Comments on the information, information gain and efficiency of self-organizing systems

Haken recently applied the slaving principle to decompose expressions for information, information gain and efficiency of self-organizing systems into two parts. The first part in each case depends on the order parameter while the second on the slaved modes. Close to the instability points the latter contribution can be ignored. In this paper we elaborate on the formulas given by Haken and find exact expressions which are analytical in the entire domain of the values of control parameters. We also find their asymptotic limits in the immediate proximity of the instability point and far away from it. Our results provide a direct way of relating information, information gain and efficiency of nonequilibrium critical systems to their control parameters.