Nano Science and Technology Institute
Nanotech 2004 Vol. 2
Nanotech 2004 Vol. 2
Technical Proceedings of the 2004 NSTI Nanotechnology Conference and Trade Show, Volume 2
Chapter 8: Computational Methods and Numerics

Corner Charge Singularity of Conductors

Authors:C-O Hwang and J.A. Given
Affilation:Inha University, KR
Pages:478 - 481
Keywords:singularity, WOP, first-passage, Monte Carlo
Abstract:In this paper, we investigate a diffusion-based simulation method for the corner singularity of a conducting object, rapidly evaluating the power-law singularity associated with the corner of the conducting object for the computation of capacitance coefficients for VLSI interconnection systems. We note that our method here is entirely consistent with that of the previous researchers, Y. Zhang and A. H. Zemanian. Furthermore, it should be noted that our method for determining corner singularities is completely general; it is not limited to the 3-D rectangular corner geometry. This method is demonstrated in the solution of a benchmark problem: the charge singularity at the corner of a conducting cube.
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