# Vortex Thermometry for Turbulent Two-Dimensional Fluids

## TL;DR

This paper presents a novel vortex thermometry method to analyze two-dimensional turbulent fluids, confirming vortex evaporative heating and discovering new vortex power-law distributions in superfluid turbulence.

## Contribution

Introduces vortex thermometry for 2D turbulence, linking vortex distributions to temperature and revealing new vortex power-law behaviors.

## Key findings

- Vortex thermometry accurately characterizes vortex gas temperature.
- Confirmed vortex evaporative heating leading to Onsager vortices.
- Discovered new vortex power-law distributions in turbulence.

## Abstract

We introduce a new method of statistical analysis to characterise the dynamics of turbulent fluids in two dimensions. We establish that, in equilibrium, the vortex distributions can be uniquely connected to the temperature of the vortex gas, and apply this vortex thermometry to characterise simulations of decaying superfluid turbulence. We confirm the hypothesis of vortex evaporative heating leading to Onsager vortices proposed in Phys. Rev. Lett. 113, 165302 (2014), and find previously unidentified vortex power-law distributions that emerge from the dynamics.