Kinetic surface roughening. I. The Kardar-Parisi-Zhang equation in the weak-coupling regime.
Kinetic surface roughening. I. The Kardar-Parisi-Zhang equation in the weak-coupling regime.
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动力学表面粗糙化。
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
Lei
中科院分区：
文献类型：
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作者：
Thomas Nattermann;Lei
在非线性耦合常数较小的情况下，分析了表面生长的kardar - paris - zhang方程。我们给出了根据方程的裸参数对均方表面宽度的详细计算。对于表面尺寸densuremath{le}2，该数量服从交叉缩放。在d=2的情况下，与线性理论的边际不稳定特性有关的指数缓慢交叉是其特征。对于dg2，单环近似中的重整化群分析在平滑和粗糙生长阶段之间的粗化过渡中产生对数标度形式。讨论了该跃迁两侧的交叉行为。
The Kardar-Parisi-Zhang equation for surface growth is analyzed in the regime where the nonlinear coupling constant is small. We present detailed calculations for the mean-square surface width in terms of the bare parameters of the equation. For surface dimension densuremath{le}2, this quantity is shown to obey crossover scaling. The case d=2 is marked by an exponentially slow crossover associated with the marginally unstable character of the linear theory. For dg2 a renormalization-group analysis in the one-loop approximation yields a logarithmic scaling form at the roughening transition between smooth and rough growth phases. The crossover behavior on either side of this transition is discussed.