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Inertial extended-Lagrangian scheme for solving charge equilibration models.

Itai Leven1, Teresa Head-Gordon

  • 1Kenneth S. Pitzer Center for Theoretical Chemistry, University of California Berkeley, Berkeley, California 94720, USA. thg@berkeley.edu.

Physical Chemistry Chemical Physics : PCCP
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The new inertial extended Lagrangian/self-consistent field (iEL-SCF) scheme significantly speeds up charge equilibration calculations in ReaxFF simulations. This method reduces self-consistent field cycles by 50-80% across various chemical systems.

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Area of Science:

  • Computational Chemistry
  • Materials Science
  • Molecular Dynamics

Background:

  • Accurate charge equilibration is crucial for reactive force field (ReaxFF) simulations.
  • The charge conservation constraint in ReaxFF necessitates solving complex linear equations at each time step.
  • Existing methods can be computationally intensive, limiting simulation efficiency.

Purpose of the Study:

  • To introduce and validate the inertial extended Lagrangian/self-consistent field (iEL-SCF) scheme for charge equilibration in LAMMPS.
  • To assess the efficiency improvements of iEL-SCF compared to traditional solvers.
  • To demonstrate the applicability of iEL-SCF across diverse chemical systems.

Main Methods:

  • Implementation of the iEL-SCF scheme within the LAMMPS molecular dynamics package.
  • Utilizing two auxiliary variables for intermediate charges as an initial guess.
  • Solving two sets of linear equations per time step to enforce charge conservation.
  • Testing the scheme on systems including water, ferric hydroxide, nitramine RDX, and hexanitrostilbene.

Main Results:

  • The iEL-SCF scheme successfully performs charge equilibration in ReaxFF simulations.
  • A significant reduction in self-consistent field (SCF) cycles was observed, ranging from 50% to 80%.
  • The efficiency gains were consistent across all tested diverse systems.

Conclusions:

  • The iEL-SCF scheme offers a substantial computational speed-up for ReaxFF simulations.
  • This improved efficiency facilitates larger and longer molecular dynamics simulations.
  • The iEL-SCF method presents a valuable advancement for computational chemistry and materials science research.