Chemical Physics Impact 8, 100471 (2024)

Size Distributions in Irreversible Particle Aggregation

Klavs Hansen^*

1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 92 Weijin Road, Tianjin 300072, China

* KlavsHansen@tju.edu.cn 

Abstract

The aggregation of particles in the free molecular regime is determined approximately for situations with a high degree of translational energy equilibration. The mean particle sizes develop 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 asymptotically in time.