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

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arxiv 2405.03944 v1 pith:APL4YFXY submitted 2024-05-07 cond-mat.soft cond-mat.mtrl-sci

Junwen Wang , Shengfeng Cheng This is my paper · ORCID
classification cond-mat.softcond-mat.mtrl-sci
keywords potentialanalyticallennard-jonesspherethinapproachasymptoticcompact
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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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Cited by 1 Pith paper

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  1. Benchmarking Energy Calculations Using Formal Proofs

    cond-mat.stat-mech 2025-05 conditional novelty 6.0 of 10

    LeanLJ computes Lennard-Jones energies and long-range corrections in periodic boundaries using Lean 4, with proofs about the mathematical functions and numerical agreement with NIST SRSW benchmarks.

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