Ubiquitous "glassy" relaxation in catalytic reaction networks.
Ubiquitous "glassy" relaxation in catalytic reaction networks.
复制标题
催化反应网络中普遍存在的“玻璃态”弛豫。
DOI：
10.1103/physreve.80.041931
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
K. Kaneko
中科院分区：
文献类型：
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作者：
A. Awazu;K. Kaneko
可逆催化反应网络的研究不仅是化学热力学的一个重要问题，而且对原始细胞也很重要。从广泛的数值模拟和理论分析中，通常可以观察到维持非平衡状态的慢弛豫动力学。这些动力学表现出两种让人想起玻璃态行为的显著行为：伴随相关函数的对数时间依赖性的缓慢弛豫，以及弛豫时间过程中出现的高原。前一种行为由雅可比矩阵在平衡态周围的特征值分布来解释，该特征值分布取决于反应动力学系数的分布。后一种行为与动力学约束有关，而不是亚稳态，这是由于缺乏过量化学物质的催化剂和两种化学物质之间的负相关。文中给出了实例，并讨论了其通用性，以及与生化反应中的瓶颈型动力学的相关性。
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.
DOI：
--
发表时间：
2004
期刊：
Physical Review Letters 92
影响因子：
--
作者：
Akinori Awazu;Kunihiko Kaneko
通讯作者：
Kunihiko Kaneko