DYNAMIC SCALING OF GROWING INTERFACES
DYNAMIC SCALING OF GROWING INTERFACES
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DOI：
10.1103/physrevlett.56.889
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发表时间：
1986-03-03
影响因子：
8.6
通讯作者：
ZHANG, YC
中科院分区：
文献类型：
--
作者：
KARDAR, M;PARISI, G;ZHANG, YC
提出了一种生长界面轮廓演化的模型。确定性增长的解决，并表现出非平凡的松弛模式。随机版本的研究动态重整化群技术和映射到Burgers方程和随机定向聚合物问题。一维界面的精确动力学标度形式与以前的数值模拟结果非常吻合。对更多维度进行预测。
A model is proposed for the evolution of the profile of a growing interface. The deterministic growth is solved exactly, and exhibits nontrivial relaxation patterns. The stochastic version is studied by dynamic renormalization-group techniques and by mappings to Burgers's equation and to a random directed-polymer problem. The exact dynamic scaling form obtained for a one-dimensional interface is in excellent agreement with previous numerical simulations. Predictions are made for more dimensions.