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Can I read Turing’s Diffusive Threshold in Random Reaction-Diffusion Systems on EtoBox?
Turing’s Diffusive Threshold in Random Reaction-Diffusion Systems by Pierre A. Haas; Raymond E. Goldstein is a Physics and Astronomy article available to read on EtoBox.
What is Turing’s Diffusive Threshold in Random Reaction-Diffusion Systems about?
Turing instabilities of reaction-diffusion systems can only arise if the diffusivities of the chemical species are sufficiently different. This threshold is unphysical in most systems with N 1⁄4 2 diffusing species, forcing experimental realizations of the instability to rely on fluctuations or additional nondiffusing species. Here, we ask whether this diffusive threshold lowers for N > 2 to allow "true" Turing instabilities. Inspired by May's analysis of the stability of random ecological communities, we analyze the probability distribution of the diffusive threshold in reaction-diffusion systems defined by random matrices describing linearized dynamics near a homogeneous fixed point. In the numerically tractable cases N ⩽ 6, we find that the diffusive threshold becomes more likely to be smaller and physical as N increases, and that most of these many-species instabilities cannot be described by reduced models with fewer diffusing species.
Who reads Turing’s Diffusive Threshold in Random Reaction-Diffusion Systems?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- Pierre A. Haas; Raymond E. Goldstein
- Publisher
- American Physical Society (APS)
- Published
- 2021
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)