Integrated Lennard-Jones Potential between a Sphere and a Thin Rod

Junwen Wang; Shengfeng Cheng

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arXiv · 2405.03944

Integrated Lennard-Jones Potential between a Sphere and a Thin Rod

Junwen Wang·Shengfeng Cheng

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Abstract

A compact analytical form is derived via an integration approach for the interaction between a sphere and a thin rod of both finite and infinite lengths, with each object treated as a continuous medium of materials points interacting by the Lennard-Jones 12-6 potential. Expressions for the resultant forces and torques are obtained. Various asymptotic limits of the analytical sphere-rod potential are discussed.

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Junwen Wang, Shengfeng Cheng. 2024-05-07. Integrated Lennard-Jones Potential between a Sphere and a Thin Rod. https://arxiv.org/abs/2405.03944

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