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.
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Graphical Abstract
![](/cms/asset/760c6433-0300-4832-a902-215dbf5f7a4e/uast_a_2215277_uf0001_c.jpg)
Editor:
Notes
1 GitLab repository for the present FTP simulations https://gitlab.com/jmoranc1/ftp_kernels_langevin_dynamics