Interaction potential between micro/nano curved surface and a particle located inside the surface (I):driving forces induced by curvatures  

作　　者：WU JiYe YIN YaJun WANG XuGui FAN QinShan 

机构地区：[1]Department of Engineering Mechanics,School ofAerospace,Tsinghua University,Beijing 100084,China [2]Division of Mechanics,Nanjin g University of Technology,Nanjing 211816,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2012年第6期1066-1076,共11页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Sciences Foundation of China (Grant Nos.11072125 and 10872114);the Natural Science Foundation of Jiangsu province (Grant No. SBK201140044)

摘　　要：This paper focuses on the interaction between a micro/nano curved surface and a particle located inside the surface (hereafter abbreviated as in-surface-particle).Based on the exponential pair potential (namely 1/R2k) between particles,the interaction potential between the micro/nano curved surface and the in-surface-particle is derived.The following results are shown:(a) For an even number of exponents in the pair potential,the interaction potential between the micro/nano curved surface and the in-surface-particle can be expressed as a unified function of the mean curvature and Gaussian curvature of the curved surface;(b) the curvatures and the gradients of curvatures of the micro/nano curved surface are the essential factors that dominate the driving force acting on the particle.This paper focuses on the interaction between a micro/nano curved surface and a particle located inside the surface （hereafter abbreviated as in-surface-particle）.Based on the exponential pair potential （namely 1/R2k） between particles,the interaction potential between the micro/nano curved surface and the in-surface-particle is derived.The following results are shown：（a） For an even number of exponents in the pair potential,the interaction potential between the micro/nano curved surface and the in-surface-particle can be expressed as a unified function of the mean curvature and Gaussian curvature of the curved surface;（b） the curvatures and the gradients of curvatures of the micro/nano curved surface are the essential factors that dominate the driving force acting on the particle.

关 键 词：micro/nano curved surface curvature-based potentials curvatures and the gradients of curvatures driving force 

分 类 号：O561.5[理学—原子与分子物理] TQ630.71[理学—物理]