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本文从玻尔兹输运方程出发,经过积分变换,导出了异质结构流体动力学输运模型(HHTM)方程组。它包括三个方程,即连续性方程、动量守恒方程和能量守恒方程。这组方程可用来处理异质结构中的高场输运问题。当异质结构参数为零时,HHTM蜕化为同质结构高场输运模型──Bltekjoer模型;另一方面,在低场极限下,HHTM又可简化为异质结构的漂移扩散模型。HHTM既包含了异质结效应,又包含了高场输运中的速度过冲等非稳态输运效应。同时,其计算时间又比MonteCarlo方法短得多,是一种处理异质结高场输运问题的有效方法。基于HHTM,建立了一个HBT的一维分析模型,计算机模拟结果与实验符合良好。
Based on the Boltzmann transport equation, the HHTM equations of the heterostructured hydrodynamic transport model (HHTM) are derived through integral transformation. It includes three equations, namely continuity equation, momentum conservation equation and energy conservation equation. This set of equations can be used to deal with high-field transport problems in heterogeneous structures. When the heterogeneous structure parameter is zero, HHTM degenerates into the homogeneous structure high-field transport model-Blitekjoer model. On the other hand, HHTM can be simplified as the heterodyne drift diffusion model under the low field limit. HHTM not only includes the heterojunction effect, but also includes the non-steady-state transport effects such as speed overshoot in high-field transport. At the same time, its calculation time is much shorter than Monte Carlo method, which is an effective method to deal with the heterogeneity high field transport problem. Based on HHTM, a one-dimensional analysis model of HBT is established, and the result of computer simulation is in good agreement with the experiment.