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Related Experiment Video

Updated: May 12, 2026

Finite Element Analysis Model for Assessing Expansion Patterns from Surgically Assisted Rapid Palatal Expansion
07:16

Finite Element Analysis Model for Assessing Expansion Patterns from Surgically Assisted Rapid Palatal Expansion

Published on: October 20, 2023

A climbing string method for saddle point search.

Weiqing Ren1, Eric Vanden-Eijnden

  • 1Department of Mathematics, National University of Singapore, and Institute of High Performance Computing, Agency for Science, Technology and Research, Singapore. matrw@nus.edu.sg

The Journal of Chemical Physics
|April 12, 2013
PubMed
Summary
This summary is machine-generated.

This study modifies the string method to efficiently locate saddle points on potential energy landscapes. The enhanced approach uses gradient flow and a climbing image to converge on minimum energy paths (MEPs).

Related Experiment Videos

Last Updated: May 12, 2026

Finite Element Analysis Model for Assessing Expansion Patterns from Surgically Assisted Rapid Palatal Expansion
07:16

Finite Element Analysis Model for Assessing Expansion Patterns from Surgically Assisted Rapid Palatal Expansion

Published on: October 20, 2023

Area of Science:

  • Computational Chemistry
  • Materials Science
  • Chemical Physics

Background:

  • Calculating minimum energy paths (MEPs) is crucial for understanding chemical reactions and material properties.
  • Existing methods for finding saddle points can be computationally intensive and may struggle with complex potential energy landscapes.

Purpose of the Study:

  • To develop a modified string method for efficiently computing saddle points on potential energy landscapes.
  • To utilize the location of a minimum as the sole input for locating adjacent saddle points.

Main Methods:

  • The original string method is adapted using gradient flow in path space.
  • One endpoint of the string is fixed at a known minimum.
  • The other endpoint (climbing image) moves towards a saddle point with a reversed potential force component along the string's tangent.

Main Results:

  • The modified string method successfully converges to minimum energy paths (MEPs) connecting a minimum to a saddle point.
  • The climbing image evolution is monitored, preventing escape from the basin of attraction.
  • An inexact Newton method can accelerate convergence in later stages.

Conclusions:

  • The modified string method provides a robust and efficient approach for saddle point identification.
  • This method enhances the capability to explore reaction pathways and transition states in complex systems.
  • The approach shows promise, as demonstrated by its application to a 7-atom cluster system.