无限长量子位错段对声子的散射及平行位错贯穿固体中热输运各向异性的产生
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
摘要：
一个规范的量子化程序被应用到弹性波-声子-与无限长的位错，可以振荡的平衡，直线，配置的相互作用。这种相互作用是通过著名的Peach-Koehler力实现的。对于偏离平衡位置的小位错偏移，量子理论可以求解到耦合常数的所有阶。我们详细研究了位错线的量子激发及其与声子的相互作用。指出了声子风引起的位错上的阻力的后果。我们计算了声子以任意角度入射到位错线上的横截面。热输运的后果进行了探讨，我们比较我们的结果，涉及动态位错，与克莱门斯和Carruthers，涉及静态位错。在我们的例子中，弛豫时间与频率成反比，而不是与频率成正比。因此，由于存在高度取向的位错阵列而在材料上产生的热输运各向异性对每个传播模式的频率以及因此对材料的温度相当敏感。
英文摘要：
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.
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