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Maximizing the Directional Derivative01:25

Maximizing the Directional Derivative

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Differential Form of Maxwell's Equations01:17

Differential Form of Maxwell's Equations

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Biasing of P-N Junction01:16

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The Power Flow Problem and Solution

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Potential Due to a Polarized Object01:29

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Related Experiment Video

Updated: Jul 9, 2026

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators
11:44

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators

Published on: August 15, 2014

A Jacobian-corrected minimum-mode following bias potential for hyperdynamics.

Lixiang Qian1,2,3, Liang Zhang1,2,3

  • 1Center for Combustion Energy, Tsinghua University, Beijing 100084, China.

The Journal of Chemical Physics
|July 8, 2026
PubMed
Summary

This study introduces Jacobian-corrected minimum-mode following (J-MMF) to accelerate rare-event molecular dynamics simulations. J-MMF enhances accuracy and consistency in complex atomistic systems.

Related Experiment Videos

Last Updated: Jul 9, 2026

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators
11:44

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators

Published on: August 15, 2014

Area of Science:

  • Computational Physics
  • Materials Science
  • Chemical Physics

Background:

  • Rare-event molecular dynamics simulations face limitations due to timescale separation.
  • Hyperdynamics accelerates these processes using bias potentials but can face inconsistencies.

Purpose of the Study:

  • To develop an improved method for rare-event molecular dynamics simulations.
  • To enhance the accuracy and consistency of the minimum-mode following (MMF) formulation.

Main Methods:

  • Developed a Jacobian-corrected MMF (J-MMF) method.
  • Introduced a path-informed semi-analytical Jacobian and orthogonal projection.
  • Avoided additional force evaluations by utilizing sequential minimum-mode vector evolution.

Main Results:

  • J-MMF demonstrated improved accuracy and consistency in simulations.
  • Benchmark simulations of adatom diffusion on Cu(100) showed robust acceleration.
  • The acceleration was largely independent of system size (1-201 atoms).

Conclusions:

  • J-MMF offers a scalable and consistent framework for rare-event simulations.
  • The method overcomes limitations of standard MMF in high-dimensional systems.
  • J-MMF preserves correct transition kinetics while accelerating simulations.