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Consequences of imperfect mixing the Gray-Scott model
Centro de Astrobiología (CSIC-INTA).ORCID iD: 0000-0002-4492-9650
Centro de Astrobiología (CSIC-INTA).
Centro de Astrobiología (CSIC-INTA).
2006 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 74, no 5, 057102Article in journal (Refereed) Published
Abstract [en]

We study an autocatalytic reaction-diffusion scheme, the Gray-Scott model, when the mixing processes do not homogenize the reactants. Starting from the master equation, we derive the resulting coupled, nonlinear, stochastic partial differential equations that rigorously include the spatiotemporal fluctuations resulting from the interplay between the reaction and mixing processes. The fields are complex and depend on correlated complex noise terms. We implement a method to solve for these complex fields numerically and extract accurate information about the system evolution and stationary states under different mixing regimes. Through this example, we show how the reaction-induced fluctuations interact with the temporal nonlinearities, leading to results that differ significantly from the mean-field (perfectly mixed) approach. This procedure can be applied to an arbitrary nonlinear reaction diffusion scheme

Place, publisher, year, edition, pages
2006. Vol. 74, no 5, 057102
National Category
Aerospace Engineering
Research subject
Atmospheric science
Identifiers
URN: urn:nbn:se:ltu:diva-65738DOI: 10.1103/PhysRevE.74.057102Scopus ID: 2-s2.0-33751178397OAI: oai:DiVA.org:ltu-65738DiVA: diva2:1142695
Available from: 2017-09-20 Created: 2017-09-20 Last updated: 2017-11-29Bibliographically approved

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Zorzano, María Paz
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Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Aerospace Engineering

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