半导体电子通过声学声子的流体动力学热输运弛豫时间
Hydrodynamical thermotransport relaxation times of semiconductor electrons via acoustic phonons
摘要：
提出了一个研究半导体电子热输运性质的流体力学模型。从半经典玻尔兹曼方程出发，建立了相应场的平衡方程组。电子密度、电子能量密度、电流密度和热流密度被认为是直接输运和交叉效应通量的基本场。通过考虑电子-声学声子相互作用作为主导的微观散射过程，计算了产生项的动力学弛豫时间。为了证明长时间热化机制的合理性，在完全退化和非退化极限下证明了Onsager对称性关系。
英文摘要：
We propose a hydrodynamic model to study the thermotransport properties of semiconductor electrons. From the semiclassical Boltzmann equation a set of balance equations is built for the relevant fields. The electron density, the electron energy density, the electric current density and the heat flux density are considered as the basic fields of direct transport and cross effect fluxes. The kinetic relaxation times of the production terms are calculated by considering the electron-acoustic phonon interaction as the leading microscopic scattering process. To justify the long time thermalization regime, the Onsager symmetry relations are proved, both on the completely degenerate and non degenerate limits.
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