Self-organized criticality of a catalytic reaction network under flow

Physical Review E 80 巻 1 号 2009-07-06 発行
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タイトル ( eng )
Self-organized criticality of a catalytic reaction network under flow
作成者
Kaneko Kunihiko
収録物名
Physical Review E
80
1
抄録
Self-organized critical behavior in a catalytic reaction network system induced by smallness in the molecule number is reported. The system under a flow of chemicals is shown to undergo a transition from a stationary to an intermittent reaction phase when the flow rate is decreased. In the intermittent reaction phase, two temporal regimes with active and halted reactions alternate. The number frequency of reaction events at each active regime and its duration time are shown to obey a universal power law with the exponents 4/3 and 3/2, respectively, independently of the parameters and network structure. These power laws are explained by a one-dimensional random-walk representation of the number of catalytically active chemicals. Possible relevance of the result to reaction dynamics in artificial and biological cells is briefly discussed.
NDC分類
物理学 [ 420 ]
言語
英語
資源タイプ 学術雑誌論文
出版者
Amer Physical Soc
発行日 2009-07-06
権利情報
Copyright (c) 2009 American Physical Society.
出版タイプ Version of Record(出版社版。早期公開を含む)
アクセス権 オープンアクセス
収録物識別子
[ISSN] 1539-3755
[DOI] 10.1103/PhysRevE.80.010902
[NCID] AA11558033
[DOI] http://dx.doi.org/10.1103/PhysRevE.80.010902