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A diffusion Monte Carlo method for charge density on a conducting surface at non-constant potentials

Author

Listed:
  • Yu Unjong
  • Jang Hoseung

    (Department of Physics and Photon Science, Gwangju Institute of Science and Technology, Gwangju Metropolitan City61005, South Korea)

  • Hwang Chi-Ok

    (Division of Liberal Arts and Sciences, GIST College, Gwangju Institute of Science and Technology, Gwangju Metropolitan City61005, South Korea)

Abstract

We develop a last-passage Monte Carlo algorithm on a conducting surface at non-constant potentials. In the previous researches, last-passage Monte Carlo algorithms on conducting surfaces with a constant potential have been developed for charge density at a specific point or on a finite region and a hybrid BIE-WOS algorithm for charge density on a conducting surface at non-constant potentials. In the hybrid BIE-WOS algorithm, they used a deterministic method for the contribution from the lower non-constant potential surface. In this paper, we modify the hybrid BIE-WOS algorithm to a last-passage Monte Carlo algorithm on a conducting surface at non-constant potentials, where we can avoid the singularities on the non-constant potential surface very naturally. We demonstrate the last-passage Monte Carlo algorithm for charge densities on a circular disk and the four rectangle plates with a simple voltage distribution, and update the corner singularities on the unit square plate and cube.

Suggested Citation

  • Yu Unjong & Jang Hoseung & Hwang Chi-Ok, 2021. "A diffusion Monte Carlo method for charge density on a conducting surface at non-constant potentials," Monte Carlo Methods and Applications, De Gruyter, vol. 27(4), pages 315-324, December.
    • Handle: RePEc:bpj:mcmeap:v:27:y:2021:i:4:p:315-324:n:5
    DOI: 10.1515/mcma-2021-2098
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