Equilibrium and non-equilibrium time-reversible dynamical ensembles relevant to chiral turbulence

TL;DR

This paper develops theoretical frameworks for equilibrium and non-equilibrium time-reversible dynamical ensembles in helical turbulence, exploring their implications for controlling helicity and related physical phenomena.

Contribution

It introduces a novel helical time-reversible system for non-equilibrium ensembles and discusses their applications in turbulence control and statistical mechanics.

Findings

Helical time-reversible systems can model non-equilibrium turbulence.

Controlling helicity influences aerodynamic force, heat, and noise.

Theoretical insights into compressible turbulence and statistical mechanics.

Abstract

Ideas and theories of turbulence based on modifying the Navier-Stokes equation, to obtain equilibrium and non-equilibrium time-reversible dynamical ensembles relevant to helical turbulence, are presented. Discussions of controlling helicity to control the aerodynamic force, heat and noise are presented, together with the compressible turbulence relevant statistical mechanics analysis. A helical time-reversible system for nonequilibrium dynamical ensemble is constructed. Applications are also remarked.