Dynamic Renormalization Group and Noise Induced Transitions in a Reaction Diffusion Model

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dc.creatorZorzano, M. -P.
dc.creatorHochberg, D.
dc.creatorMoran, F.
dc.date2005-07-06
dc.date2005-07-07
dc.date.accessioned2026-07-07T03:05:55Z
dc.date.available2026-07-07T03:05:55Z
dc.descriptionWe investigate how additive weak noise (correlated as well as uncorrelated) modifies the parameters of the Gray-Scott (GS) 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.
dc.description8 pages, 21 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0507139
dc.identifierhttp://arxiv.org/abs/cond-mat/0507139
dc.identifierPhysica A 334 (2004) 67-77
dc.identifierdoi:10.1016/j.physa.2003.10.064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26624
dc.subjectOther Condensed Matter
dc.titleDynamic Renormalization Group and Noise Induced Transitions in a Reaction Diffusion Model
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