RELAXATION DYNAMICS IN DYSONS MODEL FOR THE ORIGIN OF METABOLISM

This payer discusses some aspect of the dynamical evolution of the sys tem described by Dyson's model for the origin of metabolism. First, th e mean number of mutation events required to observe the origin of met abolism in the model is calculated. This number can span a large range depending upon the values of some critical parameters. Second, the dy namics of the relaxation to equilibrium is investigated by computing t he correlation function of an on-off random function that defines the instantaneous state of the system. It was found that the dynamics of t he system is well described by a double or a stretched exponential rel axation.