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arXiv 0810.3457cond-mat.dis-nncond-mat.stat-mech
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催化反应网络中的“玻璃态”弛豫

"Glassy" Relaxation in Catalytic Reaction Networks

Akinori Awazu, Kunihiko Kaneko

摘要:

本文研究了可逆催化反应网络中的弛豫动力学,揭示了两个与玻璃态相似的显著行为:关联函数随时间变化的缓慢弛豫,以及弛豫过程中出现的几个平台。前者是由遵循反应动力学系数分布的平衡态周围的雅可比矩阵的特征值分布来解释的。后者是与动力学约束,而不是亚稳态,是由于催化剂的化学品过量和两种化学物种之间的负相关性的不足。给出了实例,并讨论了一般性。

英文摘要:

Relaxation dynamics in reversible catalytic reaction networks is studied, revealing two salient behaviors that are reminiscent of glassy behavior: slow relaxation with log(time) dependence of the correlation function, and emergence of a few plateaus in the relaxation. The former is explained by the eigenvalue distribution of a Jacobian matrix around the equilibrium state that follows the distribution of kinetic coefficients of reactions. The latter is associated with kinetic constraints, rather than metastable states, and is due to the deficiency of catalysts for chemicals in excess and negative correlation between the two chemical species. Examples are given, and generality is discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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