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IPP Annual Report 2007 - Max-Planck-Institut für Plasmaphysik ...

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Helmholtz Junior Research Group<br />

“Computational Material Science”<br />

Head: Dr. Ralf Schneider<br />

The group studies effects on materials in contact with fusion<br />

and low-temperature plasmas. The major objective is the<br />

development and application of computational physics tools.<br />

Development of a Multi-scale Model for the Interaction of<br />

Hydrogen with Graphite<br />

The multi-scale model was extended further by including the<br />

formation and destruction of hydrogen molecules and the chemical<br />

reactions between hydrocarbons and hydrogen (Küppers-<br />

Hopf cycle). The model has been applied to study hydrogen<br />

retention and release from deposits collected from the leading<br />

edge of the neutralizer of Tore Supra. The simulations showed<br />

that the macropores play the dominant role in the retention and<br />

release behavior of hydrogen. The hydrogen released from<br />

the micropores and mesopores is adsorbed on the surfaces of<br />

the macropores. This internal deposition of hydrogen increases<br />

the tritium retention problem for carbon in a fusion reactor.<br />

Atomistic Description of the Plasma-wall Interaction using Ab<br />

Initio Methods<br />

Highly accurate global potential energy surfaces for C2H +<br />

3 and<br />

C2H +<br />

5 were generated using cluster expansions. They agree<br />

well with spectroscopic frequencies within several cm-1 .<br />

Density Functional Theory methods were applied to study<br />

the diffusion of atomic hydrogen trapped within crystalline<br />

graphite. The ab initio molecular dynamics calculations at<br />

10 K and 300 K show that the H atom forms a chemical bond<br />

with one of the C atoms in graphite. At these temperatures<br />

the H atom is not able to overcome the barrier and thus is<br />

not able to diffuse. These results drastically differ from<br />

those obtained by the use of the empirical Brenner potential<br />

where the H atom is able to diffuse freely. The potential<br />

energy curves calculated using the Brenner potential show a<br />

flat potential in the central region between graphite planes<br />

whereas for DFT calculations a higher potential energy<br />

region between the two planes is observed due to the contribution<br />

from the non-local pseudo-potential energy term.<br />

Kinetic Modelling of Complex Plasmas<br />

Kinetic modelling of plasmas with PIC (Particle-in-Cell)<br />

methods was done in close collaborations with experiments<br />

at the Ernst-Moritz-Arndt University in Greifswald within<br />

the Transregio TR-24 project. Calculation of spatial-temporal<br />

emission profiles in RF-discharges in oxygen including<br />

the formation of negative ions and comparison with experiments<br />

allowed for an estimate of the heavy ion collision<br />

cross-section for dissociative excitation of atomic oxygen<br />

+ by energetic O2 . The oxygen molecular ions get their maximum<br />

energy at the electrode after crossing the sheath.<br />

Theoretical Plasma Physics<br />

91<br />

Figure 4: Distribution of the plasma potential in an azimuthal segment for<br />

quasi steady-state in SPT-100. The fluctuations are clearly visible.<br />

PIC-modelling of electric propulsion Hall thrusters (SPT-100)<br />

demonstrated the importance of secondary electron emission<br />

for the operation of this system: electrons emitted from<br />

the surface of the SPT-100 have lower energies than the<br />

impinging ones. They leave the walls on a different spiral<br />

trajectory which is displaced towards the anode. This creates<br />

a high density low energy layer close to the walls which<br />

increases the electron conductivity strongly in this region.<br />

Another reason for electron cross field transport and axial<br />

currents beyond classical estimates are azimuthal fluctuations,<br />

which were visible in the simulations.<br />

Figure 5: Time evolution of the azimuthal profile of the plasma potential in<br />

the center of the discharge channel. The propagation of the fluctuations<br />

can be seen.<br />

Scientific Staff<br />

K. Matyash, A. Rai, R. Schneider, A.R. Sharma, F. Taccogna.

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