Formulation of a one-dimensional electrostatic plasma model for testing the validity of kinetic theory

TL;DR

This paper introduces a 1-D electrostatic plasma model with charged disks to test the validity of the Bogoliubov assumption on particle correlation decay, bridging 1-D and 3-D plasma features.

Contribution

It presents a novel 1-D disk-based plasma model for validating kinetic theory assumptions through numerical analysis of the Vlasov equation.

Findings

Model captures short-range 1-D and long-range 3-D plasma features

Framework for numerical validation of the Bogoliubov assumption

Potential to improve understanding of plasma correlation decay

Abstract

We present a one-dimensional (1-D) model composed of aligned, electrostatically interacting charged disks, conceived in order to address in a computable model the validity of the Bogoliubov assumption on the decay of particle correlations in the Born-Bogoliubov-Green-Kirkwood-Yvon hierarchy. This assumption is a basic premise of plasma kinetic theory. The disk model exhibits spatially 1-D features at short distances, but retains 3-D features at large distances. Here the collective dynamics of this model plasma is investigated by solving the corresponding Vlasov equation. In addition, the implementation of the model for the numerical validation of the Bogoliubov assumption is formulated.