Nonquasilinear evolution of particle velocity in incoherent waves with random amplitudes

TL;DR

This paper numerically investigates the one-dimensional motion of particles in incoherent wave fields, revealing that the quasilinear approximation overestimates transport unless resonance overlap is infinite.

Contribution

It demonstrates through numerical analysis that the quasilinear approximation's accuracy depends on resonance overlap in incoherent wave fields.

Findings

Quasilinear approximation overestimates particle transport.

Accuracy improves with increasing resonance overlap.

Results are based on numerical simulations of particles in Gaussian-distributed wave fields.

Abstract

The one-dimensional motion of $N$ particles in the field of many incoherent waves is revisited numerically. When the wave complex amplitudes are independent, with a gaussian distribution, the quasilinear approximation is found to always overestimate transport and to become accurate in the limit of infinite resonance overlap.