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Dynamic renormalization group and noise induced transitions in a reaction diffusion model
Ctro. de Astrobiologa (CSIC/INTA), NASA Astrobiology Institute.ORCID iD: 0000-0002-4492-9650
Ctro. de Astrobiologa (CSIC/INTA), NASA Astrobiology Institute.
Ctro. de Astrobiologa (CSIC/INTA), NASA Astrobiology Institute.
2004 (English)In: Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, E-ISSN 1873-2119, Vol. 334, no 1-2, 67-77 p.Article in journal (Refereed) Published
Abstract [en]

We investigate how additive weak noise (correlated as well as uncorrelated) modifies the parameters of the Gray-scott reaction diffusion system by performing numerical simulations and applying a renormalization group (RG) analysis in the neighborhood of the spatial scale where biochemical reactions take place. One can obtain the same sequence of spatial-temporal patterns by means of two equivalent routes: (i) by increasing only the noise intensity and keeping all other model parameters fixed; or (ii) keeping the noise fixed, and adjusting certain model parameters to their running scale-dependent values as predicted by the RG. This explicit demonstration validates the dynamic RG transformation for finite scales in a two-dimensional stochastic model and provides further physical insight into the coarse-graining analysis proposed by this scheme. Through several study cases we explore the role of noise and its temporal correlation in self-organization and propose a way to drive the system into a new desired state in a controlled way.

Place, publisher, year, edition, pages
Elsevier, 2004. Vol. 334, no 1-2, 67-77 p.
National Category
Aerospace Engineering
Research subject
Atmospheric science
Identifiers
URN: urn:nbn:se:ltu:diva-66351DOI: 10.1016/j.physa.2003.10.064Scopus ID: 2-s2.0-0942277597OAI: oai:DiVA.org:ltu-66351DiVA: diva2:1154176
Available from: 2017-11-01 Created: 2017-11-01 Last updated: 2017-11-24Bibliographically approved

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Zorzano, María Paz
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