Deviational methods for small-scale phonon transport

Deviational methods for small-scale phonon transport
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小尺度声子输运的偏差方法

DOI:
10.1299/mer.2014fe0013
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发表时间:
2014
期刊:
影响因子:
--
通讯作者:
N. Hadjiconstantinou
N. Hadjiconstantinou
中科院分区:
--
文献类型:
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作者:
Jean;C. Landon;N. Hadjiconstantinou

文献摘要

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我们回顾了在小尺度固态热传递背景下用于求解控制声子输运过程的玻尔兹曼方程的偏差方法。我们简要讨论了偏差算法的数值基础以及基本模拟方法。特别强调了该领域中带来显著效率提升的最新进展,例如线性化和伴随公式,以及它们在复杂多尺度问题中的应用。还回顾并讨论了最近为模拟应用于新型二维材料(如石墨烯)中声子输运的从头算碰撞算子而开发的方法。
We review deviational methods for solving the Boltzmann equation governing phonon transport processes in the context of small-scale, solid-state heat transfer. We briefly discuss the numerical foundations of deviational algorithms as well as basic simulation methodology. Particular emphasis is given to recent developments in the field yielding appreciable efficiency improvements, such as linearized and adjoint formulations, and their applications to complex multiscale problems. Recently developed methods for simulating the ab initio collision operator for applications to phonon transport in novel two-dimensional materials, such as graphene, are also reviewed and discussed.