数

Abstract: Based on Hamaker's hypothesizes and Lennard-Jones potential, a model of rigid sphere-panel nano-contact was presented to solve microcollision and nanocontact problems. The adhesion equations between the sphere and the first layer atoms or the N layer atoms of the panel were obtained by a continuum method. It is shown that the Hamaker's micro continuum medium principle is held only as the interaction distance 7 times greater than the atomic radius.

Key words: Hamaker micro continuum medium principle, digital density, Hamaker constant

中图分类号:

TN16

田文超, 贾建援, 陈光焱. Hamaker微观连续介质理论的数字密度和Hamaker常数分析[J]. 计算物理, 2006, 23(3): 366-370.

TIAN Wen-chao, JIA Jian-yuan, CHEN Guang-yan. Digital Density in Hamaker Micro Continuum Medium Principle and Hamaker Constant[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 23(3): 366-370.

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