脂肪确定性Vicsek分形结构因子的小角散射研究
The structure factor of fat deterministic Vicsek fractals: a small-angle scattering study
摘要：
本文研究倒易空间中确定性脂肪分形的小角散射结构因子。研究表明，胖分形在具有相同标度因子值的迭代范围内具有精确的自相似性，因此在每个范围内，规则分形的所有属性都可以推断为胖分形。为了说明上述研究结果，我们引入确定性的Vicsek确定性分形的增肥版本。我们计算了单分散和多分散的结构因子，并研究了其散射特性。
英文摘要：
We study here the small-angle scattering structure factor for deterministic fat fractals in the reciprocal space. It is shown that fat fractals are exact self-similar in the range of iterations having the same values of the scaling factor, and therefore in each of these ranges all the properties of regular fractals can be inferred to fat fractals. In order to illustrate the above findings we introduce deterministic fattened versions of Vicsek deterministic fractals. We calculate the mono- and polydisperse structure factor and study its scattering properties.
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