Theoretical derivation of particle collision kernels and its enhancement at a high concentration from a first-time-passage approach in the diffusive regime

Abstract

A theoretical explanation for obtaining collision kernels from the first-time passage approach proposed by [Gopalakrishnan, R., & Hogan Jr., C. J. (2011). Aerosol Science and Technology, 45(12), 1499–1509] is developed in this work. This new approach leads to an interesting correction for particle coagulation at high concentrations and enlights the limitations of classical derivations by [Fuchs, N. A. (1964). Dover Publications] and [Friedlander, S. K. (2000). (Vol. 198). New York: Oxford University Press] where the transient part of the diffusive collision kernel is typically neglected.

Copyright © 2023 American Association for Aerosol Research

Graphical Abstract

Editor:

• Nicole Riemer

Notes

1 GitLab repository for the present FTP simulations https://gitlab.com/jmoranc1/ftp_kernels_langevin_dynamics

Additional information

Funding

The authors acknowledge financing received through the Mitacs Globalink Research Award number IT24089. José Morán thanks to Prof. Christopher J. Hogan Jr. for his inspiring insights regarding first-time passage simulations. The research leading to these results has also received funding from the Canada Research Chair Program10.13039/501100002784 (# CRC-2019-232527), and the Natural Sciences and Engineering Research Council of Canada10.13039/501100000038 (Discovery # RGPIN-2019-06330 and -Early Career Supplemental Award # DGECR-2019-00220).