扩散质量输运的界面碰撞
Interface collisions with diffusive mass transport
摘要：
我们报告的线性朗之万模型，描述了两个界面的粗糙度的演变，相互移动，并耦合扩散场。该模型旨在描述生长过程中两个二维材料域之间间隙的闭合，以及随后粗糙晶界的形成。我们假设沉积发生在两个域之间的间隙中，并且生长单元扩散并且可以附着到域的边缘。这些单元也可以从边分离、扩散和重新附着到其他地方。对于缓慢增长，边缘粗糙度单调增加，然后饱和在某个平衡值。对于快速生长，粗糙度在两个界面碰撞之前出现最大值，然后出现最小值。粗糙度的峰值可以由统计波动或边缘不稳定性主导。得到的相图有三个区域：无峰的缓慢生长，统计涨落主导的峰，峰主导的不稳定性。这些结果再现了动力学蒙特卡罗模拟中观察到的主要特征。
英文摘要：
We report on a linear Langevin model that describes the evolution of the roughness of two interfaces that move towards each other and are coupled by a diffusion field. This model aims at describing the closing of the gap between two two-dimensional material domains during growth, and the subsequent formation of a rough grain boundary. We assume that deposition occurs in the gap between the two domains and that the growth units diffuse and may attach to the edges of the domains. These units can also detach from edges, diffuse, and re-attach elsewhere. For slow growth, the edge roughness increases monotonously and then saturates at some equilibrium value. For fast growth, the roughness exhibits a maximum just before the collision between the two interfaces, which is followed by a minimum. The peak of the roughness can be dominated by statistical fluctuations or by edge instabilities. A phase diagram with three regimes is obtained: slow growth without peak, peak dominated by statistical fluctuations, and peak dominated by instabilities. These results reproduce the main features observed in Kinetic Monte Carlo simulations.
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