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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union

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doi:10.5194/npg-2016-50
© Author(s) 2016. This work is distributed
under the Creative Commons Attribution 3.0 License.
Research article
04 Oct 2016
Review status
A revision of this discussion paper is under review for the journal Nonlinear Processes in Geophysics (NPG).
On the CCN [de]activation nonlinearities
Sylwester Arabas1,2 and Shin-ichiro Shima3 1Institute of Geophysics, Faculty of Physics, University of Warsaw, Warsaw, Poland
2Chatham Financial Corporation Europe, Cracow, Poland
3Graduate School of Simulation Studies, University of Hyogo, Kōbe, Japan
Abstract. We take into consideration the evolution of particle size in a monodisperse aerosol population during activation and deactivation of cloud condensation nuclei (CCN). The phase portrait of the system derived through a weakly-nonlinear analysis reveals a saddle-node bifurcation and a cusp catastrophe. An analytical estimate of the activation timescale is derived through estimation of the time spent in the saddle-node bifurcation bottleneck. Numerical integration of the system portrays two types of activation/deactivation hystereses: one associated with the kinetic limitations on droplet growth when the system is far from equilibrium, and one occurring close to equilibrium and associated with the cusp catastrophe. The hysteretic behaviour close to equilibrium imposes stringent time-resolution constraints on numerical integration, particularly during deactivation.

Citation: Arabas, S. and Shima, S.-I.: On the CCN [de]activation nonlinearities, Nonlin. Processes Geophys. Discuss., doi:10.5194/npg-2016-50, in review, 2016.
Sylwester Arabas and Shin-ichiro Shima
Sylwester Arabas and Shin-ichiro Shima
Sylwester Arabas and Shin-ichiro Shima

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Short summary
The paper bridges cloud/aerosol modelling with bifurcation analysis. It identifies two nonlinear peculiarities in the differential equations describing formation of atmospheric clouds through vapour condensation on a population of aerosol particles. A key finding of the paper is an analytic estimate for the time scale of the process. The study emerged from discussions on the causes of hysteretic behaviour of the system that we observed in the results of numerical simulations.
The paper bridges cloud/aerosol modelling with bifurcation analysis. It identifies two nonlinear...
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