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

Yu Unjong (), Jang Hoseung () and Hwang Chi-Ok ()
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Yu Unjong: Department of Physics and Photon Science, Gwangju Institute of Science and Technology, Gwangju Metropolitan City 61005, South Korea
Jang Hoseung: Department of Physics and Photon Science, Gwangju Institute of Science and Technology, Gwangju Metropolitan City 61005, South Korea
Hwang Chi-Ok: Division of Liberal Arts and Sciences, GIST College, Gwangju Institute of Science and Technology, Gwangju Metropolitan City 61005, South Korea

Monte Carlo Methods and Applications, 2021, vol. 27, issue 4, 315-324

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.

Keywords: Diffusion Monte Carlo; flat conducting surface; non-constant potential; corner singularity (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1515/mcma-2021-2098

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