Multiplicity of routes from deterministic chaos to turbulence in the flows induced by Rayleigh-Taylor instability

TL;DR

This paper investigates various pathways from deterministic chaos to turbulence in Rayleigh-Taylor instability flows, using numerical, laboratory, and oceanic data, highlighting the role of symmetry breaking and distributed chaos.

Contribution

It introduces the concept of distributed chaos to analyze multiple routes from chaos to turbulence in Rayleigh-Taylor flows, integrating simulations and real-world measurements.

Findings

Multiple routes from chaos to turbulence identified

Distributed chaos provides a unifying framework

Laboratory and oceanic data support the theoretical models

Abstract

The multiplicity of routes from deterministic chaos to turbulence caused by the spontaneous breaking of the local reflectional symmetry in the flows induced by Rayleigh-Taylor instability has been studied using the notion of distributed chaos. Results of numerical simulations, and laboratory and oceanic measurements have been used for this purpose. Small-scale chaotic MHD dynamo and chaotic Richtmyer-Meshkov mixing layer have been briefly discussed in this context.