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Improved local lattice Monte Carlo simulation for charged systems.

Jian Jiang1, Zhen-Gang Wang1

  • 1Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA.

The Journal of Chemical Physics
|March 24, 2018
PubMed
Summary

This study enhances a Monte Carlo simulation for charged systems by improving particle move acceptance rates and electric field sampling. The refined method accurately models electrolyte behavior between dielectric plates.

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Area of Science:

  • Computational physics
  • Statistical mechanics
  • Condensed matter physics

Background:

  • A previous O(N) local lattice Monte Carlo algorithm exists for charged systems.
  • This algorithm uses particle configuration and electric field degrees of freedom.
  • Implementation challenges include acceptance rates and electric field ergodicity.

Purpose of the Study:

  • To address key implementation issues in the Maggs and Rossetto algorithm.
  • To improve the acceptance rate of particle moves.
  • To ensure full ergodicity of the electric field phase space.

Main Methods:

  • Proposed a method to enhance particle move acceptance using the superposition principle.
  • Introduced an "open-circuit update" for electric field to ensure ergodicity.
  • Applied the improved simulation to an electrolyte solution between dielectric plates.

Main Results:

  • The enhanced algorithm shows improved particle move acceptance.
  • The "open-circuit update" ensures full phase space ergodicity.
  • Simulations of confined electrolytes show excellent agreement with theory.

Conclusions:

  • The improved Monte Carlo algorithm is effective for simulating charged systems.
  • The enhancements address critical implementation issues, increasing reliability.
  • This work validates the method for confined electrolyte systems.