Saberi A A, Rouhani S
School of Physics, Institute for Research in Fundamental Sciences (IPM), 19395-5531 Tehran, Iran.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Mar;79(3 Pt 2):036102. doi: 10.1103/PhysRevE.79.036102. Epub 2009 Mar 11.
We investigate the statistics of isoheight lines of (2+1) -dimensional Kardar-Parisi-Zhang model at different level sets around the mean height in the saturation regime. We find that the exponent describing the distribution of the height-cluster size behaves differently for level cuts above and below the mean height, while the fractal dimensions of the height-clusters and their perimeters remain unchanged. The statistics of the winding angle confirms the previous observation that these contour lines are in the same universality class as self-avoiding random walks.
我们研究了(2 + 1)维 Kardar-Parisi-Zhang 模型在饱和状态下围绕平均高度的不同水平集处的等高线统计特性。我们发现,描述高度簇大小分布的指数在平均高度之上和之下的水平切割处表现不同,而高度簇及其周长的分形维数保持不变。缠绕角的统计结果证实了先前的观察,即这些等高线与自回避随机游走属于同一普适类。