# Elucidating plasma dynamics in Hasegawa-Wakatani turbulence by information geometry

## TL;DR

This paper uses information geometry to analyze plasma turbulence in the Hasegawa-Wakatani model, revealing intermittent dynamics and the influence of adiabatic electron effects through a novel information length metric.

## Contribution

It introduces the application of information length to quantify statistical state changes in plasma turbulence, providing new insights into adiabatic electron effects.

## Key findings

- Identification of intermittent plasma dynamics via information length
- Demonstration of the impact of adiabatic index A on turbulence behavior
- Quantitative analysis of fluctuation statistics over time

## Abstract

The impact of adiabatic electrons on drift-wave turbulence, modelled by the Hasegawa-Wakatani equations, is studied using information length. Information length is a novel theoretical method for measuring distances between statistical states represented by different probability distribution functions (PDFs) along the path of a system. Specifically, the time-dependent PDFs of turbulent fluctuations for a given adiabatic index $A$ is computed. The changes in fluctuation statistics are then quantified in time by using information length. The numerical results provide time traces exhibiting intermittent plasma dynamics, and such behaviour is identified by a rapid change in the information length. The effects of $A$ are discussed.