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

来源：

Optoelectronics, Instrumentation and Data Processing | 2017年 / 53卷 / 1期

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.

引用

页码：96 / 102

页数：6

共 50 条

[21] Stochastic simulation of bimolecular reactions in vicinity of traps and applications to electron–hole recombination in 2D and 3D inhomogeneous semiconductors
Karl K. Sabelfeld
Anastasiya Kireeva
Journal of Computational Electronics, 2017, 16 : 325 - 339
[22] Adaptive phase-retrieval stochastic reconstruction with correlation functions: Three-dimensional images from two-dimensional cuts
Cherkasov, Aleksei
Ananev, Andrey
Karsanina, Marina
Khlyupin, Aleksey
Gerke, Kirill
PHYSICAL REVIEW E, 2021, 104 (03)
[23] A simulation model of biofilms with autonomous cells: I. Analysis of a two-dimensional version
Tatek, YB
Slater, GW
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 362 (02) : 382 - 402
[24] Three-Dimensional Thermohydrodynamic Morton Effect Simulation-Part I: Theoretical Model
Suh, Junho
Palazzolo, Alan
JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME, 2014, 136 (03):
[25] Analysis of turbulent flow in channels roughened by two-dimensional ribs and three-dimensional blocks. Part I: Resistance
Ryu, D. N.
Choi, D. H.
Patel, V. C.
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 2007, 28 (05) : 1098 - 1111
[26] Two-dimensional theories deduced from three-dimensional theory for a transversely isotropic body. I. Plate problems
Wang, Fei-Yue
1600, (26):
[27] A three-dimensional stochastic progressive damage simulation model for polymer matrix-based laminate composites
Choi, Hoil
Jung, Seungwoo
Zhang, Chao
Yun, Gun Jin
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2022, 29 (05) : 633 - 650
[28] Three-dimensional extended nonlocal photopolymerization driven diffusion model. Part I. Absorption
Li, Haoyu
Qi, Yue
Sheridan, John T.
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2014, 31 (11) : 2638 - 2647
[29] Three-dimensional mathematical model of electromagnetic casting and testing against a physical model: Part I. The mathematical model
Cook, D.P.
Evans, J.W.
Metallurgical and Materials Transactions B: Process Metallurgy and Materials Processing Science, 1995, 26 (06): : 1263 - 1270
[30] Numerical Simulation of Three-Dimensional Dendritic Growth of Alloy: Part I—Model Development and Test
Weiling Wang
Sen Luo
Miaoyong Zhu
Metallurgical and Materials Transactions A, 2016, 47 : 1339 - 1354

← 1 2 3 4 5 →