Open AccessHydrodynamic instabilities and nonequilibrium phase transitions
Author(s) -
Е. В. Радкевич,
E. A. Lukashev,
О. А. Васильева
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524865537-542
Subject(s) - instability , non equilibrium thermodynamics , physics , reynolds number , cascade , turbulence , period doubling bifurcation , statistical physics , phase transition , mechanics , homogeneous , stratification (seeds) , laminar flow , classical mechanics , bifurcation , condensed matter physics , thermodynamics , quantum mechanics , chemistry , nonlinear system , seed dormancy , germination , botany , chromatography , dormancy , biology
For laminar-turbulent transition model is built reconstruction of the initial stage of instability as a nonequilibrium phase transition, the mechanism of which is diffusion stratification. It is shown that the Gibbs free energy deviations from the homogeneous state (relative to the instability under consideration) is an analogue Ginzburg-Landau potentials. Numerical experiments were performed. Self-excitation of a homogeneous state by edge control condition of increasing speed. Under external influence (increase in speed at the input), there is a transition to chaos through bifurcations of period doubling, when the internal control parameter (analogue of the Reynolds number) changes, like the Feigenbaum period doubling cascade.