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

Autor:	Hoseung Jang, Unjong Yu, Chi-Ok Hwang
Rok vydání:	2021
Předmět:	Statistics and Probability Surface (mathematics) Materials science Applied Mathematics Charge density Diffusion Monte Carlo Constant (mathematics) Molecular physics
Zdroj:	Monte Carlo Methods and Applications. 27:315-324
ISSN:	1569-3961 0929-9629
DOI:	10.1515/mcma-2021-2098
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::62e120c298367f35dac3db13fbe36ea2 https://doi.org/10.1515/mcma-2021-2098 Zobrazit plný text záznamu