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- W2912793358 abstract "Many approaches to modelling reaction-diffusion systems with anomalous transport rely on deterministic equations and ignore fluctuations arising due to finite particle numbers. Starting from an individual-based model we use a generating-functional approach to derive a Gaussian approximation for this intrinsic noise in subdiffusive systems. This results in corrections to the deterministic fractional reaction-diffusion equations. Using this analytical approach, we study the onset of noise-driven quasi-patterns in reaction-subdiffusion systems. We find that subdiffusion can be conducive to the formation of both deterministic and stochastic patterns. Our analysis shows that the combination of subdiffusion and intrinsic stochasticity can reduce the threshold ratio of the effective diffusion coefficients required for pattern formation to a greater degree than either effect on its own." @default.
- W2912793358 created "2019-02-21" @default.
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- W2912793358 date "2019-05-20" @default.
- W2912793358 modified "2023-09-24" @default.
- W2912793358 title "Stochastic fluctuations and quasipattern formation in reaction-diffusion systems with anomalous transport" @default.
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- W2912793358 doi "https://doi.org/10.1103/physreve.99.052124" @default.
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- W2912793358 hasPublicationYear "2019" @default.
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