AI 中文总结
本文针对光滑量子流体动力学模型提出一种简单正则化方法，替换动量守恒方程中的电子密度空间导数，经模拟验证可使共振隧穿二极管的电流-电压曲线呈现合理特性，且与全量子力学模拟结果吻合。
AI 中文摘要
本文提出了一种对光滑量子流体动力学模型方程的简单正则化方法，以防止不稳定增长模式。该正则化方法是用电子密度的经典玻尔兹曼分布替换动量守恒方程右侧电子密度的空间导数。本文展示了使用该正则化方法对共振隧穿二极管进行的时变稳态模拟，其电流-电压曲线呈现出符合量子共振实验信号的现实负微分电阻和滞后现象，且该模拟结果与共振隧穿二极管的全量子力学模拟结果吻合良好。
英文摘要
A simple regularization of the smooth quantum hydrodynamic model equations to prevent an unstable growing mode is proposed. The regularization involves replacing the spatial derivative of the electron density on the right-hand side of the momentum conservation equation by using the classical Boltzmann distribution for electron density. Time-dependent simulations of the resonant tunneling diode to steady state using this regularization are presented, which show realistic negative differential resistance (the experimental signal of quantum resonance) and hysteresis in the current-voltage curve. The simulations are in good agreement with fully quantum mechanical simulations of the resonant tunneling diode.
Comments19 pages,
