# Observation of thermal equilibrium in capillary wave turbulenc

## TL;DR

This study demonstrates that at scales larger than the forcing, capillary wave turbulence reaches a thermal equilibrium state characterized by an effective temperature linked to the injected power, with specific scaling laws and statistical properties.

## Contribution

It provides the first experimental evidence of thermal equilibrium in large-scale capillary wave turbulence and characterizes its statistical and scaling properties.

## Key findings

- Surface wave dynamics follow a thermal equilibrium state.
- Effective temperature correlates with injected power.
- Scaling laws describe the evolution of the system.

## Abstract

We consider capillary wave turbulence at scales larger than the forcing one. At such scales, our measurements show that the surface waves dynamics is the one of a thermal equilibrium state in which the effective temperature is related to the injected power. We characterize this evolution with a scaling law and report the statistical properties of the large-scale surface elevation depending on this effective temperature.