Fast Multipole Algorithms for the Lennard-Jones Potential

William D. Elliott and John A. Board, Jr.

Abstract

This paper describes a new implementation of the Fast Multipole Algorithm (FMA) to compute general 1/r^(2n) particle-to-particle potential functions in addition to the Coulomb potential computed in the original FMA. In particular we implemented the Lennard-Jones potential, a source of non-bonded forces between atoms computed in molecular dynamics simulations. The resulting O(N) FMA-LJ algorithm computes to arbitrary precision the force and potential due to all atomic pairwise interactions in the molecular dynamics simulation region.


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