Non-iterative and exact method for constraining particles in a linear geometry

Details Non-iterative and exact method for constraining particles in a linear geometry Non-iterative and exact method for constraining particles in a linear geometry

2004-12-21

arxiv.org/abs/cond-mat/0412557v1

Journal of Polymer Science B: Polymer Physics Vol.43, 911 (2005); Vol.48, 2604 (2010)

Physics

Condensed Matter

Materials Science

12 pages, 2 figures

Scientific paper

10.1002/polb.20383

We present a practical numerical method for evaluating the Lagrange multipliers necessary for maintaining a constrained linear geometry of particles in dynamical simulations. The method involves no iterations, and is limited in accuracy only by the numerical methods for solving small systems of linear equations. As a result of the non-iterative and exact (within numerical accuracy) nature of the procedure there is no drift in the constrained geometry, and the method is therefore readily applied to molecular dynamics simulations of, e.g., rigid linear molecules or materials of non-spherical grains. We illustrate the approach through implementation in the commonly used second-order velocity explicit Verlet method.

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