DLA模型中调和测度估计的有限尺寸效应：探针粒子的可变尺寸
Finite size effect of harmonic measure estimation in a DLA model: Variable size of probe particles
摘要：
研究了有限尺寸效应在模拟扩散限制聚集（DLA）生长中的谐波测度探测中的作用。我们引入了一个可变的探针粒子尺寸，估计调和测度和提取DLA团簇的分形维数采取两个极限，即极小的探针粒子尺寸和无限大的DLA团簇尺寸。我们生成1000 DLA集群组成的50万个粒子，每个使用早期工作中开发的非晶格无约束算法。所介绍的方法导致前所未有的准确性的分形维数的估计。我们讨论了概率分布函数随探测粒子尺寸的变化。
英文摘要：
A finite size effect in the probing of the harmonic measure in simulation of diffusion-limited aggregation (DLA) growth is investigated. We introduce a variable size of probe particles, to estimate harmonic measure and extract the fractal dimension of DLA clusters taking two limits, of vanishingly small probe particle size and of infinitely large size of a DLA cluster. We generate 1000 DLA clusters consisting of 50 million particles each, using an off-lattice killing-free algorithm developed in the early work. The introduced method leads to unprecedented accuracy in the estimation of the fractal dimension. We discuss the variation of the probability distribution function with the size of probing particles.
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