at Google ScholarTitle data
Ibbeken, Gregor ; Green, Gerrit ; Wilczek, Michael:
Large-Scale Pattern Formation in the Presence of Small-Scale Random Advection.
In: Physical Review Letters.
Vol. 123
(2019)
.
- 114501.
ISSN 1079-7114
DOI: https://doi.org/10.1103/PhysRevLett.123.114501
Abstract in another language
Despite the presence of strong fluctuations, many turbulent systems such as Rayleigh-Benard convection and Taylor-Couette flow display self-organized large-scale flow patterns. How do small-scale turbulent fluctuations impact the emergence and stability of such large-scale flow patterns? Here, we approach this question conceptually by investigating a class of pattern forming systems in the presence of random advection by a Kraichnan-Kazantsev velocity field. Combining tools from pattern formation with statistical theory and simulations, we show that random advection shifts the onset and the wave number of emergent patterns. As a simple model for pattern formation in convection, the effects are demonstrated with a generalized Swift-Hohenberg equation including random advection. We also discuss the implications of our results for the large-scale flow of turbulent Rayleigh-Benard convection.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics I > Chair Theoretical Physics I - Univ.-Prof. Dr. Michael Wilczek Profile Fields > Advanced Fields > Nonlinear Dynamics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics I Profile Fields Profile Fields > Advanced Fields |
| Result of work at the UBT: | No |
| DDC Subjects: | 500 Science > 530 Physics |
| Date Deposited: | 24 Feb 2022 10:27 |
| Last Modified: | 22 Jan 2025 08:23 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/67620 |