不可逆粒子聚集中的尺寸分布

arXiv - PHYS - Atomic and Molecular Clusters Pub Date : 2023-07-27 DOI:arxiv-2307.14795

Klavs Hansen

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摘要

粒子在自由分子状态下的聚集与簇生长有关，对于描述频繁发生的物理情况的核来说，这种聚集是近似确定的。平均粒径的发展在时间上接近线性。利用尺度关系导出了一个线性偏微分方程，并对该方程进行了求解，证明了该方程的尺寸分布在时间上渐近地接近对数正态尺寸分布。

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Size distributions in irreversible particle aggregation

The aggregation of particles in the free molecular regime pertaining to cluster growth is determined approximately for kernels describing frequently occurring physical situations. The mean particle sizes develop close to linearly in time. Scaling relations are used to derive a linear partial differential equation which is solved to show that the size distributions are close to log-normal size distributions asymptotically in time.

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arXiv - PHYS - Atomic and Molecular Clusters

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