Scaling properties of the surface of the Eden model in d=2, 3, 4
Scaling properties of the surface of the Eden model in d=2, 3, 4
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d=2,3,4 时 Eden 模型表面的缩放特性
DOI：
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发表时间：
1985
期刊：
影响因子：
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通讯作者：
R. Botet
中科院分区：
文献类型：
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作者：
R. Jullien;R. Botet
使用条带几何形状，通过有限尺寸缩放对 Eden 模型的表面进行数值研究。研究了三种不同的版本，结果表明以前最常用的版本表现出强大的有限尺寸修正。在二维中，发现对于无限长的条带，表面厚度简单地随着条带宽度的平方根而增长。该结果以及 d=3 和 d=4 中的结果表明，Eden 表面与用于描述粗糙化转变的平衡模型具有一些相同的属性。此外，我们还发现，对于无限大的条带，表面厚度随簇高度的变化而不同。
The surface of the Eden model is investigated numerically by finite-size scaling, using a strip geometry. Three different versions are studied and it shows that the one mostly used previously exhibits strong finite-size corrections. In two dimensions it is found that the surface thickness simply grows as the square root of the width of the strip for infinitely long strips. This result, as well as the results in d=3 and d=4, suggest that the surface of the Eden shares some properties with the equilibrium models used to describe the roughening transition. Moreover, it is found that the surface thickness scales differently with the height of the cluster for infinitely large strips.