All Figures

$\begin{figure} \par\includegraphics[width=6.8cm,clip]{9683fig1.eps} \end{figure}$ Figure 1: Illustrative representation of $\vert B \vert$ in the computational domain. Black areas represent 0 G regions; blue and sky-blue represent $\sim$ 10 G regions; green represents $\sim$ 100 G regions; yellow and red represent $\sim$ kG magnetic concentrations. The position of concentrations with $B\sim$ kG correspond to the position of stable downward plumes organized over mesogranular scales.
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In the text

$\begin{figure} \par\includegraphics[width=8cm,clip]{9683fig2.eps} \end{figure}$ Figure 2: Average maximum field strength versus evolution time t. The function is obtained by averaging the results from $n_{\rm RUN}=10$ distinct simulation runs and the error bars are calculated to equal $\frac{\sigma}{\sqrt{n_{\rm RUN}}}$ . The horizontal dashed line represents the maximum value allowed for the magnetic flux density ( $B_{\rm lim}$ ), while the vertical dot-dashed line indicates the instant at which the model produces the first kG element. The plot shows only a part of the total time domain ( $t\simeq 2600$ min).
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In the text

$\begin{figure} \par\includegraphics[width=8cm,clip]{9683fig3.eps} \end{figure}$ Figure 3: Mean probability density function $\langle P(B)\rangle$ for the magnetic field strength in the stationary regime. $\langle P(B)\rangle$ has been obtained averaging $n_{\rm TOT}=40$ non-correlated PDFs and the error bars are calculated to equal $\frac{\sigma}{\sqrt{n_{\rm TOT}}}$ . The histogram bin-size is 30 G. The dashed line represents the upper limit for the magnetic amplification process $B_{\rm lim}$ . The maximum at B=0 G is produced by the fraction of the domain free of magnetic elements.
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In the text

$\begin{figure} \par\includegraphics[width=8cm,clip]{9683fig4.eps} \end{figure}$ Figure 4: Mean probability density function $\langle P(B_\pm)\rangle$ for the signed magnetic field strength in the stationary regime. The histogram bin-size is 30 G. The vertical dashed lines represent the upper and lower limits of the magnetic amplification process $\pm$ $B_{\rm lim}$ . The maximum at B=0 G is produced by the fraction of the domain free of magnetic elements.
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In the text

$\begin{figure} \par\includegraphics[width=8cm,clip]{9683fig5.eps} \end{figure}$ Figure 5: Mean probability density function $\langle P(B)\rangle$ (solid line, same as Fig. 3) compared with four P_t(B) (dotted lines) calculated at different instants of the simulation. Each P_t(B) represents the mean of ten PDFs from ten simulation runs at time t. Top left: t=2160 min, top right t=2308 min, bottom left t=2464 min and bottom right: t=2593 min. The histogram bin-size is 30 G. The vertical dashed lines represent the upper and lower limits of the magnetic amplification process $\pm$ $B_{\rm lim}$ . The maximum at B=0 G is produced by the fraction of the domain free of magnetic elements.
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In the text

$\begin{figure} \par\includegraphics[width=8cm,clip]{9683fig4.eps} \end{figure}$	Figure 4: Mean probability density function $\langle P(B_\pm)\rangle$ for the signed magnetic field strength in the stationary regime. The histogram bin-size is 30 G. The vertical dashed lines represent the upper and lower limits of the magnetic amplification process $\pm$ $B_{\rm lim}$ . The maximum at B=0 G is produced by the fraction of the domain free of magnetic elements.
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