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TWO-DIMENSIONAL NANOSCALE HEAT CONDUCTION USING BALLISTIC-DIFFUSIVE EQUATIONS

机译:弹道扩散方程的二维纳米尺度热传导

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摘要

It is well recognized that heat conduction in micro-and nanoscale and in ultrafast processes may deviate from the predictions of the Fourier law, due to boundary and interface scattering and the finite relaxation time of heat carriers. The Boltzmann equation is often used with the relaxation time approximation to study classical size effect. However, the solution of Boltzmann equation has been limited to few simple geometrical configurations such as thin films and superlattices. In this paper, we apply the transient ballistic-diffusive equation (BDE) to study the two-dimensional nonlocal phonon transport phenomena. The numerical calculation strategies developed in this paper can be promising for incorporating into commercial device simulator.
机译:众所周知,由于边界和界面的散射以及热载体的有限弛豫时间,在微米和纳米级以及超快过程中的热传导可能会偏离傅立叶定律的预测。玻耳兹曼方程通常与松弛时间近似一起使用,以研究经典尺寸效应。但是,玻尔兹曼方程的解法仅限于几种简单的几何结构,例如薄膜和超晶格。在本文中,我们应用瞬态弹道扩散方程(BDE)来研究二维非局部声子输运现象。本文开发的数值计算策略有望被纳入商用设备模拟器中。

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