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Rate constants for diffusive processes by partial path sampling.

Daniele Moroni1, Peter G Bolhuis, Titus S van Erp

  • 1Department of Chemical Engineering, Universiteit van Amsterdam, Nieuwe Achtergracht 166, 1018 WV Amsterdam, The Netherlands.

The Journal of Chemical Physics
|July 23, 2004
PubMed
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We present a new path sampling method for calculating rate constants in complex, diffusive systems. This technique improves computational efficiency by analyzing only portions of transition trajectories, outperforming the transition interface sampling (TIS) algorithm.

Area of Science:

  • Computational Chemistry
  • Chemical Dynamics
  • Statistical Mechanics

Background:

  • Calculating rate constants for complex systems with high diffusion is computationally challenging.
  • Existing methods like transition interface sampling (TIS) can be inefficient for such systems.

Purpose of the Study:

  • Introduce a more efficient path sampling method for computing rate constants in highly diffusive systems.
  • Improve computational efficiency compared to existing algorithms.

Main Methods:

  • Developed a partial path sampling technique based on the transition interface sampling (TIS) algorithm.
  • Assumes memory loss for diffusive progression along the reaction coordinate.
  • Compared the new method to TIS using a simple diatomic system.

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Main Results:

  • The new partial path method demonstrates increased efficiency by sampling only segments of transition trajectories.
  • Computational effort scales linearly with the diffusive barrier width, compared to quadratic scaling for TIS.
  • The validity of the memory loss assumption was investigated.

Conclusions:

  • The partial path sampling method offers a significant computational advantage for rate constant calculations in complex, diffusive systems.
  • This approach provides a more efficient alternative to TIS for specific chemical dynamics problems.
  • Further analysis confirmed the applicability and efficiency gains under the memory loss assumption.