Exact linear dispersion relation for the Sigmund model of ion sputtering
Exact linear dispersion relation for the Sigmund model of ion sputtering
复制标题
离子溅射 Sigmund 模型的精确线性色散关系
DOI：
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发表时间：
2011
期刊：
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通讯作者：
R. M. Bradley
中科院分区：
文献类型：
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作者：
R. M. Bradley
精确的线性色散关系得到的西格蒙德模型，该模型形成的基础上，几乎所有的理论的纳米级图案所产生的离子轰击固体表面。它表明，短波长的表面扰动的振幅随时间呈指数增长，因此Sigmund模型是病态的，除非一个或多个平滑项添加到运动方程。有效表面扩散[M. A. Makeev和A.- L. Barabasi，Appl. Phys. Lett. 71，2801（1997）]不可能是使固体表面光滑的唯一物理机制，即使在低温下。
The exact linear dispersion relation is obtained for the Sigmund model, a model which forms the basis of nearly all theories of the nanoscale patterns produced by ion bombardment of solid surfaces. It is demonstrated that the amplitude of a surface disturbance of short wavelength grows exponentially in time, and so the Sigmund model is ill defined unless one or more smoothing terms are added to the equation of motion. It is also shown that effective surface diffusion [M. A. Makeev and A.-L. Barabasi, Appl. Phys. Lett. 71, 2801 (1997)] cannot be the only physical mechanism that smoothes the solid surface, even at low temperatures.