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- W4380136249 abstract "Spatiotemporal patterns are often modeled using reaction-diffusion equations, which combine complex reactions between constituents with ideal diffusive motion. Such descriptions neglect physical interactions between constituents, which might affect resulting patterns. To overcome this, we study how physical interactions affect cyclic dominant reactions, like the seminal rock-paper-scissors game, which exhibits spiral waves for ideal diffusion. Generalizing diffusion to incorporate physical interactions, we find that weak interactions change the length- and time-scales of spiral waves, consistent with a mapping to the complex Ginzburg-Landau equation. In contrast, strong repulsive interactions typically generate oscillating lattices, and strong attraction leads to an interplay of phase separation and chemical oscillations, like droplets co-locating with cores of spiral waves. Our work suggests that physical interactions are relevant for forming spatiotemporal patterns in nature, and it might shed light on how biodiversity is maintained in ecological settings." @default.
- W4380136249 created "2023-06-10" @default.
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- W4380136249 date "2023-06-07" @default.
- W4380136249 modified "2023-09-24" @default.
- W4380136249 title "Influence of physical interactions on spatiotemporal patterns" @default.
- W4380136249 doi "https://doi.org/10.48550/arxiv.2306.04882" @default.
- W4380136249 hasPublicationYear "2023" @default.
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