# München 2019 – wissenschaftliches Programm

## Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

# P: Fachverband Plasmaphysik

## P 8: Laser Plasmas I - Codes and Modelling I

### P 8.2: Vortrag

### Dienstag, 19. März 2019, 11:15–11:30, HS 20

**A new relativistic interaction model for 2D and 3D Wigner crystals in a plasma bubble** — •Johannes Thomas, Lars Reichwein, and Alexander Pukhov — Institut für Theoretische Physik 1, Heinrich-Heine-Universität Düsseldorf

The spatial structure of an ultralow-emittance electron bunch in the plasma wakefield bubble regime is studied. The full Liénard-Wiechert potentials are considered for mutual inter-particle interactions in the framework of an equilibrium model. This model uses a quasi-static theory which allows to solve the Liénard-Wiechert potentials without knowledge of the electrons* history. The 2D equilibrium structure we find is similar to already observed hexagonal lattices in [1] and shows more topological defects [2]. These defects reduce the stress onto the lattice, which is important for higher energies since a transition between the hexagonal lattice structure and the parabolic confinement of the external field needs to be made. To calculate the 3D equilibrium structure, we use a Lorentz transformation in propagation direction to model the retarded Coulomb interaction between the electrons inside the bunch. We find three-dimensional filaments in the direction of propagation, while the hexagonal structure in perpendicular direction is preserved. From a physical point of view, it is clear that the scaling originates from different competing structures that minimize the system's energy. [1] Johannes Thomas, Marc M. Günther, and Alexander Pukhov, Phys. Plasmas 24, 013101 (2017) [2] Lars Reichwein, Johannes Thomas, and Alexander Pukhov, Phys. Rev. E 98, 013201 (2018)