RENORMALIZATION-GROUP APPROACH TO SIMPLE REACTION-DIFFUSION PHENOMENA

Authors
Citation
M. Droz et L. Sasvari, RENORMALIZATION-GROUP APPROACH TO SIMPLE REACTION-DIFFUSION PHENOMENA, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(4), 1993, pp. 180002343-180002346
Citations number
23
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
48
Issue
4
Year of publication
1993
Pages
180002343 - 180002346
Database
ISI
SICI code
1063-651X(1993)48:4<180002343:RATSRP>2.0.ZU;2-6
Abstract
A field-theoretical model describing simple one-species reaction-diffu sion systems [A + A --> O (inert) or A + A --> A] with an external sou rce is analyzed from a renormalization-group point of view. It is show n that when the dimension of the system is larger than the upper criti cal dimension d(u) = 2, the behavior of the system is governed by a tr ivial fixed point dominated by diffusion. Below the upper critical dim ension, a line of fixed points governs the behavior. Reaction and diff usion processes play an equally important role resulting in a so-calle d anomalous kinetic behavior. This approach confirms previous scaling arguments. Possible generalizations to more complicated models are dis cussed.