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Energy conserving dissipative particle dynamics study of phonon heat transport in thin films

机译:薄膜中声子传热的节能耗散粒子动力学研究

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Phonon heat transport in thin films is solved by using dissipative particle dynamics with energy conserving (eDPD), and the size effect on thermal conductivity is analyzed. When the thickness of a film is comparable with the phonon mean free path, boundary scattering becomes dominant. To incorporate both the phonon-phonon scattering effect and phonon-boundary scattering effect, we adopt a particle-particle collision flux model and a particle-wall collision flux model in eDPD. Using these models, we investigated the heat transport between two parallel and infinite plates for 0.1 < Kn < 10 where the heat transport is both ballistic and diffusive. The temperature jump is observed at the boundaries and the temperature profiles are in good agreement with the solution to the equation of phonon radiative transport (EPRT). Moreover, we vary the thickness of the film and calculate the corresponding effective thermal conductivity to investigate the size influence. The present results are compared with the simple analytical solution based on Matthiessen's rule and the effective thermal conductivity equation derived from the EPRT and it is found that the effective thermal conductivity can be predicted correctly by eDPD.
机译:利用能量守恒的耗散粒子动力学方法解决了声子在薄膜中的传热问题,并分析了尺寸对导热系数的影响。当膜的厚度与声子平均自由程相当时,边界散射将占主导地位。为了结合声子-声子散射效应和声子-边界散射效应,我们在eDPD中采用了颗粒-颗粒碰撞通量模型和颗粒-壁碰撞通量模型。使用这些模型,我们研究了两个平行且无限大的板在0.1 <Kn <10时的热传递,其中热传递既是弹道的又是扩散的。在边界处观察到温度跃变,并且温度分布与声子辐射输运方程(EPRT)的解非常吻合。此外,我们改变膜的厚度并计算相应的有效导热率以研究尺寸的影响。将结果与基于Matthiessen法则的简单解析解以及从EPRT导出的有效导热系数方程进行了比较,发现可以通过eDPD正确预测有效导热系数。

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