English

Collisionless relaxation in non-neutral plasmas

Statistical Mechanics 2009-11-13 v1 Accelerator Physics Plasma Physics

Abstract

A theoretical framework is presented which allows to quantitatively predict the final stationary state achieved by a non-neutral plasma during a process of collisionless relaxation. As a specific application, the theory is used to study relaxation of charged-particles beams. It is shown that a fully matched beam relaxes to the Lynden-Bell distribution. However, when a mismatch is present and the beam oscillates, parametric resonances lead to a core-halo phase separation. The approach developed accounts for both the density and the velocity distributions in the final stationary state.

Keywords

Cite

@article{arxiv.0712.1921,
  title  = {Collisionless relaxation in non-neutral plasmas},
  author = {Yan Levin and Renato Pakter and Tarcisio N. Teles},
  journal= {arXiv preprint arXiv:0712.1921},
  year   = {2009}
}

Comments

Accepted in Phys. Rev. Lett

R2 v1 2026-06-21T09:53:15.726Z