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A global reaction route mapping-based kinetic Monte Carlo algorithm.

Izaac Mitchell1, Stephan Irle2, Alister J Page1

  • 1Newcastle Institute for Energy and Resources, The University of Newcastle, Callaghan 2308, Australia.

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Summary
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A new kinetic Monte Carlo (KMC) method combines global reaction route mapping (GRRM) with exhaustive potential energy surface searching. This GRRM-KMC approach accurately models chemical kinetics for complex systems.

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Area of Science:

  • Computational Chemistry
  • Chemical Kinetics
  • Materials Science

Background:

  • Accurate simulation of chemical reaction pathways and kinetics is crucial for understanding molecular dynamics and material properties.
  • Traditional kinetic Monte Carlo (KMC) methods often rely on predefined pathways, limiting their ability to explore complex potential energy surfaces.
  • Efficient exploration of potential energy surfaces is needed to capture all relevant reaction channels and transition states.

Purpose of the Study:

  • To develop and validate a novel on-the-fly kinetic Monte Carlo (KMC) method integrated with global reaction route mapping (GRRM).
  • To enable comprehensive exploration of potential energy surfaces for accurate kinetic simulations.
  • To demonstrate the method's capability in simulating complex chemical processes.

Main Methods:

  • The proposed GRRM-KMC algorithm performs an exhaustive search of the potential energy surface starting from an equilibrium state.
  • It identifies all adjacent transition states using GRRM, calculates intrinsic reaction coordinate pathways to subsequent equilibrium states, and determines rate constants via harmonic transition state theory.
  • A standard KMC accept/reject step selects the next pathway, propagating the system forward based on first-order kinetics.

Main Results:

  • The GRRM-KMC algorithm successfully reproduced first-order kinetics in two challenging test cases: intramolecular proton transfer in malonaldehyde and surface carbon diffusion on an iron nanoparticle.
  • The simulation results aligned with independent quantum chemical molecular dynamics simulations using density-functional tight-binding potentials.
  • This demonstrates the method's robustness and accuracy in capturing complex kinetic behaviors.

Conclusions:

  • The GRRM-KMC method provides a powerful and accurate approach for on-the-fly kinetic simulations.
  • It enables comprehensive exploration of reaction pathways and transition states, overcoming limitations of traditional KMC methods.
  • This validated algorithm is suitable for studying complex chemical kinetics in various systems, from molecular transfers to surface diffusion.