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Large-Scale Pattern Formation in the Presence of Small-Scale Random Advection

Title 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) Issue 11 . - No. 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
Result of work at the UBT: No
DDC Subjects: 500 Science > 530 Physics
Date Deposited: 24 Feb 2022 10:27
Last Modified: 24 Feb 2022 10:27
URI: https://eref.uni-bayreuth.de/id/eprint/67620