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Journal of Nanomaterials
Volume 2014, Article ID 464925, 8 pages
Research Article

Interaction Potential between Parabolic Rotator and an Outside Particle

Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing 100084, China

Received 29 April 2014; Accepted 19 June 2014; Published 7 July 2014

Academic Editor: Shaoyun Fu

Copyright © 2014 Dan Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


At micro/nanoscale, the interaction potential between parabolic rotator and a particle located outside the rotator is studied on the basis of the negative exponential pair potential between particles. Similar to two-dimensional curved surfaces, we confirm that the potential of the three-dimensional parabolic rotator and outside particle can also be expressed as a unified form of curvatures; that is, it can be written as the function of curvatures. Furthermore, we verify that the driving forces acting on the particle may be induced by the highly curved micro/nano-parabolic rotator. Curvatures and the gradient of curvatures are the essential elements forming the driving forces. Through the idealized numerical experiments, the accuracy of the curvature-based potential is preliminarily proved.