Abstract The morphological description of fractal agglomerates is generally reduced to only two parameters, namely the mass fractal dimension and its prefactor. In the most evolved approaches, a stretching exponent is also introduced, while a packing factor is preferred to the fractal prefactor. In any case, the current analytical description of agglomerates morphology is accurate only for sufficiently large agglomerates, which is due to the limited spatial extension of the clusters that are actually quasi-fractal. In the present study, a cutoff function of the pair correlation function is considered for both larger and smaller scales. This enables a more accurate morphological description valid for any cluster size is to be given taking into account the polydispersity of the primary spheres. This new analytical morphological description relying on 5 parameters, is presented here for the first time. The physical range covered by these morphological parameters is determined based on virtually generated Diffusion Limited Cluster Agglomeration. Finally, the model is used to express the fractal prefactor and structure factors and their dependence on agglomerate size and morphological parameters is investigated.

中文翻译：

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从单体到团聚体：表征类分形簇形态的通用模型

摘要 分形团聚体的形态描述一般简化为两个参数，即质量分形维数及其前因数。在最进化的方法中，还引入了拉伸指数，而包装因子优于分形前置因子。在任何情况下，目前对团聚体形态的分析描述仅对足够大的团聚体是准确的，这是由于实际上准分形的团簇的空间扩展有限。在本研究中，对较大和较小尺度都考虑了对相关函数的截止函数。考虑到主要球体的多分散性，这使得能够给出对任何簇大小有效的更准确的形态学描述。这种依赖于 5 个参数的新的分析形态学描述首次在此处呈现。这些形态参数所涵盖的物理范围是基于虚拟生成的扩散受限集群聚集来确定的。最后，该模型用于表达分形前因子和结构因子，并研究了它们对团聚体大小和形态参数的依赖性。