"Glassy" Relaxation in Catalytic Reaction Networks

Abstract

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.

References in corpus (4)

• Glassy dynamics of kinetically constrained models
• Geometry-induced asymmetric diffusion
• Discreteness-induced Transition in Catalytic Reaction Networks
• Jamming percolation and glassy dynamics

Cited by in corpus (7)

• Generic temperature compensation of biological clocks by autonomous regulation of catalyst concentration
• Growth states of catalytic reaction networks exhibiting energy metabolism
• Discreteness-Induced Slow Relaxation in Reversible Catalytic Reaction Networks
• Spontaneous organizations of diverse network structures in coupled logistic maps with a delayed connection change
• Properties of Random Complex Chemical Reaction Networks and Their Relevance to Biological Toy Models
• The three different phases in the dynamics of chemical reaction networks and their relationship to cancer
• Self-Organization of Diverse Directional Hierarchical Networks in Simple Coupled Maps with Connection Changes