2009年10月30日
Ubiquitous "glassy" relaxation in catalytic reaction networks
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
- ,
- 巻
- 80
- 号
- 4
- 開始ページ
- 041931
- 終了ページ
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1103/PhysRevE.80.041931
- 出版者・発行元
- 4 Pt 1
Study of reversible catalytic reaction networks is important not only as an issue for chemical thermodynamics but also for protocells. From extensive numerical simulations and theoretical analysis, slow relaxation dynamics to sustain nonequlibrium states are commonly observed. These dynamics show two types of salient behaviors that are reminiscent of glassy behavior: slow relaxation along with the logarithmic time dependence of the correlation function and the emergence of plateaus in the relaxation-time course. The former behavior is explained by the eigenvalue distribution of a Jacobian matrix around the equilibrium state that depends on the distribution of kinetic coefficients of reactions. The latter behavior is associated with kinetic constraints rather than metastable states and is due to the absence of catalysts for chemicals in excess and the negative correlation between two chemical species. Examples are given and generality is discussed with relevance to bottleneck-type dynamics in biochemical reactions as well. © 2009 The American Physical Society.
- ID情報
-
- DOI : 10.1103/PhysRevE.80.041931
- ISSN : 1539-3755
- ISSN : 1550-2376
- SCOPUS ID : 70449096312