Theory and Simulation of the Smooth Quantum Hydrodynamic Model | Zendy

Carl L. Gardner | Zendy

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Theory and Simulation of the Smooth Quantum Hydrodynamic Model

Author(s) -

Carl L. Gardner

Publication year - 1998

Publication title -

vlsi design

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.123

H-Index - 24

eISSN - 1065-514X

pISSN - 1026-7123

DOI - 10.1155/1999/76568

Subject(s) - quantum hydrodynamics , classification of discontinuities , quantum tunnelling , quantum , physics , spurious relationship , shock (circulatory) , statistical physics , classical mechanics , quantum mechanics , mathematics , mathematical analysis , medicine , statistics

The “smooth” quantum hydrodynamic (QHD) model is derived specifically to handlein a mathematically rigorous way the discontinuities in the classical potential energywhich occur at heterojunction barriers in quantum semiconductor devices. Smooth QHDmodel simulations of the resonant tunneling diode are presented which exhibit enhancednegative differential resistance when compared with simulations using the original O(ħ2)QHD model. In addition, smooth QHD simulations of a classical electron shock wave arepresented which agree with classical hydrodynamic model simulations and which do notexhibit the spurious dispersive oscillations of the O(ħ2) QHD model

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