Turbulence: from Complexity to Variety

TL;DR

This paper distinguishes between complexity and variety in fluid flows, emphasizing that turbulence represents a state of high diversity rather than mere complexity, with implications for understanding natural phenomena.

Contribution

It introduces the concept of variety as a distinct notion from complexity, providing a new perspective on turbulence and flow transitions in natural systems.

Findings

Turbulence is characterized by variety, not just complexity.

Flow instabilities lead to transitions that increase system diversity.

Natural turbulent flows exhibit high diversity and opportunities for exploitation.

Abstract

In this note we advocate the notion of variety as juxtaposed to the notion of complexity. Laminar flows are complex, turbulence is various. When the gradients reach a critical point, laminar flows are subjected to instabilities and transitions, sometime soft, sometime dramatic, and the final result is the variety. Turbulent flows in nature are fascinating, and loosely speaking we could say that a system is complex when differences are suffered, is various when diversities are enjoyed and exploited as opportunities.