Abstract
The smooth quantum hydrodynamic (QHD) model is derived from a moment expansion of the Wigner-Boltzmann equation, using a quantum Maxwellian to close the moments. The smooth QHD model reproduces the original O(ħ2) QHD model for small ħ2. Both QHD models have hyperbolic, dispersive, and parabolic modes. Numerical simulations of a resonant tunneling diode are presented, using a steady-state conservative upwind method.
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© 2004 Springer Science+Business Media New York
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Gardner, C.L., Ringhofer, C. (2004). Dispersive/Hyperbolic Hydrodynamic Models for Quantum Transport (In Semiconductor Devices). In: Abdallah, N.B., et al. Dispersive Transport Equations and Multiscale Models. The IMA Volumes in Mathematics and its Applications, vol 136. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8935-2_6
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DOI: https://doi.org/10.1007/978-1-4419-8935-2_6
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