Wigner ensemble Monte Carlo simulation without splitting error of a GaAs resonant tunneling diode

被引：0
作者：
Orazio Muscato
机构：
[1] Università di Catania,Dipartimento di Matematica e Informatica
来源：
Journal of Computational Electronics | 2021年 / 20卷
关键词：
Quantum transport; Wigner transport equation; Direct simulation Monte Carlo; Resonant tunneling diode;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A Monte Carlo technique for the solution of the Wigner transport equation has been developed, based on the generation and annihilation of signed particles (Nedjalkov et al. in Phys Rev B 70:115319, 2004). A stochastic algorithm without time discretization error has been recently introduced (Muscato and Wagner in Kinet Relat Models 12(1):59–77, 2019). Its derivation is based on the theory of piecewise deterministic Markov processes. Numerical experiments are performed in the case of a GaAs resonant tunneling diode. Convergence of the time-splitting scheme to the no-splitting algorithm is demonstrated. The no-splitting algorithm is shown to be more efficient in terms of computational effort.
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页码：2062 / 2069
页数：7
相关论文
共 64 条
[1]  
de Put MLV(2017)Efficient solution of the Wigner-Liouville equation using a spectral decomposition of the force field J. Comput. Phys. 350 314-325
[2]  
Soree B(2015)A WENO-solver combined with adaptive momentum discretization for the Wigner transport equation and its application to resonant tunneling diodes J. Comput. Electron. 284 95-116
[3]  
Magnus W(2017)Analysis of lense-governed Wigner signed particle quantum dynamics Phys. Status Solidi RRL 11 1700102-118
[4]  
Dorda A(2006)Wigner function approach to nano device simulation Int. J. Comput. Sci. Eng. 2 100-1036
[5]  
Schürrer F(2017)Quantum transport simulation of nanowire resonant tunneling diodes based on a Wigner function model with spatially dependent effective masses IEEE Trans. Nanotechnol. 16 1028-388
[6]  
Ellinghaus P(2020)Comparing kinetic and MEP model of charge transport in graphene J. Comput. Theor. Transp. 49 368-250
[7]  
Weinbub J(2020)A hierarchy of macroscopic models for phonon transport in graphene Physica A 548 124489-30
[8]  
Nedjalkov M(2011)Wigner model for quantum transport in graphene J. Phys. A Math. Theor. 26 265301-A1507
[9]  
Selberherr S(2017)A benchmark study of the signed-particle Monte Carlo algorithm for the Wigner equation Commun. Appl. Ind. Math. 8 237-77
[10]  
Kosina H(2016)A hydrodynamic model for silicon nanowires based on the maximum entropy principle Entropy 18 368-37
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