声子的介观水热力学
Mesoscopic Hydro-Thermodynamics of Phonons
摘要：
本文提出了半导体中声子的广义流体力学，简称介观流体热力学。它包括对准粒子密度和能量密度运动的描述。的流体动力学方程，通过热弹性过程耦合两种类型的运动，推导出一个广义的Peierls-Boltzmann动力学方程的框架中获得的非平衡统计Enhancement形式主义，提供这样的介观水热动力学。对一阶相关变量收缩的情形进行了详细的计算。相关的麦克斯韦时间的推导和讨论。准粒子密度和能量密度满足耦合的Maxwell-Cattaneo双曲型方程。对热弹性效应进行了分析，并将其应用于研究自由电子激光（FEL）装置中高强度X光脉冲入射下硅反射镜的热变形。导出了一个广义的Guyer-Krumhansl方程，该方程控制热通量和相关的传导系数。
英文摘要：
A generalized Hydrodynamics, referred to as Mesoscopic Hydro-Thermodynamics, of phonons in semiconductors is presented. It involves the descriptions of the motion of the quasi-particle density and of the energy density. The hydrodynamic equations, which couple both types of movement via thermo-elastic processes, are derived starting with a generalized Peierls-Boltzmann kinetic equation obtained in the framework of a Non-Equilibrium Statistical Ensemble Formalism, providing such a Mesoscopic Hydro-Thermodynamics. The case of a contraction in first order relevant variables is worked out in detail. The associated Maxwell times are derived and discussed. The densities of quasi-particles and of energy are found to satisfy coupled Maxwell-Cattaneo-like hyperbolic equations. The analysis of thermo-elastic effects is done and applied to investigate thermal distortion in silicon mirrors under incidence of high intensity X-ray pulses in free electron laser (FEL) facilities. The derivation of a generalized Guyer-Krumhansl equation governing the flux of heat and the associated conductivity coefficient is also presented.
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