Approximate analytical solutions to the condensation-coagulation equation of aerosols

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

    Research output: Contribution to journalJournal articleResearchpeer-review


    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 languageEnglish
    JournalAerosol Science and Technology
    Issue number6
    Pages (from-to)578-590
    Publication statusPublished - 2016


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