Abstract
Two-species reaction diffusion system \(A+B\rightarrow A\) and \(A+A\rightarrow (\emptyset ,A)\) is studied in presence of long-range spreading. Long-range hops are described by Lévy flights, i.e. by a probability distribution that decays in d dimensions with a distance r according to a power-law function \(r^{-d-\sigma }\). Critical dimension \(d_c = \sigma \) depends on the control parameter for the Lévy flights \(\sigma <2\), and \(\varepsilon \) expansion is now performed in the form \(\varepsilon =\sigma -d\). The renormalization group is applied in order to determine the time dependence of the density of reacting particles.
12th CHAOS Conference Proceedings, 18–22 June 2019, Chania, Crete, Greece.
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Birnšteinová, Š., Hnatič, M., Lučivjanský, T. (2020). Effect of Long-Range Spreading on Two-Species Reaction-Diffusion System. In: Skiadas, C., Dimotikalis, Y. (eds) 12th Chaotic Modeling and Simulation International Conference. CHAOS 2019. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-39515-5_4
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