Journal article
Pattern-fluid interpretation of chemical turbulence
Physical Review E, Vol.91(4), Article 042907
2015
Abstract
The spontaneous formation of heterogeneous patterns is a hallmark of many nonlinear systems, from biological tissue to evolutionary population dynamics. The standard model for pattern formation in general, and for Turing patterns in chemical reaction-diffusion systems in particular, are deterministic nonlinear partial differential equations where an unstable homogeneous solution gives way to a stable heterogeneous pattern. However, these models fail to fully explain the experimental observation of turbulent patterns with spatio-temporal disorder in chemical systems. Here we introduce a pattern-fluid model as a general concept where turbulence is interpreted as a weakly interacting ensemble obtained by random superposition of stationary solutions to the underlying reaction-diffusion system. The transition from turbulent to stationary patterns is then interpreted as a condensation phenomenon, where the nonlinearity forces one single mode to dominate the ensemble. This model leads to better reproduction of the experimental concentration profiles for the "stationary phases" and reproduces the turbulent chemical patterns observed by Q. Ouyang and H. L. Swinney [Chaos 1, 411 (1991)].
Details
- Title
- Pattern-fluid interpretation of chemical turbulence
- Authors/Creators
- C. Scholz (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergG.E. Schröder-Turk (Author/Creator) - Murdoch UniversityK. Mecke (Author/Creator) - Friedrich-Alexander-Universität Erlangen-Nürnberg
- Publication Details
- Physical Review E, Vol.91(4), Article 042907
- Identifiers
- 991005542084107891
- Copyright
- © 2015 American Physical Society
- Murdoch Affiliation
- School of Engineering and Information Technology
- Language
- English
- Resource Type
- Journal article
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- Collaboration types
- Domestic collaboration
- International collaboration
- Citation topics
- 9 Mathematics
- 9.143 Dynamical Systems & Time Dependence
- 9.143.1161 Reaction-Diffusion Patterns
- Web Of Science research areas
- Physics, Fluids & Plasmas
- Physics, Mathematical
- ESI research areas
- Physics