Approximate analytical solutions to the condensation-coagulation equation of aerosols

Naftali R. Smith*, Nir J. Shaviv, Henrik Svensmark

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We present analytical solutions to the steady state nucleation-condensation-coagulation equation of aerosols in the atmosphere. These solutions are appropriate under different limits but more general than previously derived analytical solutions. For example, we provide an analytic solution to the coagulation limit plus a condensation correction. Our solutions are then compared with numerical results. We show that the solutions can be used to estimate the sensitivity of the cloud condensation nuclei number density to the nucleation rate of small condensation nuclei and to changes in the formation rate of sulfuric acid.

Original languageAmerican English
Pages (from-to)578-590
Number of pages13
JournalAerosol Science and Technology
Issue number6
StatePublished - 2 Jun 2016

Bibliographical note

Publisher Copyright:
© 2016 American Association for Aerosol Research.


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