Hydrodynamic Instabilities and Nonequilibrium Phase Transitions


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Resumo

For the laminar–turbulent transition, a model of reconstructing the initial stage of an instability treated as a nonequilibrium phase transition is developed. Its mechanism is based on diffusion stratification. It is shown that the Gibbs free energy of the deviation from the homogeneous state (with respect to the instability under consideration) is an analogue of the Ginzburg–Landau potentials. Numerical experiments concerning the self-excitation of a homogeneous state by applying a boundary control condition in the form of an increasing velocity were performed. Under an external influence (an increase in the velocity as input), the system exhibits a transition to chaos through period-doubling bifurcations similar to the Feigenbaum period-doubling cascade.

Sobre autores

E. Radkevich

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University

Autor responsável pela correspondência
Email: evrad07@gmail.com
Rússia, Moscow, 119991

E. Lukashev

Research Institute “Geodesy”

Autor responsável pela correspondência
Email: elukashov@yandex.ru
Rússia, Krasnoarmeisk, Moscow oblast, 141292

O. Vasil’eva

Moscow State University of Civil Engineering

Autor responsável pela correspondência
Email: vasiljeva.ovas@yandex.ru
Rússia, Moscow, 129337

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