Atmospheric Cluster Dynamics Code: a flexible method for solution of the birth-death equations
M. J. McGrath1,2, T. Olenius1, I. K. Ortega1, V. Loukonen1, P. Paasonen1, T. Kurtén1, M. Kulmala1, and H. Vehkamäki1 1Department of Physics, P.O. Box 64, University of Helsinki, 00014, Helsinki, Finland 2Department of Biophysics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan
Abstract. The Atmospheric Cluster Dynamics Code (ACDC) is presented and explored. This
program was created to study the first steps of atmospheric new particle
formation by examining the formation of molecular clusters from
atmospherically relevant molecules. The program models the cluster kinetics
by explicit solution of the birth–death equations, using an efficient
computer script for their generation and the MATLAB ode15s routine
for their solution. Through the use of evaporation rate coefficients derived
from formation free energies calculated by quantum chemical methods for
clusters containing dimethylamine or ammonia and sulphuric acid, we have
explored the effect of changing various parameters at atmospherically
relevant monomer concentrations. We have included in our model clusters with
0–4 base molecules and 0–4 sulfuric acid molecules for which we have
commensurable quantum chemical data. The tests demonstrate that large effects
can be seen for even small changes in different parameters, due to the
non-linearity of the system. In particular, the temperature and sticking
probabilities both have a large impact on all clusters, while the boundary
effects (allowing clusters to grow to sizes beyond the largest cluster that
the code keeps track of, or forbidding such processes), coagulation sink
terms, non-monomer collisions, and monomer concentrations can all have
significant effects. Removal of coagulation sink terms prevented the system
from reaching the steady state when all the initial cluster concentrations
were set to the default value of 1 m−3, which is probably an effect
caused by studying only relatively small cluster sizes.
Citation: McGrath, M. J., Olenius, T., Ortega, I. K., Loukonen, V., Paasonen, P., Kurtén, T., Kulmala, M., and Vehkamäki, H.: Atmospheric Cluster Dynamics Code: a flexible method for solution of the birth-death equations, Atmos. Chem. Phys. Discuss., 11, 25263-25295, doi:10.5194/acpd-11-25263-2011, 2011.