Resonance overlap and non-linear velocity spread in Hamiltonian beam-plasma systems

TL;DR

This paper investigates the complex dynamics of beam-plasma interactions, focusing on resonance overlap and velocity spread, especially under non-perturbative conditions where traditional models fail, highlighting the importance of profile distortion over clump width.

Contribution

It introduces a detailed analysis of non-perturbative effects in beam-plasma instability and clarifies the role of profile distortion in resonance overlap at saturation.

Findings

Non-perturbative effects significantly alter dispersion relations.

Profile distortion is more predictive of resonance overlap than clump width.

Traditional inverse Landau damping models break down in certain regimes.

Abstract

We analyze some specific features of the beam-plasma instability. In particular, non-perturbative effects in the dispersion relation are studied when the standard perturbative inverse Landau damping treatment breaks down. We also elucidate how only the global distortion of the profile rather than the clump width is truly predictive of resonance overlap at saturation.