The Kinetic Analogue of the Pressure-Strain Interaction

TL;DR

This paper introduces a kinetic analogue of the pressure-strain interaction, enabling detailed phase-space analysis of energy transfer in weakly collisional plasmas, demonstrated through electron Landau damping case studies.

Contribution

It derives a kinetic version of the pressure-strain interaction and combines it with the field-particle correlation technique for enhanced energy transfer analysis.

Findings

Kinetic pressure-strain analogue effectively captures energy transfer mechanisms.

The combined approach clarifies the role of Landau damping in energy dissipation.

Phase-space diagnostics outperform fluid models in revealing kinetic processes.

Abstract

Energy transport in weakly collisional plasma systems is often studied with fluid models and diagnostics. However, the applicability of fluid models is necessarily limited when collisions are weak or absent, and using a fluid approach can obscure kinetic processes that provide key insights into the physics of energy transport. A kinetic technique that retains all of the information in 3D-3V phase-space for the study of energy transfer between electromagnetic fields and particle kinetic energy, which is quantified by the rate of electromagnetic work per unit volume $\mathbf{j} \cdot \mathbf{E}$ in fluid models, is the Field- Particle Correlation (FPC) technique. This technique has demonstrated that leveraging the full information contained in phase-space can elucidate the physical mechanisms of energy transfer. This provides a significant advantage over fluid diagnostics that quantify the rate at which energy is exchanged but do not distinguish between different physical processes. A different channel of energy transport, between fluid flow energy and particle internal energy, is quantified in fluid models via the pressure-strain interaction $-(\mathbf{P} \cdot \nabla ) \cdot \mathbf{u}$. Using a similar approach to that of the field-particle correlation technique, in this work we derive a kinetic analog of the pressure-strain interaction and use it alongside the field-particle correlation to analyze the flow of energy from electromagnetic fields into particle internal energy in two case studies of electron Landau damping.