English

Upper and Lower Bounds on Phase-Space Rearrangements

Plasma Physics 2024-05-10 v1

Abstract

Broad classes of plasma phenomena can be understood in terms of phase-space rearrangements. For example, the net effect of a wave-particle interaction may consist of moving populations of particles from one region of phase space to another. Different phenomena drive rearrangements that obey different rules. When those rules can be specified, it is possible to calculate bounds that limit the possible effects the rearrangement could have (such as limits on how much energy can be extracted from the particles). This leads to two problems. The first is to understand the mapping between the allowed class of rearrangements and the possible outcomes that these rearrangements can have on the overall distribution. The second is to understand which rules are appropriate for which physical systems. There has been recent progress on both fronts, but a variety of interesting questions remain.

Keywords

Cite

@article{arxiv.2405.05835,
  title  = {Upper and Lower Bounds on Phase-Space Rearrangements},
  author = {E. J. Kolmes and N. J. Fisch},
  journal= {arXiv preprint arXiv:2405.05835},
  year   = {2024}
}

Comments

10 pages, 5 figures. Part of Special Collection: Papers from the 65th Annual Meeting of the APS Division of Plasma Physics

R2 v1 2026-06-28T16:22:15.427Z