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Spatiotemporal patterns driven by autocatalytic internal reaction noise
Centro de Astrobiología, Consejo Superior de Investigaciones Científicas, Instituto Nacional de T́cnica Aeroespacial (CSIC-INTA).
Centro de Astrobiología, Consejo Superior de Investigaciones Científicas, Instituto Nacional de T́cnica Aeroespacial (CSIC-INTA).ORCID iD: 0000-0002-4492-9650
Departamento de Bioquímica y Biología Molecular, Facultad de Ciencias Químicas, Universidad Complutense de Madrid.
2005 (English)In: Journal of Chemical Physics, ISSN 0021-9606, E-ISSN 1089-7690, Vol. 122, no 21, 214701Article in journal (Refereed) Published
Abstract [en]

The influence that intrinsic local-density fluctuations can have on solutions of mean-field reaction-diffusion models is investigated numerically by means of the spatial patterns arising from two species that react and diffuse in the presence of strong internal reaction noise. The dynamics of the Gray-Scott (GS) model [P. Gray and S. K. Scott, Chem. Eng. Sci. 38, 29 (1983); P. Gray and S. K. Scott, Chem. Eng. Sci.39, 1087 (1984); P. Gray and S. K. Scott,J. Phys. Chem. 89, 22 (1985)] with a constant external source is first cast in terms of a continuum field theory representing the corresponding master equation. We then derive a Langevin description of the field theory and use these stochastic differential equations in our simulations. The nature of the multiplicative noise is specified exactly without recourse to assumptions and turns out to be of the same order as the reaction itself, and thus cannot be treated as a small perturbation. Many of the complex patterns obtained in the absence of noise for the GS model are completely obliterated by these strong internal fluctuations, but we find novel spatial patterns induced by this reaction noise in the regions of parameter space that otherwise correspond to homogeneous solutions when fluctuations are not included

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2005. Vol. 122, no 21, 214701
National Category
Aerospace Engineering
Research subject
Atmospheric science
Identifiers
URN: urn:nbn:se:ltu:diva-65951DOI: 10.1063/1.1900092ISI: 000229700600035Scopus ID: 2-s2.0-21244471927OAI: oai:DiVA.org:ltu-65951DiVA: diva2:1146815
Available from: 2017-10-04 Created: 2017-10-04 Last updated: 2017-11-24Bibliographically approved

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Zorzano, María Paz
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