Hydrodynamic Instabilities and Nonequilibrium Phase Transitions
- 作者: Radkevich E.1, Lukashev E.2, Vasil’eva O.3
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隶属关系:
- Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
- Research Institute “Geodesy”
- Moscow State University of Civil Engineering
- 期: 卷 99, 编号 3 (2019)
- 页面: 308-312
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225683
- DOI: https://doi.org/10.1134/S1064562419030189
- ID: 225683
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详细
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.
作者简介
E. Radkevich
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
编辑信件的主要联系方式.
Email: evrad07@gmail.com
俄罗斯联邦, Moscow, 119991
E. Lukashev
Research Institute “Geodesy”
编辑信件的主要联系方式.
Email: elukashov@yandex.ru
俄罗斯联邦, Krasnoarmeisk,
Moscow oblast, 141292
O. Vasil’eva
Moscow State University of Civil Engineering
编辑信件的主要联系方式.
Email: vasiljeva.ovas@yandex.ru
俄罗斯联邦, Moscow, 129337