Self-organized multiscale structures in thermally relativistic electron-positron-ion plasmas

TL;DR

This paper explores how multiscale vortex structures self-organize in thermally relativistic electron-positron-ion plasmas, revealing the influence of temperature and positron density on their formation and properties.

Contribution

It introduces the concept of triple Beltrami states in relativistic plasmas and analyzes how eigenvalues and vortex structures depend on thermal energy and positron density.

Findings

Eigenvalues become real with increased thermal energy or decreased positron density.

Self-organized vortices vary on different length scales, relevant to dynamo theory.

Relativistic temperature and positron density significantly affect vortex formation.

Abstract

The self-organization of a thermally relativistic magnetized plasma comprising of electrons, positrons and static ions is investigated. The self-organized state is found to be the superposition of three distinct Beltrami fields known as triple Beltrami (TB) state. In general, the eigenvalues associated with the multiscale self-organized vortices may be a pair of complex conjugate and real one. It is shown that all the eigenvalues become real when thermal energy increases or the positron density decreases. The impact of relativistic temperature and positron density on the formation of self-organized structures is investigated. The self-organized field and flow vortices may vary simultaneously on vastly different length scales. The disparate variation of self-organized vortices is important in the context of dynamo theory. The present work is useful to study the formation of multiscale vortices and dynamo mechanisms in multi-species thermally relativistic plasmas.