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

Curvature-Driven Forces Based on Natural Exponential Pair Potential at Micro/Nanoscales Abstract 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Solida Sinica" Springer Journals

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

, Volume 32 (2): 15 – Apr 1, 2019
15 pages

/lp/springer-journals/curvature-driven-forces-based-on-natural-exponential-pair-potential-at-n2G8BqdKwp
Publisher
Springer Journals
2019 The Chinese Society of Theoretical and Applied Mechanics
ISSN
0894-9166
eISSN
1860-2134
DOI
10.1007/s10338-019-00079-6
Publisher site
See Article on Publisher Site

### Abstract

Abstract 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.

### Journal

"Acta Mechanica Solida Sinica"Springer Journals

Published: Apr 1, 2019

Keywords: Theoretical and Applied Mechanics; Surfaces and Interfaces, Thin Films; Classical Mechanics