Oscillations in turbulence-condensate system

TL;DR

This paper investigates oscillations in a turbulence-condensate system modeled by the Gross-Pitaevsky equation, revealing that periodic exchanges between turbulence and condensate are driven by phase coherence and correlations, not predator-prey dynamics.

Contribution

It demonstrates that turbulence-condensate oscillations are caused by phase coherence and anomalous correlations, challenging previous predator-prey explanations.

Findings

Oscillations persist despite turbulence being fully developed.

Oscillations are driven by phase coherence and anomalous correlations.

The system exhibits non-decaying periodic behavior in a turbulence regime.

Abstract

We consider developed turbulence in the Gross-Pitaevsky model where condensate appears due to an inverse cascade. Despite being fully turbulent, the system demonstrates non-decaying periodic oscillations around a steady state, when turbulence and condensate periodically exchange a small fraction of waves. We show that these collective oscillations are not of a predator-prey type, as was suggested earlier; they are due to phase coherence and anomalous correlations imposed by the condensate.