Hydrodynamic Instabilities and Nonequilibrium Phase Transitions
- Авторлар: Radkevich E.1, Lukashev E.2, Vasil’eva O.3
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Мекемелер:
- Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
- Research Institute “Geodesy”
- Moscow State University of Civil Engineering
- Шығарылым: Том 99, № 3 (2019)
- Беттер: 308-312
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225683
- DOI: https://doi.org/10.1134/S1064562419030189
- ID: 225683
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
E. Radkevich
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
Хат алмасуға жауапты Автор.
Email: evrad07@gmail.com
Ресей, Moscow, 119991
E. Lukashev
Research Institute “Geodesy”
Хат алмасуға жауапты Автор.
Email: elukashov@yandex.ru
Ресей, Krasnoarmeisk,
Moscow oblast, 141292
O. Vasil’eva
Moscow State University of Civil Engineering
Хат алмасуға жауапты Автор.
Email: vasiljeva.ovas@yandex.ru
Ресей, Moscow, 129337