scholarly journals A high order multi-resolution WENO numerical scheme for solving viscous quantum hydrodynamic model for semiconductor devices

2021 ◽  
pp. 104078
Author(s):  
Tauqeer Ahmed ◽  
Asad Rehman ◽  
Ashiq Ali ◽  
Shamsul Qamar
Keyword(s):  
Hydrodynamic Model ◽  
Numerical Scheme ◽  
Semiconductor Devices ◽  
High Order ◽  
Quantum Hydrodynamic Model ◽  
Quantum Hydrodynamic

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

VLSI Design ◽  
2000 ◽  
Vol 10 (4) ◽  
pp. 415-435 ◽  
Author(s):  
Carl L. Gardner ◽  
Christian Ringhofer
Keyword(s):  
Heat Flux ◽  
Boltzmann Equation ◽  
Potential Energy ◽  
Hydrodynamic Model ◽  
Semiconductor Devices ◽  
Quantum Hydrodynamic Model ◽  
Qhd Model ◽  
Quantum Hydrodynamic ◽  
Classical Potential ◽  
Quantum Semiconductor

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.

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