An extended hydrodynamic model for silicon nano wires

O. Muscato, V. Stefano
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Abstract

We present an extended hydrodynamic model describing the transport of electrons in the axial direction of a silicon nanowire. This model has been formulated by closing the moment system derived from the Boltzmann equations on the basis of the maximum entropy principle of Extended Thermodynamics, coupled to the Effective Mass and Poisson equations. Explicit closure relations for the high-order fluxes and the production terms are obtained without any fitting procedure, including scattering of electrons with acoustic and non polar optical phonons. By using this model, thermoelectric effects have been investigated.
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硅纳米线的扩展流体力学模型
我们提出了一个扩展的流体力学模型来描述电子在硅纳米线的轴向输运。该模型是在扩展热力学的最大熵原理的基础上,通过封闭由玻尔兹曼方程导出的力矩系统,结合有效质量方程和泊松方程而形成的。在没有任何拟合程序的情况下,得到了高阶通量和产生项的显式闭合关系,包括电子与声学和非极性光学声子的散射。利用该模型,研究了热电效应。
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