# Kiel 2011 – wissenschaftliches Programm

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# P: Fachverband Plasmaphysik

## P 15: Theorie/Modellierung I

### P 15.2: Fachvortrag

### Mittwoch, 30. März 2011, 14:30–14:55, HS C

**Poincaré analysis of wave motion in ultra-relativistic electron-ion plasmas** — •Götz Lehmann and Karl-Heinz Spatschek — Institut für Theoretische Physik I, Heinrich-Heine Universität, Düsseldorf

Based on a relativistic Maxwell-fluid description, the existence of ultra-relativistic laser-induced periodic waves in an electron-ion plasma is investigated. Within a one-dimensional (1D) propagation geometry nonlinear coupling of the electromagnetic and electrostatic components occurs which makes the fourth-order problem non-integrable. A Hamiltonian description is derived and the manifolds of periodic solutions are studied by Poincaré section plots. The influence of ion-motion is investigated in different intensity regimes. For utra-relativistic laser intensities the phase-space structures change significantly compared to the weakly-relativistic case. Ion motion becomes very important such that finally electron-ion plasmas in the far-ultra-relativistic regime behave similar to electron-positron plasmas. The characteristic new types of periodic solutions of the system are identified and discussed.