Synergetic Approach to Constructing a Structured Turbulence Model

Abstract

The aim of this article is to acquaint the reader to the rapidly developing stochastic-thermodynamic theory of irreversible processes using as an example the modeling of structured turbulence. Here, we consider a synergetic approach to the development of a phenomenological model of extremely developed turbulence in a compressible homogeneous fluid, taking into account the nonlinear cooperative processes in it. Inclusion in the model of a set of random variables as internal parameters of the turbulent chaos subsystem, associated with its microstructure, makes it possible in this case to derive, using thermodynamic methods, the Fokker–Planck–Kolmogorov (FPK) kinetic equations in configuration space. Stabilization of the chaos subsystem near the next stationary nonequilibrium state in configuration space corresponds to the transition of the turbulent system to a new state, adequate to the emergence of complex spatiotemporal CSs in a turbulent flow.