ABSTRACT Steady-state oscillations of nanoparticle populations in the system of colliding monomers and seed-clusters are observed for the range of the seed-cluster source with diffusion and ballistic collision kernels. The dynamics of nanoparticles in this system is driven by monomer-cluster and cluster-cluster irreversible aggregation and described in terms of the number of primary monomers per nanoparticle based on solving the population balance equations as described by the classical system of Smoluchowski equations. The oscillations of particles’ concentrations arise with growing power of the source of seed-clusters and can remain visible for several orders of magnitute of particle sizes . For the case of constant kinetic coefficients the novel semi-analytial solution of the utilized aggregation model is found and results of numerical simulations with use of up to non-linear kinetic equations agree excellently with proposed theory.

中文翻译：

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开放系统中纳米团簇的振荡平稳分布

摘要 在具有扩散和弹道碰撞核的种子簇源的范围内，观察到碰撞单体和种子簇系统中纳米粒子群的稳态振荡。该系统中纳米粒子的动力学由单体-簇和簇-簇不可逆聚集驱动，并根据求解经典 Smoluchowski 方程系统描述的种群平衡方程，以每个纳米颗粒的主要单体数量来描述。粒子浓度的振荡随着种子簇源的增长能力而产生，并且可以在几个数量级的粒子尺寸内保持可见。