Particle momentum variation under interaction with wavepackets of finite spatial width

TL;DR

This paper investigates how finite spatial width of wavepackets affects particle momentum and energy variations during interactions, revealing nonlinear effects and complex collective dynamics through analytical and numerical methods.

Contribution

It provides a detailed analysis of the influence of wavepacket width on particle dynamics, highlighting nonlinear effects and the transition from single to collective behavior.

Findings

Finite wavepacket width significantly impacts particle momentum variation.

Strong nonlinear effects lead to complex collective particle behavior.

Analytical results are validated and their validity range is defined.

Abstract

The single and collective particle interaction with spatially localized wavepackets is analytically and numerically studied. The role of the finite spatial width of the wavepacket on the momentum and energy variation of particles passing through the wavepacket is investigated. The range of validity of analytical results, based on a perturbative approach, is investigated and clearly defined. Strongly nonlinear effects are shown to qualitatively differentiate the collective particle dynamics, for larger interaction strengths. These effects are manifested through the complex dependency of averaged momentum variations on the initial particle momentum, as shown by dissecting a particle distribution in terms of partitioning the ensemble of particles with respect to their initial momentum. The results provide understanding on the relation between single and collective particle dynamics and the emerging of complexity for weak and strong particle interactions with localized wavepackets.