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<p><font size="6" color="white"><b>Theory of Cluster Dynamics</b></font><font
size="5"><br />
</font><font size="6"> </font><font size="5">The Toulouse -
Erlangen Collaboration</font></p>
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<a name="oben"> </a>
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</a><a href="../tddft-md/formal.html">1. Theoretical developments </a> </div>
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<a href="detail1.html"> 2. Analysis of cluster
dynamics </a> </div>
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<a href="detail2.html"> 3. Clusters in strong external
fields </a> </div>
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<a href="../tddft-md/detailQMMM.html"> 4. Embedded clusters </a> </div>
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<p> Clusters in strong external perturbations</p>
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<p> Clusters in the strong fields of extremely intense lasers
show a much different dynamics. Core electrons can be released
and contribute strongly to the process. The detailed
description at the fully quantum mechanical level of TDLDA
becomes untractable. However, the excitations involved
validate classical approaches. <br />
<br />
<img src="figs/MD_fig5.gif" width="300" align="right" /> The
figure to the right shows the result of a molecular dynamics
simulation of electronic and ionic dynamics of Na<sub>41</sub><sup>+</sup>
under the influence of strong laser fields [<a href="../literatur.html#own1308">332</a>].
Ionization
is drawn as function of laser intensity. One sees a sharp kink
at a critical intensity of I = 10<sup>16</sup> W/cm<sup>2</sup>.
This threshold value is explained by the fact that the Coulomb
force from the laser field at the threshold just
equals the binding forces of the core electrons.
The increase is due to the core electrons which now start to
participate in the dynamics. This view is illustrated by
separating the contributions from valence (green line) and
core electrons (red line). There is indeed zero emission from
core electrons up to I = 10<sup>16</sup> W/cm<sup>2</sup> and
the strong increase above that critical intensity is
exclusively due to the contribution from core electrons. <br />
<br />
<br />
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