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Dynamic renormalization group and noise induced transitions in a reaction diffusion model
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- Zorzano, María Paz (author)
- Ctro. de Astrobiologa (CSIC/INTA), NASA Astrobiology Institute
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- Hochberg, David (author)
- Ctro. de Astrobiologa (CSIC/INTA), NASA Astrobiology Institute
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- Morán, Federico (author)
- Ctro. de Astrobiologa (CSIC/INTA), NASA Astrobiology Institute
- Ctro de Astrobiologa (CSIC/INTA), NASA Astrobiology Institute (creator_code:org_t)
- Elsevier, 2004
- 2004
- English.
- In: Physica A. - : Elsevier. - 0378-4371 .- 1873-2119. ; 334:1-2, s. 67-77
- Journal article (peer-reviewed)
Abstract
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- 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.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Rymd- och flygteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Aerospace Engineering (hsv//eng)
Keyword
- Atmosfärsvetenskap
- Atmospheric science
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- ref (subject category)
- art (subject category)
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- Luleå University of Technology
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