Global convective cell formation in pair-ion plasmas

TL;DR

This paper analyzes the global electrostatic mode in pair-ion plasmas with cylindrical and inhomogeneous density profiles, revealing a convective cell structure with exact solutions in Gaussian density profiles.

Contribution

It provides the first analytical solutions for the electrostatic mode in pair-ion plasmas with radially inhomogeneous density profiles, identifying a convective cell structure.

Findings

Exact eigen solutions in Gaussian density profiles using hypergeometric functions

Identification of a convective cell mode propagating poloidally and axially

Mode exhibits standing wave structure radially

Abstract

The global electrostatic mode in pair-ion plasmas is discussed for cylindric geometry and for a radially inhomogeneous equilibrium density. In the case of a Gaussian radial density profile, exact analytical eigen solutions are found in terms of the Kummer confluent hypergeometric functions. The mode is identified as a convective cell propagating in the poloidal and axial direction, having at the same time a standing wave structure in the radial direction.