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Renormalization-group approach to simple reaction-diffusion phenomena

Published inPhysical review. E, Statistical, nonlinear, and soft matter physics, vol. 48, no. 4, p. R2343-R2346
Publication date1993
Abstract

A field-theoretical model describing simple one-species reaction-diffusion systems [A+A→O (inert) or A+A→A] with an external source is analyzed from a renormalization-group point of view. It is shown that when the dimension of the system is larger than the upper critical dimension du=2, the behavior of the system is governed by a trivial fixed point dominated by diffusion. Below the upper critical dimension, a line of fixed points governs the behavior. Reaction and diffusion processes play an equally important role resulting in a so-called anomalous kinetic behavior. This approach confirms previous scaling arguments. Possible generalizations to more complicated models are discussed.

Citation (ISO format)
DROZ, Michel, SASVÁRI, László. Renormalization-group approach to simple reaction-diffusion phenomena. In: Physical review. E, Statistical, nonlinear, and soft matter physics, 1993, vol. 48, n° 4, p. R2343–R2346. doi: 10.1103/PhysRevE.48.R2343
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ISSN of the journal1539-3755
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