Integrated Lennard-Jones Potential between a Sphere and a Thin Rod
Soft Condensed Matter
2024-05-08 v1 Materials Science
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.
Keywords
Cite
@article{arxiv.2405.03944,
title = {Integrated Lennard-Jones Potential between a Sphere and a Thin Rod},
author = {Junwen Wang and Shengfeng Cheng},
journal= {arXiv preprint arXiv:2405.03944},
year = {2024}
}
Comments
6 pages, 2 figures