Curvature-Driven Forces Based on Natural Exponential Pair Potential at Micro/Nanoscales

  • Dan WangEmail author
  • Yajun Yin
  • Zheng Zhong
  • Zhili Hu


The natural exponential potential (\(C\hbox {e}^{-R/{\lambda _0 }})\) widely exists at micro/nanoscales; this paper studies the interaction potential between a curved-surface body and an outside particle base on the natural exponential potential. Mathematical derivation proves that the interaction potential can be expressed as a function of curvatures. Then, idealized numerical experiments are designed to verify the accuracy of the curvature-based potential. The driving forces exerted on the particle are discussed and confirmed to be a function of curvatures and the gradient of curvatures, which may explain some abnormal movements at micro/nanoscales.


Micro/nanoscales Curvature-driven forces Natural exponential pair potential Curvature-based potential 



This research is supported by the Natural Science Foundation of Jiangsu Province (Nos. BK20180411, BK20180416) and the start-up funding awarded by Nanjing University of Aeronautics and Astronautics (Nos. 56SYAH17065, 90YAH17065).

Compliance with Ethical Standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsNanjingChina
  2. 2.Department of Engineering Mechanics, School of AerospaceTsinghua UniversityBeijingChina
  3. 3.School of Aerospace Engineering and Applied MechanicsTongji UniversityShanghaiChina

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