Clues on chemical mechanisms from renormalizability: The example of a noisy cubic autocatalytic model

Jean-Sébastien Gagnon and Juan Pérez-Mercader

Physica A: Statistical Mechanics and its Applications, 2017, vol. 480, issue C, 51-62

Abstract: We study the effect of external power-law noise on the renormalizability of a specific reaction–diffusion system of equations describing a cubic autocatalytic chemical reaction. We show that changing the noise exponent modifies the divergence structure of loop integrals and thus the renormalizability of the model. The effects of noise-generated higher order interactions are discussed. We show how noise induces new interaction terms that can be interpreted as a manifestation of some (internal) “chemical mechanism”. We also show how ideas of effective field theory can be applied to construct a more fundamental chemical model for this system.

Keywords: Reaction–diffusion; Chemical model; Power-law noise; Renormalization; Effective field theory (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:480:y:2017:i:c:p:51-62

DOI: 10.1016/j.physa.2017.04.002

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