Simulation of an Diode by Using Globally-Hyperbolically-Closed High-Order Moment Models | |
Hu, Zhicheng ; Li, Ruo ; Lu, Tiao ; Wang, Yanli ; Yao, Wenqi | |
2014 | |
关键词 | High-order moment equations Boltzmann transport equation Extended hydrodynamic models Semiconductor device simulation BOLTZMANN-EQUATION DEVICE SIMULATIONS MONTE-CARLO SEMICONDUCTORS ELECTRONS |
英文摘要 | By the moment closure of the Boltzmann transport equation, the extended hydrodynamic models for electron transport have been derived in Cai et al. (J Math Phys 53:103503, 2012). With the numerical scheme developed in Li et al. (2012) recently, it has been demonstrated that the derived extended hydrodynamic models can capture the major features of the solution of kinetic equations. As the application of the models and the numerical scheme proposed therein, we in this paper carry out the numerical simulation to investigate the carrier transport in -- structures by solving the moment system derived from the Boltzmann-Poisson equations. Without any additional empirical parameters than that used in directly solving the kinetic equations, we obtain numerical results by the extended hydrodynamic models with very satisfied agreement with the solution of the kinetic equations, even in case that the length of the channel is as short as 50 nm.; Mathematics, Applied; SCI(E); EI; 1; ARTICLE; huzhicheng1986@gmail.com; rli@math.pku.edu.cn; tlu@math.pku.edu.cn; wangyanliwyl@gmail.com; albee0926@sina.com; 3; 761-774; 59 |
语种 | 英语 |
出处 | SCI ; EI |
出版者 | journal of scientific computing |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/157362] ![]() |
专题 | 数学科学学院 工学院 |
推荐引用方式 GB/T 7714 | Hu, Zhicheng,Li, Ruo,Lu, Tiao,et al. Simulation of an Diode by Using Globally-Hyperbolically-Closed High-Order Moment Models. 2014-01-01. |
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