Formation of bound states of electrons in spherically symmetric oscillations of plasma

TL;DR

This paper investigates how spherically symmetric oscillations of electrons in plasma can lead to attractive interactions, potentially forming bound states that influence plasma structures like natural plasmoids.

Contribution

It introduces a classical electrodynamics analysis of electron oscillations in plasma, revealing attractive interactions via ion acoustic wave exchange and the possibility of bound state formation.

Findings

Effective potential can be attractive and surpass Debye-Huckel potential.

Electrons can form bound states during initial plasma structure evolution.

Results have implications for understanding natural plasma formations.

Abstract

We study spherically symmetric oscillations of electrons in plasma in the frame of classical electrodynamics. Firstly, we analyze the electromagnetic potentials for the system of radially oscillating charged particles. Secondly, we consider both free and forced spherically symmetric oscillations of electrons. Finally, we discuss the interaction between radially oscillating electrons through the exchange of ion acoustic waves. It is obtained that the effective potential of this interaction can be attractive and can transcend the Debye-Huckel potential. We suggest that oscillating electrons can form bound states at the initial stages of the spherical plasma structure evolution. The possible applications of the obtained results for the theory of natural plasmoids are examined.