Analysis of the viscous quantum hydrodynamic equations for semiconductors
✍ Scribed by GUALDINI, MARIA PIA; JÜNGEL, ANSGAR
- Book ID
- 118239514
- Publisher
- Cambridge University Press
- Year
- 2004
- Tongue
- English
- Weight
- 577 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0956-7925
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## Abstract We study the viscous model of quantum hydrodynamics in a bounded domain of space dimension 1, 2, or 3, and in the full one‐dimensional space. This model is a mixed‐order partial differential system with nonlocal and nonlinear terms for the particle density, current density, and electric
The quantum hydrodynamic model is primary used for the simulation of resonant tunneling diodes. The current-voltage characteristics of these diodes show negative differential resistance (NDR) effects. For two simplified one-dimensional quantum models derived by means of asymptotic analysis, explicit