晶体表面形态弛豫的统一连续介质方法
Unified continuum approach to crystal surface morphological relaxation
摘要：
连续介质理论被用来预测在两个独立的空间维度的晶体表面的形态弛豫的标度律。我们的目标是统一以前断开的实验观测衰减表面轮廓。连续描述来自相互作用的原子步骤的运动。对于各向同性扩散的吸附原子在每个梯田，诱导吸附原子通量横向和平行于步骤的边缘遵守不同的法律，产生张量流动的连续表面通量。的偏微分方程（PDE）的高度分布表示一个相互作用的步骤能量和动力学，和纵横比的表面形貌，similably统一的观察衰减的双向表面波纹。PDE减少到已知的轴对称丘和一维周期性波纹的演化方程。
英文摘要：
A continuum theory is used to predict scaling laws for the morphological relaxation of crystal surfaces in two independent space dimensions. The goal is to unify previously disconnected experimental observations of decaying surface profiles. The continuum description is derived from the motion of interacting atomic steps. For isotropic diffusion of adatoms across each terrace, induced adatom fluxes transverse and parallel to step edges obey different laws, yielding a tensor mobility for the continuum surface flux. The partial differential equation (PDE) for the height profile expresses an interplay of step energetics and kinetics, and aspect ratio of surface topography that plausibly unifies observations of decaying bidirectional surface corrugations. The PDE reduces to known evolution equations for axisymmetric mounds and one-dimensional periodic corrugations.
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