NDLI: Efficient ohmic boundary conditions for the Monte Carlo simulation of electron transport

Content Provider	IEEE Xplore Digital Library
Author	Woolard, D.L. Hong Tian Littlejohn, M.A. Kim, K.W.
Copyright Year	1963
Abstract	The development of macroscopic transport models, accurate for studying hot-electron transport in semiconductors, involves a direct consideration of higher-moment terms. All hydrodynamic transport models (HTM's), derived from moments of the Boltzmann transport equation, require the introduction of closure relations to terminate the resulting infinite set of macroscopic equations. These closure relations are used as analytical approximations to distributional-dependent integral coefficients. The most popular theoretical approach employed for the construction and evaluation of these higher-moment transport-parameter closures is the Monte Carlo (MC) method. Since the MC method is computationally intensive, the discovery and implementation of efficient MC modeling techniques (either numerical or physical) is of significant value. This paper reports on a relationship between device boundary conditions and the convergence range of higher-moment terms in time-independent MC simulations. Specifically, a set of ohmic BC's which offer computational advantages is presented. This particular mathematical approach, which allows for two degrees of freedom, is shown to be more efficient in generating the full electron distribution function than conventional BC methods (i.e., strictly equilibrium-based).<>
Sponsorship	IEEE Electron Devices Society
Starting Page	601
Ending Page	606
Page Count	6
File Size	737894
File Format	PDF
ISSN	00189383
Volume Number	41
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-04-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Boundary conditions Hydrodynamics Boltzmann equation Termination of employment Integral equations Monte Carlo methods Physics computing Numerical models Convergence Computational modeling
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering

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