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

Authors

  • Horacio Tapia-McClung,

    1. Department of Applied Science, University of California, Davis, California 95616
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  • Niels Grønbech-Jensen

    Corresponding author
    1. Department of Applied Science, University of California, Davis, California 95616
    • Department of Applied Science, University of California, Davis, California 95616
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Errata

This article is corrected by:

  1. Errata: Erratum: Non-iterative and exact method for constraining particles in a linear geometry Volume 48, Issue 24, 2604–2605, Article first published online: 25 October 2010

Abstract

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, for example, 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. © 2005 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 43: 911-916, 2005

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