Before revision:  Using mean field approximations, we measure \phi in a kinetic Ising models of infinite size. We find that information integration diverges in some cases when the system is near critical pointsin continuous phase transitions .
After revision:  Using mean field approximations, we measure \phi in a kinetic Ising models and mean-field approximations from statistical mechanics, we show that information integration diverges in some cases when the system is near critical pointsin continuous phase transitions .