On the quadruple Beltrami fields in thermally relativistic electron-positron-ion plasma

TL;DR

This paper explores the structure of quadruple Beltrami fields in thermally relativistic electron-positron-ion plasmas, revealing how temperature and density influence their properties and potential for field generation in various plasma environments.

Contribution

It introduces a detailed analysis of quadruple Beltrami fields in relativistic plasmas, highlighting the conditions for real scale parameters and implications for plasma self-organization.

Findings

Scale parameters become real at higher relativistic temperatures and ion densities.

Relativistic effects lead to paramagnetic structures in the plasma.

Scale separation enables field and flow generation in relativistic plasmas.

Abstract

A thermally relativistic electron-positron-ion (EPI) plasma self-organizes into a quadruple Beltrami (QB) field. The QB field, which is the combination of four Beltrami fields, is described by four scale parameters. These scale parameters are often either real or both real and complex in nature. The values of the scale parameters are determined by Beltrami parameters, relativistic temperatures, and the densities of plasma species. It is demonstrated that all the scale parameters become real at higher relativistic temperatures and ion densities, which naturally lead to paramagnetic structures. It is also shown that the scale separation in the QB state provides the possibility of field and flow generation in such thermally relativistic plasmas. The present study may have implications for space, astrophysical and laboratory plasmas.