Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models

TL;DR

This paper explores the continuous symmetries in plasma physics models, analyzing their extensions and the physical reasons behind these symmetries in both hydrodynamic and kinetic frameworks.

Contribution

It provides a detailed analysis of symmetry extensions in plasma models and clarifies the physical basis for these symmetries.

Findings

Identification of continuous symmetries in plasma models

Discussion of conditional and extended symmetries

Clarification of physical reasons for symmetry extensions

Abstract

Characteristic examples of continuous symmetries in hydrodynamic plasma theory (partial differential equations) and in kinetic Vlasov-Maxwell models (integro-differential equations) are considered. Possible symmetry extensions conditional and extended symmetries are discussed. Physical reasons for these symmetry extensions are clarified.