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Smart darting diffusion Monte Carlo: Applications to lithium ion-Stockmayer clusters.

H M Christensen1, L C Jake1, E Curotto1

  • 1Department of Chemistry and Physics, Arcadia University, Glenside, Pennsylvania 19038-3295, USA.

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Smart darting moves in Diffusion Monte Carlo (DMC) simulations can introduce bias. A new method eliminates this bias, improving the reliability of ground state mixed-distributions in bosonic systems, especially for larger clusters.

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Area of Science:

  • Computational physics
  • Quantum chemistry
  • Statistical mechanics

Background:

  • Diffusion Monte Carlo (DMC) simulations are crucial for studying bosonic systems.
  • Traditional DMC can face sampling challenges with complex potentials, leading to quasiergodicity.
  • Smart darting moves were previously introduced to enhance DMC sampling efficiency.

Purpose of the Study:

  • To systematically characterize the bias introduced by smart darting moves in DMC.
  • To develop and test a method for eliminating this bias in ground state energy estimations.
  • To investigate the impact of smart darting moves on mixed-distributions for lithium ion-n-dipoles clusters.

Main Methods:

  • Characterization of bias in Diffusion Monte Carlo (DMC) using smart darting moves.
  • Application of a bias-elimination approach to ground state energy calculations.
  • Simulation of lithium ion-n-dipoles clusters (n = 8-20) using modified DMC.

Main Results:

  • Smart darting moves introduce a bias in the estimation of ground state energy for bosonic systems.
  • A novel approach successfully eliminates the bias associated with smart darting moves.
  • For lithium ion-n-dipoles clusters, ground state energies match traditional DMC for n < 14.
  • Larger clusters show quantitative agreement in ground state energies but differing mixed-distributions.

Conclusions:

  • The developed method effectively removes bias from smart darting DMC simulations.
  • Smart darting moves may yield more reliable ground state mixed-distributions compared to traditional DMC.
  • This work advances the accuracy of quantum simulations for complex systems.