Self-Organization of Vortex Length Distribution in Quantum Turbulence: An Approach from the Barabasi-Albert Model

TL;DR

This paper models the vortex length distribution in quantum turbulence using a network growth model inspired by the Barabasi-Albert model, successfully reproducing the observed power law behavior.

Contribution

It introduces a novel approach linking quantum turbulence vortex distributions to network growth models, providing insights into their power law characteristics.

Findings

The model reproduces the power law VLD observed in experiments.

The approach connects quantum turbulence decay to network theory.

It offers a new perspective on vortex dynamics in quantum fluids.

Abstract

The energy spectrum of quantum turbulence obeys Kolmogorov's law. The vortex length distribution (VLD), meaning the size distribution of the vortices, in Kolmogorov quantum turbulence also obeys a power law. We propose here an innovative idea to study the origin of the power law of the VLD. The nature of quantized vortices allows one to describe the decay of quantum turbulence with a simple model that is similar to the Barabasi-Albert model of large networks. We show here that such a model can reproduce the power law of the VLD well.