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Obtaining reaction coordinates by likelihood maximization.

Baron Peters1, Bernhardt L Trout

  • 1Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

The Journal of Chemical Physics
|September 1, 2006
PubMed
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We developed a new computational method using transition path sampling to efficiently identify key reaction coordinates in complex systems. This approach requires fewer simulations and reveals surprising insights into nucleation dynamics.

Area of Science:

  • Computational Chemistry
  • Statistical Mechanics
  • Chemical Physics

Background:

  • Calculating reaction coordinates is crucial for understanding complex chemical and physical processes.
  • Existing methods often require extensive computational resources and may struggle with high-friction dynamics.
  • Identifying relevant collective variables is a key challenge in molecular simulations.

Purpose of the Study:

  • To introduce a novel, efficient method for determining reaction coordinates in complex systems.
  • To develop algorithms for improved transition path sampling and most likely path generation.
  • To investigate the role of surface area in nucleation reaction coordinates.

Main Methods:

  • The study employs transition path sampling and likelihood maximization.

Related Experiment Videos

  • A Bayesian information criterion is used to screen and select relevant collective variables.
  • The method is validated on a bistable potential and nucleation in the Ising model.

    • Main Results:

    • The new approach requires fewer trajectories compared to existing methods.
    • It successfully identifies reaction coordinates for both low and high friction dynamics.
    • For the first time, the influence of nuclei surface area on nucleation reaction coordinates is quantified.

    Conclusions:

    • The developed method offers a more efficient way to calculate reaction coordinates.
    • Nuclei surface area plays a contrasting role in 2D versus 3D nucleation stability.
    • This work provides new tools for analyzing complex molecular dynamics and phase transitions.