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The Chapman-Enskog Expansion and the Quantum Hydrodynamic Model for Semiconductor Devices

摘要


A "smooth" quantum hydrodynamic (QHD) model for semiconductor devices is derived by a Chapman-Enskog expansion of the Wigner-Boltzmann equation which can handle in a mathematically rigorous way the discontinuities in the classical potential energy which occur at heterojunction barriers in quantum semiconductor devices. A dispersive quantum contribution to the heat flux term in the QHD model is introduced.

被引用紀錄


Diaz, M. A. (2015). 半古典波茲曼 BGK 方程式之任意統計稀薄流模擬 [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2015.00509
Muljadi, B. P. (2012). 量子統計稀薄氣體直接解法研究 [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2012.10923
Chang, J. P. (2005). 半導體中QDD模型的數值方法 [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2005.00785

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