All Figures

$\begin{figure} \par\includegraphics[width=8.5cm,clip]{9243fg01.eps}\end{figure}$ Figure 1: Parameter study for various mean turbulent temperatures $\sigma$ . Top panel: mean temperature (dotted) and mean density (logarithmic, solid). Panel 2: average nucleation rate (black, full: 20 K, dotted: 40 K, dashed 60 K, grey: deterministic model). Panel 3: average net growth rate. (The deterministic curve is covered by the black curve for $\sigma = 20$ K.) Panel 4: expectation value of the number density of dust grains (logarithmic). Panel 5: expectation value of the degree of condensation. $\lambda = 10^{4}$ s for all plots.
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In the text

$\begin{figure} \par\includegraphics[width=8.5cm,clip]{9243fg02.eps}\end{figure}$ Figure 2: Parameter study for various correlation times. The depicted quantities are identical to Fig. 1. Grey: deterministic; black full: $\lambda = 10^{4}$ s; dotted: 10⁷ s; dashed: 10⁸ s; long dashed: 10⁹ s. $\sigma = 60$ K for all plots.
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In the text

$\begin{figure} \par\includegraphics[width=11cm, angle=270,clip]{9243fg03.ps}\end{figure}$ Figure 3: Degree of condensation $f_{\rm c}$ ( top) and number density of dust grains ( bottom) along the T-r-plane in the deterministic ( right) and the stochastic ( left) case. T is the temperature deviation from the mean temperature (see Fig. 1 top panel). K₀ and q₀ are again normated to the total number density of hydrogen cores $n_{\rm\hat{H}}$ . q₀ ( bottom left) results from the first moment Eq. (35) of $\hat{K}_0$ via Eq. (42). The K₀ on the right are the result of a set of independent deterministic calculations along the single paths $(\bar T + T)$ , i.e. there is no coupling along the T-axis in the deterministic case ( right). The degree of condensation $f_{\rm c} = q_{3} / \epsilon _{\rm {C,0}}$ or $K_{3} / \epsilon _{\rm {C,0}}$ must be understood accordingly, $(\sigma = 60$ K, $\lambda = 10^8$ s).
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In the text

$\begin{figure} \par\includegraphics[width=12cm, angle=270,clip]{9243fg04.ps}\end{figure}$ Figure 4: Net growth rate ( top) and nucleation rate ( bottom) for deterministic ( right) and stochastical calculations respectively. The stochastic plots on the left are coupled by the chemical consumption of monomers, i.e. by the q₃-solution of the Fokker-Planck system Eq. (43) on the T-r-plane, whereas on the right - we again plot a sample of deterministic calculations. $(\sigma = 60$ K, $\lambda = 10^8$ s.)
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In the text

$\begin{figure} \par\includegraphics[width=8.5cm,clip]{9243fg05.eps}\end{figure}$ Figure 5: Parameter study for various mean turbulent temperatures $\sigma$ , $T_{\rm d} = \bar{T}$ . The presented quantities are the same as in Fig. 1. For panels 2-5: grey line: deterministic model (close to the full black line), full black line: $\sigma =1$ K, dotted: $\sigma = 5$ K, dashed: $\sigma = 10$ K, long dashed $\sigma = 20$ K; $\lambda = 10^{3}$ s for all plots.
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In the text

$\begin{figure} \par\includegraphics[width=8cm,clip]{9243fg06.eps}\end{figure}$ Figure 6: $\sigma$ -study for $J_{\rm micro}$ for $\rho =10^{-14}$ g/cm^-3 and $\epsilon _{\rm C} = 5.3 \times 10^{-4}$ . $\sigma =1$ K (solid line), 20 K (dotted), 40 K (dashed) and 60 K (long dashed).
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In the text

$\begin{figure} \par\mbox{\includegraphics[width=6cm,clip]{9243fg07.eps} \include... ...ip]{9243fg08.eps} \includegraphics[width=6cm,clip]{9243fg09.eps} }\end{figure}$ Figure 7: The microturbulent nucleation rate $\log(J)$ in a ${T_{\rm gas}}$ / $\log~(\rho)$ plane for $\epsilon _{\rm C}\approx 5.3 \times 10^{-4}$ , i.e. C/O $\approx$ 1.8. The temperature is given in Kelvin and the density in g cm^-3. The dashed lines correspond to nucleation rates of $\log~(J) = -19$ and -25. The dots correspond to the grid points in the calculation. Left: deterministic rate, middle: $\sigma = 20$ K, right: $\sigma = 60$ K.
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In the text

$\begin{figure} \par\mbox{\includegraphics[width=8.8cm,clip]{9243fg10.eps} \includegraphics[width=8.8cm,clip]{9243fg11.eps} } \end{figure}$ Figure 8: Snapshots from the dynamical model calculations at t = 90 P, model 12, NLTE-cooling, $\eta _{\rm opt} = 4.4$ K^-1. Left: deterministic, right: $\sigma = 60$ K. Represented quantities: top panel: velocity v (solid), particle density of hydrogen cores $n_{\rm\hat{H}}$ (dotted), the small ticks indicate the positions of the grid points. Panel 2: gas temperature ${T_{\rm gas}}$ (dotted), radiation temperature ${T_{\rm rad}}$ (solid). Panel 3: nucleation rate J (dotted), net growth rate ${\tau ^{-1}}$ (solid). Panel 4: degree of condensation $f_{\rm c}$ (solid), radiative acceleration $\alpha$ (dotted).
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In the text

$\begin{figure} \par\includegraphics[width=8.5cm,clip]{9243fg02.eps}\end{figure}$	Figure 2: Parameter study for various correlation times. The depicted quantities are identical to Fig. 1. Grey: deterministic; black full: $\lambda = 10^{4}$ s; dotted: 10⁷ s; dashed: 10⁸ s; long dashed: 10⁹ s. $\sigma = 60$ K for all plots.
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$\begin{figure} \par\includegraphics[width=8.5cm,clip]{9243fg05.eps}\end{figure}$	Figure 5: Parameter study for various mean turbulent temperatures $\sigma$ , $T_{\rm d} = \bar{T}$ . The presented quantities are the same as in Fig. 1. For panels 2-5: grey line: deterministic model (close to the full black line), full black line: $\sigma =1$ K, dotted: $\sigma = 5$ K, dashed: $\sigma = 10$ K, long dashed $\sigma = 20$ K; $\lambda = 10^{3}$ s for all plots.
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$\begin{figure} \par\includegraphics[width=8cm,clip]{9243fg06.eps}\end{figure}$	Figure 6: $\sigma$ -study for $J_{\rm micro}$ for $\rho =10^{-14}$ g/cm^-3 and $\epsilon _{\rm C} = 5.3 \times 10^{-4}$ . $\sigma =1$ K (solid line), 20 K (dotted), 40 K (dashed) and 60 K (long dashed).
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