非局域系统中的表面形貌粗化
Surface morphology coarsening in a nonlocal system
摘要：
直接比较了局部系统及其非局部推广系统的稳态和粗化动力学。示例系统是在强电场中的固体膜的表面;在长波长近似下，通过膜高度函数的振幅PDE来描述表面的形态演化。结果表明，稳态的振幅和表面结构的粗化率是非常敏感的长程相互作用的半径，并且这两个数量的增加，随着半径的减小。
英文摘要：
Direct comparison is made of the steady-sates and coarsening dynamics in a local system and its nonlocal generalization. The example system is the surface of a solid film in a strong electric field; the morphological evolution of the surface is described, in the long-wavelength approximation, by the amplitude PDE for the film height function. It is shown that the amplitude of the steady-state and the coarsening rate of the surface structure are very sensitive to the radius of the long-range interaction, and that both quantities increase as the radius decreases.
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