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Time-reversible molecular dynamics algorithms with bond constraints.

Søren Toxvaerd1, Ole J Heilmann, Trond Ingebrigtsen

  • 1Department of Sciences, DNRF Centre Glass and Time, IMFUFA, Roskilde University, P.O. Box 260, DK-4000 Roskilde, Denmark. st@ruc.dk

The Journal of Chemical Physics
|August 21, 2009
PubMed
Summary
This summary is machine-generated.

New molecular dynamics algorithms ensure time reversibility for systems with bond constraints. These stable algorithms accurately simulate molecular behavior, validated against established methods.

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Area of Science:

  • Computational Chemistry
  • Molecular Dynamics Simulation
  • Physical Chemistry

Background:

  • Molecular dynamics (MD) simulations are crucial for understanding molecular behavior.
  • Implementing bond constraints in MD algorithms can improve efficiency and accuracy.
  • Ensuring time reversibility is essential for the validity of simulation results.

Purpose of the Study:

  • To derive novel time-reversible molecular dynamics algorithms incorporating bond constraints.
  • To assess the stability and precision of these algorithms across different computational settings.
  • To validate the accuracy of the derived algorithms against established simulation packages.

Main Methods:

  • Development of time-reversible MD algorithms using Gauss' principle of least constraint.
  • Application of a central-difference expression for velocities to achieve time symmetry.
  • Solving coupled quadratic equations for Lagrange multipliers via an iterative scheme.
  • Testing algorithms on a Toluene dumbbell model and a complex four-constraint system.

Main Results:

  • Algorithms demonstrate stability with and without thermostats, in both single and double precision.
  • The iterative scheme effectively solves complex constraint equations.
  • Simulations of a Toluene dumbbell model show perfect agreement with GROMACS results for equilibrium particle distributions and mean-square displacements.
  • The methods are applicable to complex molecular systems with multiple connected constraints.

Conclusions:

  • The derived time-reversible MD algorithms are robust and accurate for systems with bond constraints.
  • These algorithms offer a reliable method for simulating molecular dynamics, particularly for complex molecules.
  • The perfect agreement with GROMACS validates the new algorithms for computational chemistry applications.