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

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The natural exponential potential ($$C\hbox {e}^{-R/{\lambda _0 }})$$Ce-R/λ0) widely exists at micro/nanoscales; this paper studies the interaction potential between a curved-surface body and an outside particle base on the natural… Click to show full abstract

The natural exponential potential ($$C\hbox {e}^{-R/{\lambda _0 }})$$Ce-R/λ0) 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.

Keywords: natural exponential; curvature driven; driven forces; micro nanoscales

Journal Title: Acta Mechanica Solida Sinica
Year Published: 2019

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