Chin C S, den Nijs M
Department of Physics, University of Washington, P. O. Box 351560, Seattle, Washington 98195-1560, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3 Pt 1):031606. doi: 10.1103/PhysRevE.64.031606. Epub 2001 Aug 30.
We investigate whether surface reconstruction order exists in stationary growing states at all length scales or only below a crossover length l(rec). The latter behavior would be similar to surface roughness in growing crystal surfaces; below the equilibrium roughening temperature they evolve in a layer-by-layer mode within a crossover length scale l(R), but are always rough at large length scales. We investigate this issue in the context of Kardar-Parisi-Zhang (KPZ) type dynamics and a checkerboard type reconstruction, using the restricted solid-on-solid model with negative monatomic step energies. This is a topology where surface reconstruction order is compatible with surface roughness and where a so-called reconstructed rough phase exists in equilibrium. We find that during growth reconstruction order is absent in the thermodynamic limit, but exists below a crossover length l(rec)>l(R), and that this local order fluctuates critically. Domain walls become trapped at the ridge lines of the rough surface, and thus the reconstruction order fluctuations are slaved to the KPZ dynamics.
我们研究了在所有长度尺度的稳态生长状态下是否存在表面重构顺序，还是仅在交叉长度l(rec)以下存在。后一种行为类似于生长晶体表面的表面粗糙度；在平衡粗糙化温度以下，它们在交叉长度尺度l(R)内以逐层模式演化，但在大长度尺度上总是粗糙的。我们在 Kardar-Parisi-Zhang (KPZ) 型动力学和棋盘型重构的背景下，使用具有负单原子台阶能量的受限固-固模型来研究这个问题。这是一种表面重构顺序与表面粗糙度兼容且在平衡状态下存在所谓重构粗糙相的拓扑结构。我们发现，在生长过程中，热力学极限下不存在重构顺序，但在交叉长度l(rec)>l(R)以下存在，并且这种局部顺序会发生临界波动。畴壁被困在粗糙表面的脊线上，因此重构顺序波动受KPZ动力学支配。
