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A preconditioning scheme for minimum energy path finding methods.

Stela Makri1, Christoph Ortner2, James R Kermode1

  • 1Warwick Centre for Predictive Modelling, School of Engineering, University of Warwick, CV4 7AL Coventry, United Kingdom.

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Summary
This summary is machine-generated.

We present a new method to speed up calculations of transition paths in molecular simulations. By incorporating potential energy curvature, our approach significantly reduces computational costs for finding minimum energy paths.

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Area of Science:

  • Computational chemistry
  • Materials science
  • Molecular dynamics

Background:

  • Standard transition path finding methods like nudged elastic band and string methods often neglect potential energy curvature.
  • This omission leads to inefficient convergence to the minimum energy path, especially on complex potential energy surfaces.

Purpose of the Study:

  • To develop a more computationally efficient approach for identifying transition paths in molecular simulations.
  • To reduce the computational cost associated with transition path finding algorithms.

Main Methods:

  • A novel preconditioning scheme is introduced.
  • An adaptive time step selection algorithm is combined with the preconditioning scheme.
  • The approach is tested on vacancy and dislocation migration models.

Main Results:

  • The proposed method substantially reduces the computational cost of transition path finding.
  • Improved performance is demonstrated across various examples.
  • The method is effective for models using both interatomic potentials and density functional theory.

Conclusions:

  • The new preconditioning scheme and adaptive time step selection offer a significant computational advantage for transition path finding.
  • This approach enhances the efficiency of molecular simulations for studying processes like vacancy and dislocation migration.