... density

In this work, all densities are scaled to the number density of hydrogen cores $n_{\rm\hat{H}}$.

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... phase

N_l has to be chosen larger than the largest i-mer, that is expected to contribute to the growth process, so that all growth species belong to the gas phase. Otherwise the grain density would be lowered by growth. We note that for this reason coagulation processes cannot be treated in the framework of this method.

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... transfer

In the deterministic case, these calculations were performed by e.g. Fleischer et al. (1992), Sedlmayr & Winters (1997), Winters et al. (2000), and Schirrmacher et al. (2003).

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... rate

Note that the net growth rate is the hypothetical rate at which, if present, a cluster would grow or evaporate. This rate can be positive even if no dust at all is present.

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... state

With state functions, in this work, we refer to the thermal and caloric equations of state.

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... quasi-stationary

``Quasi-stationary'' refers to the fact that a pulsating star will never have a strictly stationary wind.

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