Relaxed plasma equilibria and entropy-related plasma self-organization principles

TL;DR

This paper reviews plasma relaxation as a constrained energy minimization, discusses recent generalizations to 3D systems consistent with chaos theory, and explores entropy-based methods for steady-state plasma analysis.

Contribution

It introduces a generalized variational approach for 3D plasma relaxation aligned with chaos theory and compares it with other entropy-based steady-state methods.

Findings

Generalized relaxation approach for 3D plasmas

Connection between relaxation principles and chaos theory

Insights into thermodynamic aspects of plasma self-organization

Abstract

The concept of plasma relaxation as a constrained energy minimization is reviewed. Recent work by the authors on generalizing this approach to partially relaxed three-dimensional plasma systems in a way consistent with chaos theory is discussed, with a view to clarifying the thermodynamic aspects of the variational approach used. Other entropy-related approaches to finding long-time steady states of turbulent or chaotic plasma systems are also briefly reviewed.