论文标题
通过无限长的量子错段散射声子和在许多平行位错的固体螺纹中产生的热转运各向异性的散射
The scattering of phonons by infinitely long quantum dislocations segments and the generation of thermal transport anisotropy in a solid threaded by many parallel dislocations
论文作者
论文摘要
规范量化程序应用于弹性波的相互作用(Phonons)的相互作用,该过程与无限长的脱位可以振荡,以平衡,直线,配置。这种相互作用是通过著名的桃红色力量实施的。对于远离平衡位置的小错偏移,可以将量子理论求解到耦合常数中的所有顺序。我们详细研究错位线的量子激发及其与声子的相互作用。指出了由声子风引起的脱位的后果。我们计算出入射在错位线上的声子的横截面,以任意发射角。探索了热运输的后果,我们将涉及动态脱位的结果与klemens和Carruthers的结果进行了比较,涉及静态脱位。在我们的情况下,放松时间与频率成反比,而不是直接与频率成正比。结果,由于存在高度导向的位错阵列而在材料上产生的热传输各向异性对每种传播模式的频率,因此对材料温度的频率更为敏感。
A canonical quantization procedure is applied to the interaction of elastic waves --phonons-- with infinitely long dislocations that can oscillate about an equilibrium, straight line, configuration. The interaction is implemented through the well-known Peach-Koehler force. For small dislocation excursions away from the equilibrium position, the quantum theory can be solved to all orders in the coupling constant. We study in detail the quantum excitations of the dislocation line, and its interactions with phonons. The consequences for the drag on a dislocation caused by the phonon wind are pointed out. We compute the cross-section for phonons incident on the dislocation lines for an arbitrary angle of incidence. The consequences for thermal transport are explored, and we compare our results, involving a dynamic dislocation, with those of Klemens and Carruthers, involving a static dislocation. In our case, the relaxation time is inversely proportional to frequency, rather than directly proportional to frequency. As a consequence, the thermal transport anisotropy generated on a material by the presence of a highly-oriented array of dislocations is considerably more sensitive to the frequency of each propagating mode, and therefore, to the temperature of the material.