Stochastic simulation of electron-hole recombination in two-dimensional and three-dimensional inhomogeneous semiconductors. Part I. Stochastic model and algorithms

被引:0
|
作者
Sabelfeld K.K. [1 ]
Kireeva A.E. [1 ]
机构
[1] Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’ev 6, Novosibirsk
关键词
cellular automation; diffusion; recombination; semiconductor; stochastic simulation; tunneling;
D O I
10.3103/S8756699017010149
中图分类号
学科分类号
摘要
This paper describes the stochastic models of electron-hole recombination in inhomogeneous semiconductors in two-dimensional and three-dimensional cases, which were developed on the basis of discrete (cellular automation) and continuous (Monte Carlo method) approaches. The mathematical model of electron-hole recombination, constructed on the basis of a system of spatially inhomogeneous nonlinear integro-differential Smoluchowski equations, is illustrated. The continuous algorithm of the Monte Carlo method and the discrete cellular automation algorithm used for the simulation of particle recombination in semiconductors are shown. © 2017, Allerton Press, Inc.
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页码:96 / 102
页数:6
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