## Abstract A finite difference upwind discretization scheme in two dimensions is presented in detail for the transient simulation of the highly coupled non‐linear partial differential equations of the full hydrodynamic model, providing thereby a practical engineering tool for improved charge carri
Time-domain simulation of the full hydrodynamic model
✍ Scribed by Andreas Aste; Rüdiger Vahldieck
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 176 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0894-3370
- DOI
- 10.1002/jnm.491
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✦ Synopsis
Abstract
A simple upwind discretization of the highly coupled non‐linear differential equations which define the hydrodynamic model for semiconductors is given in full detail. The hydrodynamic model is able to describe inertia effects which play an increasing role in different fields of opto‐ and microelectronics. A silicon n^+^−n−n^+^‐structure is simulated, using the energy‐balance model and the full hydrodynamic model. Results for stationary cases are then compared, and it is pointed out where the energy‐balance model, which is implemented in most of today's commercial semiconductor device simulators, fails to describe accurately the electron dynamics. Additionally, a GaAs n^+^−n−n^+^‐structure is simulated in time domain in order to illustrate the importance of inertia effects at high frequencies in modern submicron devices. Copyright © 2003 John Wiley & Sons, Ltd.
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